<?xml version="1.0" encoding="UTF-8" ?>
<rss version="2.0">
    <channel>
      <title>Jan Pastorek</title>
      <link>https://janpastorek.com</link>
      <description>Last 20 notes on Jan Pastorek</description>
      <generator>Quartz -- quartz.jzhao.xyz</generator>
      <item>
    <title>Haven</title>
    <link>https://janpastorek.com/</link>
    <guid>https://janpastorek.com/</guid>
    <description><![CDATA[ &lt;div class=&quot;intro&quot;&gt;
&lt;div class=&quot;intro-text&quot;&gt;
&lt;p&gt;Welcome to my academic haven! I am Jan and I live in Slovakia with my wife Anna and I’m interested in the structure of reality and its deepest principles.&lt;/p&gt;
&lt;div class=&quot;social-links&quot;&gt;
  &lt;a href=&quot;mailto:%6A%61%6E.%70%61%73%74%6F%72%65%6B@%66%6D%70%68.%75%6E%69%62%61.%73%6B&quot; title=&quot;Email&quot; aria-label=&quot;Email&quot; class=&quot;external external-link&quot;&gt;&lt;svg viewBox=&quot;0 0 24 24&quot; width=&quot;22&quot; height=&quot;22&quot; fill=&quot;currentColor&quot; aria-hidden=&quot;true&quot;&gt;&lt;path d=&quot;M20 4H4c-1.1 0-2 .9-2 2v12c0 1.1.9 2 2 2h16c1.1 0 2-.9 2-2V6c0-1.1-.9-2-2-2zm0 4-8 5-8-5V6l8 5 8-5v2z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;
  &lt;a href=&quot;https://www.linkedin.com/in/j%C3%A1n-pastorek-a0429520a/&quot; title=&quot;LinkedIn&quot; aria-label=&quot;LinkedIn&quot; target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; class=&quot;external external-link&quot;&gt;&lt;svg viewBox=&quot;0 0 448 512&quot; width=&quot;22&quot; height=&quot;22&quot; fill=&quot;currentColor&quot; aria-hidden=&quot;true&quot;&gt;&lt;path d=&quot;M416 32H31.9C14.3 32 0 46.5 0 64.3v383.4C0 465.5 14.3 480 31.9 480H416c17.6 0 32-14.5 32-32.3V64.3c0-17.8-14.4-32.3-32-32.3zM135.4 416H69V202.2h66.5V416zm-33.2-243c-21.3 0-38.5-17.3-38.5-38.5S80.9 96 102.2 96c21.2 0 38.5 17.3 38.5 38.5 0 21.3-17.2 38.5-38.5 38.5zm282.1 243h-66.4V312c0-24.8-.5-56.7-34.5-56.7-34.6 0-39.9 27-39.9 54.9V416h-66.4V202.2h63.7v29.2h.9c8.9-16.8 30.6-34.5 62.9-34.5 67.2 0 79.7 44.3 79.7 101.9V416z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;
  &lt;a href=&quot;https://orcid.org/0000-0001-8237-1275&quot; title=&quot;ORCID&quot; aria-label=&quot;ORCID&quot; target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; class=&quot;external external-link&quot;&gt;&lt;svg viewBox=&quot;0 0 24 24&quot; width=&quot;22&quot; height=&quot;22&quot; fill=&quot;currentColor&quot; aria-hidden=&quot;true&quot;&gt;&lt;path d=&quot;M12 0C5.372 0 0 5.372 0 12s5.372 12 12 12 12-5.372 12-12S18.628 0 12 0zM7.369 4.378c.525 0 .947.431.947.947s-.422.947-.947.947a.95.95 0 0 1-.947-.947c0-.525.422-.947.947-.947zm-.722 3.038h1.444v10.041H6.647V7.416zm3.562 0h3.9c3.712 0 5.344 2.653 5.344 5.025 0 2.578-2.016 5.025-5.325 5.025h-3.919V7.416zm1.444 1.303v7.444h2.297c3.272 0 4.022-2.484 4.022-3.722 0-2.016-1.284-3.722-4.097-3.722h-2.222z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;
  &lt;a href=&quot;https://scholar.google.com/citations?user=szwPIKgAAAAJ&quot; title=&quot;Google Scholar&quot; aria-label=&quot;Google Scholar&quot; target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; class=&quot;external external-link&quot;&gt;&lt;svg viewBox=&quot;0 0 24 24&quot; width=&quot;22&quot; height=&quot;22&quot; fill=&quot;currentColor&quot; aria-hidden=&quot;true&quot;&gt;&lt;path d=&quot;M5.242 13.769L0 9.5 12 0l12 9.5-5.242 4.269C17.548 11.249 14.978 9.5 12 9.5c-2.977 0-5.548 1.748-6.758 4.269zM12 10a7 7 0 1 0 0 14 7 7 0 0 0 0-14z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;
  &lt;a href=&quot;https://github.com/JanPastorek&quot; title=&quot;GitHub&quot; aria-label=&quot;GitHub&quot; target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; class=&quot;external external-link&quot;&gt;&lt;svg viewBox=&quot;0 0 24 24&quot; width=&quot;22&quot; height=&quot;22&quot; fill=&quot;currentColor&quot; aria-hidden=&quot;true&quot;&gt;&lt;path d=&quot;M12 .297c-6.63 0-12 5.373-12 12 0 5.303 3.438 9.8 8.205 11.385.6.113.82-.258.82-.577 0-.285-.01-1.04-.015-2.04-3.338.724-4.042-1.61-4.042-1.61C4.422 18.07 3.633 17.7 3.633 17.7c-1.087-.744.084-.729.084-.729 1.205.084 1.838 1.236 1.838 1.236 1.07 1.835 2.809 1.305 3.495.998.108-.776.417-1.305.76-1.605-2.665-.3-5.466-1.332-5.466-5.93 0-1.31.465-2.38 1.235-3.22-.135-.303-.54-1.523.105-3.176 0 0 1.005-.322 3.3 1.23.96-.267 1.98-.399 3-.405 1.02.006 2.04.138 3 .405 2.28-1.552 3.285-1.23 3.285-1.23.645 1.653.24 2.873.12 3.176.765.84 1.23 1.91 1.23 3.22 0 4.61-2.805 5.625-5.475 5.92.42.36.81 1.096.81 2.22 0 1.606-.015 2.896-.015 3.286 0 .315.21.69.825.57C20.565 22.092 24 17.592 24 12.297c0-6.627-5.373-12-12-12&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;
  &lt;a href=&quot;https://stackoverflow.com/users/12492630&quot; title=&quot;Stack Overflow&quot; aria-label=&quot;Stack Overflow&quot; target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; class=&quot;external external-link&quot;&gt;&lt;svg viewBox=&quot;0 0 24 24&quot; width=&quot;22&quot; height=&quot;22&quot; fill=&quot;currentColor&quot; aria-hidden=&quot;true&quot;&gt;&lt;path d=&quot;M15.725 0l-1.72 1.277 6.39 8.588 1.716-1.277L15.725 0zm-3.94 3.418l-1.369 1.644 8.225 6.85 1.369-1.644-8.225-6.85zm-3.15 4.465l-.905 1.94 9.702 4.517.904-1.94-9.701-4.517zm-1.85 4.86l-.44 2.093 10.473 2.201.44-2.092-10.473-2.203zM1.89 15.47V24h19.19v-8.53h-2.133v6.397H4.021v-6.396H1.89zm4.265 2.133v2.13h10.66v-2.13H6.154Z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;
&lt;/div&gt;
&lt;p&gt;&lt;strong&gt;PhD student&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;Department of Applied Informatics&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;Comenius University in Bratislava&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;Slovakia&lt;/strong&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;div class=&quot;intro-photo&quot;&gt;
&lt;p&gt;&lt;img src=&quot;./images/jan-pastorek-headshot.png&quot; alt=&quot;&quot; width=&quot;300&quot; height=&quot;auto&quot;&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;p&gt;&lt;a href=&quot;./cv&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;cv&quot;&gt;Curriculum Vitae&lt;/a&gt; · &lt;a href=&quot;./output&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;output&quot;&gt;Publications &amp;#x26; Talks&lt;/a&gt; · &lt;a href=&quot;./teaching&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;teaching&quot;&gt;Teaching &amp;#x26; Supervision&lt;/a&gt; · &lt;a href=&quot;./projects-grants-awards&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;projects-grants-awards&quot;&gt;Projects, Grants &amp;#x26; Awards&lt;/a&gt; · &lt;a href=&quot;./outreach&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;outreach&quot;&gt;Outreach&lt;/a&gt; · &lt;a href=&quot;./posts&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;posts&quot;&gt;Posts&lt;/a&gt;&lt;/p&gt;
&lt;hr&gt;
&lt;h1 id=&quot;research&quot;&gt;research&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#research&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h1&gt;
&lt;p&gt;My work comes back to one question: &lt;strong&gt;how much of a structure’s global behaviour is already settled by its local parts&lt;/strong&gt;? In graph theory this becomes very concrete. A graph can be completely rigid — &lt;em&gt;asymmetric&lt;/em&gt;, with no nontrivial automorphism — and yet still be full of &lt;em&gt;partial&lt;/em&gt; symmetries (partial automorphisms): small pieces that could be swapped if you only ever looked at them locally. I study those partial automorphisms, and the inverse monoids they form, and how far you have to look before a local symmetry either extends to a global one or breaks. That “how far” is what I call asymmetric depth (if the structure under consideration is asymmetric).&lt;/p&gt;
&lt;p&gt;The same tension drives some of the oldest problems in the field. The graph reconstruction conjectures ask it directly — whether a graph is determined by / uniquely reconstructible from the collection of its subgraphs.  The graph isomorphism problem — given two finite graphs, can a computer quickly decide if they are isomorphic? Usually, to find an isomorphism, you try to pass local information across the graph to build a global picture (like the Weisfeiler-Lehman algorithm, which iteratively colors nodes based on their neighbors’ colors). Ultimately, graph isomorphism is hard because local uniformity might hide global uniqueness. You cannot easily “stitch together” local invariants into a definitive global mapping without hitting a wall of symmetry that requires exponential guessing to resolve.&lt;/p&gt;
&lt;p&gt;Sparsity is where this stops being abstract. Real networks — brains among them — are sparse, because connections cost something, and sparse classes are exactly where the bounds for asymmetric depth get sharper.&lt;/p&gt;
&lt;p&gt;What keeps me interested is that this tension between local and global, partial and total is not just about graphs. The threshold where local rules fail to dictate global states is the core mystery of &lt;strong&gt;emergence&lt;/strong&gt;.&lt;/p&gt;
&lt;p&gt;More recently, with the advent of LLMs and groundbreaking results, I have been interested in AI and &lt;strong&gt;automated reasoning&lt;/strong&gt;, especially in math. Can we teach AI to prove conjectures? Can it itself generate interesting conjecture … to carve at the joints? What are interesting conjectures?&lt;/p&gt;
&lt;hr&gt;
&lt;h1 id=&quot;research-interests&quot;&gt;research interests&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#research-interests&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h1&gt;
&lt;ul&gt;
&lt;li&gt;algebraic graph theory, particularly graph isomorphism problem, graph reconstruction conjecture, asymmetric graphs and partial automorphism inverse monoids of graphs and Weisfeiler-Leman algorithm &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;./output#topic-graphs&quot; data-slug=&quot;output&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;complex adaptive systems, particularly &lt;em&gt;“how can emergent states appear in complex systems?”&lt;/em&gt; &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;./output#topic-complex&quot; data-slug=&quot;output&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;AI for mathematics, particularly automated conjecturing, refutation and formalization &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;./output#topic-aimath&quot; data-slug=&quot;output&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;h3 id=&quot;further-interests&quot;&gt;further interests&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#further-interests&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;ul&gt;
&lt;li&gt;history and philosophy of science and mathematics&lt;/li&gt;
&lt;li&gt;cognitive science, particularly semantic structure in embedding spaces of machine learning models and the history of the field &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;./output#topic-cogsci&quot; data-slug=&quot;output&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;quantum nonlocal games, particularly application AI (reinforcement learning) for violating Bell inequalities &lt;span class=&quot;evidence-note&quot;&gt;see my &lt;a href=&quot;./cv#bsc-thesis&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;cv&quot;&gt;bachelor thesis&lt;/a&gt; and my &lt;a href=&quot;./cv#rcqi&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;cv&quot;&gt;research internship&lt;/a&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt; ]]></description>
    <pubDate>Thu, 10 Sep 2026 09:38:13 GMT</pubDate>
  </item><item>
    <title>Posts</title>
    <link>https://janpastorek.com/posts/</link>
    <guid>https://janpastorek.com/posts/</guid>
    <description><![CDATA[ &lt;p&gt;Things I want to think through in public: bits of graph theory, notes from talks and reading, and the occasional argument I could not fit into a paper.&lt;/p&gt;
&lt;p&gt;&lt;a href=&quot;../index.xml&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;index.xml&quot;&gt;Subscribe by RSS&lt;/a&gt;&lt;/p&gt; ]]></description>
    <pubDate>Thu, 10 Sep 2026 09:38:13 GMT</pubDate>
  </item><item>
    <title>Curriculum Vitae</title>
    <link>https://janpastorek.com/cv</link>
    <guid>https://janpastorek.com/cv</guid>
    <description><![CDATA[ &lt;div class=&quot;cv&quot;&gt;
&lt;div class=&quot;cv-actions no-print&quot;&gt;&lt;button type=&quot;button&quot; class=&quot;pdf-button&quot; onclick=&quot;var d=[].slice.call(document.querySelectorAll(&amp;#x27;details:not(.abstract-inline)&amp;#x27;)),w=d.map(function(x){return x.open});d.forEach(function(x){x.open=true});window.print();setTimeout(function(){d.forEach(function(x,i){x.open=w[i]})},0)&quot;&gt;Download PDF&lt;/button&gt;&lt;/div&gt;
&lt;h2 id=&quot;personal-information&quot;&gt;Personal Information&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#personal-information&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Name&lt;/strong&gt; Ján Pastorek&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Email&lt;/strong&gt; &lt;a href=&quot;mailto:jan.pastorek@fmph.uniba.sk&quot; class=&quot;external external-link&quot;&gt;jan.pastorek@fmph.uniba.sk&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;ORCID&lt;/strong&gt; &lt;a href=&quot;https://orcid.org/0000-0001-8237-1275&quot; class=&quot;external external-link&quot;&gt;0000-0001-8237-1275&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Nationality&lt;/strong&gt; Slovak&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Web&lt;/strong&gt; &lt;a href=&quot;https://janpastorek.com/&quot; class=&quot;external external-link&quot;&gt;janpastorek.com&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;education&quot;&gt;Education&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#education&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2023–  expected before August 2027&lt;/strong&gt; &lt;strong&gt;PhD, Computer Science&lt;/strong&gt;&lt;br&gt;
Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava&lt;br&gt;
Thesis: &lt;em&gt;On the interplay between global and local symmetries&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2021–2023&lt;/strong&gt; &lt;strong&gt;Master’s degree, Cognitive Science&lt;/strong&gt; (with honors)&lt;br&gt;
Comenius University in Bratislava &amp;#x26; Universität Wien (joint MEi:CogSci programme with Eötvös Loránd University Budapest and University of Ljubljana)&lt;br&gt;
Thesis: &lt;em&gt;Global Versus Local Symmetries&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2021–2022&lt;/strong&gt; &lt;strong&gt;Certificate, Liberal Arts&lt;/strong&gt;&lt;br&gt;
St. John’s College, Annapolis &amp;#x26; Santa Fe&lt;br&gt;
Great Books programme; classics of natural science, mathematics and philosophy&lt;/li&gt;
&lt;li&gt;&lt;span id=&quot;bsc-thesis&quot;&gt;&lt;/span&gt;&lt;strong&gt;2018–2021&lt;/strong&gt; &lt;strong&gt;Bachelor’s degree, Computer Science&lt;/strong&gt; (with honors)&lt;br&gt;
Comenius University in Bratislava&lt;br&gt;
Thesis: &lt;em&gt;Machine learning for nonlocal games&lt;/em&gt; — &lt;strong&gt;Dean’s award for the best bachelor thesis&lt;/strong&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2018–2020&lt;/strong&gt; &lt;strong&gt;Certificate, Liberal Arts programme&lt;/strong&gt;&lt;br&gt;
Collegium of Anton Neuwirth&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;current-position&quot;&gt;Current Position&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#current-position&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2023–present&lt;/strong&gt; &lt;strong&gt;Doctoral Student&lt;/strong&gt;&lt;br&gt;
Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;previous-experience&quot;&gt;Previous Experience&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#previous-experience&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2022–2023&lt;/strong&gt; &lt;strong&gt;Researcher&lt;/strong&gt;, CulturePulse&lt;br&gt;
agent-based model (NetLogo, Simudyne) of how anxiety propagates through groups in conflict zones, with the Woolf Institute (Cambridge)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2020–2023&lt;/strong&gt; &lt;strong&gt;Data Analyst &amp;#x26; Co-founder&lt;/strong&gt; (part-time), DEKK Institute&lt;br&gt;
data analysis of the disintegration of social cohesion in Slovakia, using World Values Survey data&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2020–2021&lt;/strong&gt; &lt;strong&gt;High School Computer Science Teacher&lt;/strong&gt; (part-time), United School of St. Ursula&lt;/li&gt;
&lt;li&gt;&lt;span id=&quot;rcqi&quot;&gt;&lt;/span&gt;&lt;strong&gt;2020&lt;/strong&gt; &lt;strong&gt;Researcher intern&lt;/strong&gt;, RCQI – Research Center for Quantum Information, Slovak Academy of Sciences&lt;br&gt;
Reinforcement learning applied to violating CHSH/Bell inequalities in non-local games&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;research-visits&quot;&gt;Research visits&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#research-visits&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2024&lt;/strong&gt; Erasmus+ research visit, TU Darmstadt — Prof. P. Schweitzer’s group (&lt;em&gt;Weisfeiler-Leman &amp;#x26; partial automorphisms&lt;/em&gt;)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2024&lt;/strong&gt; Erasmus+ research visit, DTU Copenhagen — Peter Zeman, PhD (&lt;em&gt;Weisfeiler-Leman &amp;#x26; partial automorphisms&lt;/em&gt;)&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;grants--stipends&quot;&gt;Grants &amp;#x26; Stipends&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#grants--stipends&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;projects-grants-awards&quot; data-block=&quot;#grants--stipends&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./projects-grants-awards#grants--stipends&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;projects-grants-awards&quot;&gt;Transclude of projects-grants-awards#grants--stipends&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;research-project-participation&quot;&gt;Research project participation&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#research-project-participation&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;projects-grants-awards&quot; data-block=&quot;#research-project-participation&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./projects-grants-awards#research-project-participation&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;projects-grants-awards&quot;&gt;Transclude of projects-grants-awards#research-project-participation&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;computing-allocations&quot;&gt;Computing allocations&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#computing-allocations&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;projects-grants-awards&quot; data-block=&quot;#computing-allocations&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./projects-grants-awards#computing-allocations&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;projects-grants-awards&quot;&gt;Transclude of projects-grants-awards#computing-allocations&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;awards&quot;&gt;Awards&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#awards&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;projects-grants-awards&quot; data-block=&quot;#awards&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./projects-grants-awards#awards&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;projects-grants-awards&quot;&gt;Transclude of projects-grants-awards#awards&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;teaching--supervision&quot;&gt;Teaching &amp;#x26; Supervision&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#teaching--supervision&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;teaching&quot; data-block=&quot;&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./teaching&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;teaching&quot;&gt;Transclude of teaching&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;refereeing&quot;&gt;Refereeing&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#refereeing&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Journal&lt;/strong&gt; Journal of Graph Theory&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Proceedings&lt;/strong&gt; ITAT CADM&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;publications&quot;&gt;Publications&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#publications&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;strong&gt;Peer-reviewed&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;output&quot; data-block=&quot;#peer-reviewed-publications&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./output#peer-reviewed-publications&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;output&quot;&gt;Transclude of output#peer-reviewed-publications&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Preprints and manuscripts under review&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;output&quot; data-block=&quot;#preprints-and-manuscripts-under-review&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./output#preprints-and-manuscripts-under-review&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;output&quot;&gt;Transclude of output#preprints-and-manuscripts-under-review&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;In preparation&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;output&quot; data-block=&quot;#in-preparation&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./output#in-preparation&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;output&quot;&gt;Transclude of output#in-preparation&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;talks&quot;&gt;Talks&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#talks&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;strong&gt;Invited&lt;/strong&gt;&lt;br&gt;
&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;output&quot; data-block=&quot;#invited-talks&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./output#invited-talks&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;output&quot;&gt;Transclude of output#invited-talks&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Contributed&lt;/strong&gt;&lt;br&gt;
&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;output&quot; data-block=&quot;#contributed-talks&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./output#contributed-talks&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;output&quot;&gt;Transclude of output#contributed-talks&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;projects&quot;&gt;Projects&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#projects&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;&lt;/p&gt;&lt;blockquote class=&quot;transclude&quot; data-url=&quot;projects-grants-awards&quot; data-block=&quot;#projects&quot; data-embed-alias=&quot;&quot;&gt;&lt;a href=&quot;./projects-grants-awards#projects&quot; class=&quot;transclude-inner internal internal-link alias&quot; data-slug=&quot;projects-grants-awards&quot;&gt;Transclude of projects-grants-awards#projects&lt;/a&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;/p&gt;
&lt;h2 id=&quot;skills&quot;&gt;Skills&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#skills&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Programming&lt;/strong&gt; Julia, Python, Java, C++&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Graph software&lt;/strong&gt; nauty / geng, SageMath, GAP; Graphs.jl &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;./output#software&quot; data-slug=&quot;output&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Machine learning&lt;/strong&gt; Reinforcement learning; NLP and word embeddings; network analysis &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;./output#topic-ai&quot; data-slug=&quot;output&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;LLMs&lt;/strong&gt; Automated reasoning pipelines: conjecturing, refutation and formalization &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;./output#topic-aimath&quot; data-slug=&quot;output&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Modeling&lt;/strong&gt; Agent-based modeling (NetLogo, Simudyne) &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;#previous-experience&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Computing&lt;/strong&gt; Parallel algorithms on HPC clusters (Clara, Perun); Lean formalization &lt;a class=&quot;evidence-link internal internal-link alias&quot; href=&quot;#computing-allocations&quot;&gt;see the work&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;languages&quot;&gt;Languages&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#languages&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Native&lt;/strong&gt; Slovak, Czech&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;C1&lt;/strong&gt; English (Cambridge CAE)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;B1&lt;/strong&gt; German, Latin&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;/div&gt; ]]></description>
    <pubDate>Thu, 10 Sep 2026 08:43:06 GMT</pubDate>
  </item><item>
    <title>Output</title>
    <link>https://janpastorek.com/output</link>
    <guid>https://janpastorek.com/output</guid>
    <description><![CDATA[ &lt;div class=&quot;topic-filter&quot; role=&quot;group&quot; aria-label=&quot;Filter by research theme&quot;&gt;
&lt;button type=&quot;button&quot; class=&quot;topic-chip is-active&quot; data-topic=&quot;all&quot;&gt;All&lt;/button&gt;
&lt;button type=&quot;button&quot; class=&quot;topic-chip&quot; data-topic=&quot;graphs&quot;&gt;Algebraic graph theory&lt;/button&gt;
&lt;button type=&quot;button&quot; class=&quot;topic-chip&quot; data-topic=&quot;aimath&quot;&gt;AI for mathematics&lt;/button&gt;
&lt;button type=&quot;button&quot; class=&quot;topic-chip&quot; data-topic=&quot;ai&quot;&gt;AI &amp;#x26; machine learning&lt;/button&gt;
&lt;button type=&quot;button&quot; class=&quot;topic-chip&quot; data-topic=&quot;complex&quot;&gt;Complex systems&lt;/button&gt;
&lt;button type=&quot;button&quot; class=&quot;topic-chip&quot; data-topic=&quot;cogsci&quot;&gt;Cognitive science&lt;/button&gt;
&lt;/div&gt;
&lt;script&gt;
(function () {
  var MAP = {
    graphs: [&quot;asymmetric&quot;, &quot;automorphism&quot;, &quot;weisfeiler&quot;, &quot;toroidal&quot;, &quot;fullerene&quot;, &quot;conference graph&quot;, &quot;graph isomorphism&quot;, &quot;defective coloring&quot;, &quot;token graph&quot;, &quot;partial symmetr&quot;, &quot;girth&quot;, &quot;cubic graph&quot;, &quot;graph embedding&quot;],
    aimath: [&quot;autographforge&quot;, &quot;lean formalization&quot;, &quot;automated graph theory&quot;, &quot;conjectur&quot;],
    ai: [&quot;autographforge&quot;, &quot;natural language processing&quot;, &quot;artificial intelligence&quot;, &quot;machine learning&quot;, &quot;reinforcement learning&quot;],
    complex: [&quot;causal emergence&quot;, &quot;social cohesion&quot;, &quot;brain network&quot;, &quot;emergent&quot;],
    cogsci: [&quot;cogsci&quot;, &quot;cognitive science&quot;, &quot;semantic primitive&quot;, &quot;ernst mach&quot;, &quot;word embedding&quot;]
  };
  function topicsOf(el) {
    var out = {};
    Array.prototype.forEach.call(el.querySelectorAll(&quot;a.tag-link&quot;), function (a) {
      var slug = (a.dataset.slug || &quot;&quot;).replace(/^tags\//, &quot;&quot;);
      if (MAP[slug]) { out[slug] = true; }
    });
    var t = (el.textContent || &quot;&quot;).toLowerCase();
    Object.keys(MAP).forEach(function (k) {
      if (MAP[k].some(function (w) { return t.indexOf(w) !== -1; })) { out[k] = true; }
    });
    return out;
  }
  function setup() {
    var bar = document.querySelector(&quot;.topic-filter&quot;);
    if (!bar) { return; }
    var root = bar.closest(&quot;article&quot;) || document;
    var groups = [], current = null;
    Array.prototype.forEach.call(root.querySelectorAll(&quot;h3, p, li&quot;), function (el) {
      if (el.closest(&quot;.topic-filter&quot;)) { return; }
      if (el.tagName === &quot;H3&quot;) { current = { head: el, items: [] }; groups.push(current); return; }
      if (!current) { return; }
      if (el.closest(&quot;details&quot;)) { return; }
      if (el.tagName === &quot;P&quot; &amp;&amp; el.closest(&quot;li&quot;)) { return; }
      current.items.push({ el: el, topics: topicsOf(el) });
    });
    function apply(topic) {
      groups.forEach(function (g) {
        var shown = 0;
        g.items.forEach(function (it) {
          var vis = topic === &quot;all&quot; || !!it.topics[topic];
          it.el.style.display = vis ? &quot;&quot; : &quot;none&quot;;
          if (vis) { shown++; }
        });
        g.head.style.display = (!g.items.length || shown) ? &quot;&quot; : &quot;none&quot;;
      });
      Array.prototype.forEach.call(bar.querySelectorAll(&quot;.topic-chip&quot;), function (c) {
        c.classList.toggle(&quot;is-active&quot;, c.dataset.topic === topic);
      });
      Array.prototype.forEach.call(root.querySelectorAll(&quot;a.tag-link&quot;), function (a) {
        var slug = (a.dataset.slug || &quot;&quot;).replace(/^tags\//, &quot;&quot;);
        a.classList.toggle(&quot;is-active&quot;, topic !== &quot;all&quot; &amp;&amp; slug === topic);
      });
    }
    function go(t) {
      history.replaceState(null, &quot;&quot;, t === &quot;all&quot; ? location.pathname : location.pathname + &quot;#topic-&quot; + t);
      apply(t);
    }
    bar.onclick = function (e) {
      var c = e.target.closest(&quot;.topic-chip&quot;);
      if (c) { go(c.dataset.topic); }
    };
    window.__topicGo = go;
    var m = /#topic-([a-z]+)/.exec(location.hash);
    apply(m &amp;&amp; MAP[m[1]] ? m[1] : &quot;all&quot;);
  }
  if (document.readyState !== &quot;loading&quot;) { setup(); } else { document.addEventListener(&quot;DOMContentLoaded&quot;, setup); }
  if (!window.__topicFilterNav) {
    window.__topicFilterNav = 1;
    document.addEventListener(&quot;nav&quot;, setup);
    document.addEventListener(&quot;click&quot;, function (e) {
      var a = e.target.closest &amp;&amp; e.target.closest(&quot;a.tag-link&quot;);
      if (!a || !a.closest(&quot;article&quot;) || !window.__topicGo) { return; }
      var slug = (a.dataset.slug || &quot;&quot;).replace(/^tags\//, &quot;&quot;);
      if (!MAP[slug]) { return; }
      e.preventDefault();
      e.stopImmediatePropagation();
      window.__topicGo(slug);
    }, true);
  }
})();
&lt;/script&gt;
&lt;h3 id=&quot;peer-reviewed-publications&quot;&gt;peer-reviewed publications&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#peer-reviewed-publications&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;p&gt;Pastorek, J. (2026). “AutoGraphForge: Towards Automated Graph Theory Discovery.” Accepted, to appear in ITAT 2026, Aachen: CEUR-WS. Preprint: &lt;a href=&quot;https://arxiv.org/abs/2609.03478&quot; class=&quot;external external-link&quot;&gt;arXiv:2609.03478&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;  &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt; &lt;a href=&quot;./tags/aimath&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/aimath&quot;&gt;aimath&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Cingel, V., Jajcayová, T., Pastorek, J. (2024). “Partial automorphisms and level of symmetry of asymmetric graphs.” In ITAT 2024, Aachen: CEUR-WS, pp. 162-170. &lt;a href=&quot;https://ceur-ws.org/Vol-3792/paper20.pdf&quot; class=&quot;external external-link&quot;&gt;PDF&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;h3 id=&quot;preprints-and-manuscripts-under-review&quot;&gt;preprints and manuscripts under review&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#preprints-and-manuscripts-under-review&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;p&gt;Jajcayová, T., Pastorek, J. “Maximal asymmetric depth of graphs” &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Pastorek, J. “Extremal Asymmetric Depth of Planar Graphs and Hidden Near-Mirror Symmetries of IPR Fullerenes.” Preprint: &lt;a href=&quot;https://arxiv.org/abs/2609.02585&quot; class=&quot;external external-link&quot;&gt;arXiv:2609.02585&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Lane, J., Puga-Gonzalez, I., Normann, R., Shults, L. R., Pastorek, J. (2024). “Emotional Contagion in Scandinavia during the COVID-19 Public Health Crisis.” Preprint: &lt;a href=&quot;https://osf.io/preprints/psyarxiv/9e5f7&quot; class=&quot;external external-link&quot;&gt;PsyArXiv, 10.31234/osf.io/9e5f7&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; &lt;a href=&quot;./tags/complex&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/complex&quot;&gt;complex&lt;/a&gt; &lt;a href=&quot;./tags/cogsci&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/cogsci&quot;&gt;cogsci&lt;/a&gt; &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Petruskova, J., Pastorek, J., Mucskova, L., Harazim, H., Stourac, P. “Facial Recognition–Based Artificial Intelligence Models for Difficult Airway Prediction: A Systematic Review.” &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt;&lt;/p&gt;
&lt;h3 id=&quot;in-preparation&quot;&gt;in preparation&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#in-preparation&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;p&gt;Maceková, M., Pastorek, J., Soták, R., Švecová, D. “Four-color defective colorings of toroidal graphs.” &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Pastorek, J., Sarto-Jackson, I. “Austrian Roots of Cognitive Science: An Interdisciplinary Analysis of Ernst Mach’s Contributions.” &lt;a href=&quot;./tags/cogsci&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/cogsci&quot;&gt;cogsci&lt;/a&gt; &lt;a href=&quot;./tags/complex&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/complex&quot;&gt;complex&lt;/a&gt; &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Jedlička, P., Pastorek, J., Varchola, J. “Causation and emergence in neuroscience from a dynamical complex systems perspective.” &lt;a href=&quot;./tags/complex&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/complex&quot;&gt;complex&lt;/a&gt;&lt;/p&gt;
&lt;h3 id=&quot;invited-talks&quot;&gt;invited talks&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#invited-talks&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2026). Title to be announced, &lt;a href=&quot;http://combinatoricswiki.org/wiki/Mirka_Miller%27s_Combinatorics_Webinar_Series&quot; class=&quot;external external-link&quot;&gt;Mirka Miller Combinatorics Webinar Series&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;, 18.11.2026 &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2025). “Forth from Extensions of Partial Automorphisms to the Weisfeiler–Leman Algorithm &amp;#x26; Counting Logic &amp;#x26; Bijective Pebble Games—and Back Again”, &lt;a href=&quot;http://euler.doa.fmph.uniba.sk/Austria-Slovakia.html&quot; class=&quot;external external-link&quot;&gt;Algebraic Graph Theory Seminar&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;, 12.12.2025 &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;The graph isomorphism (GI) problem sits in an unresolved position between P and NP-complete and is polynomially equivalent to computing an orbit partition of a graph’s automorphism group. The Weisfeiler–Leman (WL) algorithm is a central combinatorial method for isomorphism testing that iteratively aggregates local neighbourhood information to approximate this orbit structure. A partial automorphism of a graph is an isomorphism between induced subgraphs of a graph. The set of all partial automorphisms under composition and inverses forms a partial automorphism inverse monoid which encodes complete algebraic information.&lt;/p&gt;
&lt;p&gt;In this talk, we discuss how these viewpoints of WL and partial automorphisms can be related. In particular, we review four different but equivalent perspectives on WL and show how they interact. After reviewing the necessary background, we revisit the &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6944em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.0315em;&quot;&gt;k&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;-dimensional WL algorithm and its logical characterization via bijective pebble games. From duplicator strategies in the bijective k-pebble game played on two copies of the same graph, one can collect all pebbled positions into a set of partial automorphisms of rank at most k. Among others, this set inherits back-and-forth extension properties from the underlying game.&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2025). “Partial automorphisms and Asymmetric depth of not only sparse graphs.” Košický kombinatorický seminár, 28.10.2025 &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt; &lt;a href=&quot;./tags/complex&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/complex&quot;&gt;complex&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;While it is well-established that almost all graphs are asymmetric, possessing no nontrivial global automorphisms, all graphs contain non-trivial local symmetries which we study using isomorphisms between induced subgraphs, known as partial automorphisms. The set of all partial automorphisms, along with the operations of partial composition and partial inverse of partial maps, forms an inverse monoid, which is a rich and complex algebraic structure. However, it is hard to compute. In this talk, we are motivated by the study of partial automorphism inverse monoids of graphs initiated by [1]. We investigate the extent of these local symmetries through the measure of asymmetric depth of graphs defined through the rank of the largest non-trivial partial automorphism. We established a new, tight lower bound for the asymmetric depth of any simple graph &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6833em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; on &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.4306em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; vertices. Any graph achieving this bound must be a strongly regular graph with parameters &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/2&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;5&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/4&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/4&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;, also known as a conference graph. We implemented a parallel algorithm for checking asymmetric depth on a high-performance cluster. Using this algorithm, we identified an asymmetric conference graph on 37 vertices that attains this bound, thereby proving its tightness. We also showed that it is one of the smallest possible graphs to attain this bound by checking all asymmetric conference graphs up to 37 vertices. We showed how the bound applies to sparse graphs such as planar graphs.&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2025). “Maximal Asymmetric Depth and Conference Graphs.” Bratislavský seminár z teórie grafov, 23.10.2025 &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;Almost all graphs are asymmetric, possessing no nontrivial global automorphisms. Despite this fact, all graphs contain non-trivial local symmetries which we study using isomorphisms between induced subgraphs, known as partial automorphisms. We investigate the extent of asymmetry of graphs through the measure of asymmetric depth defined through the rank of the largest non-trivial partial automorphism. We will show a lower bound for the asymmetric depth of any simple graph &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6833em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; on &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.4306em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; vertices. Any graph achieving this bound must be a strongly regular graph with parameters &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/2&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;5&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/4&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/4&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;, also known as a conference graph. We implemented a parallel algorithm for checking asymmetric depth on a high-performance cluster. Using this algorithm, we identified an asymmetric conference graph on 37 vertices that attains this bound, thereby proving its tightness. We showed that it is of the smallest possible order to attain this bound by checking all asymmetric conference graphs up to 37 vertices. The talk is based on joint work with Tatiana Jajcayová&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h3 id=&quot;contributed-talks&quot;&gt;contributed talks&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#contributed-talks&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2026). “AutoGraphForge: Towards Automated Graph Theory Discovery” at &lt;a href=&quot;https://itat.ics.upjs.sk/index.php?id=program#cadm2&quot; class=&quot;external external-link&quot;&gt;ITAT 2026&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;  &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt; &lt;a href=&quot;./tags/aimath&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/aimath&quot;&gt;aimath&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2026). “AutoGraphForge: Conjecturing, Refutation and Lean Formalization in One Loop” at &lt;a href=&quot;https://cicm-conference.org/2026/cicm.php?event=ai4math&amp;#x26;menu=program&quot; class=&quot;external external-link&quot;&gt;CICM 2026, AI4Math&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt; &lt;a href=&quot;./tags/aimath&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/aimath&quot;&gt;aimath&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2026). “Extremal asymmetric depth of planar and higher-genus graphs” at &lt;a href=&quot;https://csgt2026.tuke.sk/&quot; class=&quot;external external-link&quot;&gt;CSGT 2026&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;Although almost all graphs are known to be asymmetric — having no nontrivial global automorphisms — they may still possess local symmetries in the form of isomorphisms between induced subgraphs, i.e., partial automorphisms. We study such local symmetries via &lt;em&gt;asymmetric depth&lt;/em&gt;, defined as &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;d&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;=&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6667em;vertical-align:-0.0833em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.0315em;&quot;&gt;k&lt;/span&gt;&lt;span class=&quot;msupsub&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.1514em;&quot;&gt;&lt;span style=&quot;top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:2.7em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;sizing reset-size6 size3 mtight&quot;&gt;&lt;span class=&quot;mord mtight&quot;&gt;&lt;span class=&quot;mop mtight&quot;&gt;&lt;span class=&quot;mtight&quot;&gt;m&lt;/span&gt;&lt;span class=&quot;mtight&quot;&gt;a&lt;/span&gt;&lt;span class=&quot;mtight&quot;&gt;x&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.15em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;, where &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.0315em;&quot;&gt;k&lt;/span&gt;&lt;span class=&quot;msupsub&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.1514em;&quot;&gt;&lt;span style=&quot;top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:2.7em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;sizing reset-size6 size3 mtight&quot;&gt;&lt;span class=&quot;mord mtight&quot;&gt;&lt;span class=&quot;mop mtight&quot;&gt;&lt;span class=&quot;mtight&quot;&gt;m&lt;/span&gt;&lt;span class=&quot;mtight&quot;&gt;a&lt;/span&gt;&lt;span class=&quot;mtight&quot;&gt;x&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.15em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; is the maximum rank of a nontrivial partial automorphism of an &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.4306em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;-vertex graph &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6833em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;. Continuing this line of work on specific graph classes, we prove a tight upper bound &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;d&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;≤&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6444em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;5&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; in the class of planar graphs and show that duals of IPR fullerenes can attain this extremal value: any fullerene whose dual achieves &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6944em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;d&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;=&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6444em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;5&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; must satisfy the &lt;em&gt;isolated pentagon rule&lt;/em&gt;, the smallest examples occurring on &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6444em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;90&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; and &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6444em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;92&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; vertices. Exhaustive computations up to &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.4306em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;=&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6444em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;120&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; indicate that almost all IPR fullerenes are asymmetric with depth &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6444em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;4&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;, and those that fail to attain the maximum exhibit hidden, almost-global symmetries broken only locally. We extend the bound to surfaces of higher genus, obtaining &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;d&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;≤&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.7278em;vertical-align:-0.0833em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;5&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;+&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1.04em;vertical-align:-0.23em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord sqrt&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.81em;&quot;&gt;&lt;span class=&quot;svg-align&quot; style=&quot;top:-3em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:3em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot; style=&quot;padding-left:0.833em;&quot;&gt;&lt;span class=&quot;mord&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;+&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;48&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.0359em;&quot;&gt;g&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;top:-2.77em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:3em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;hide-tail&quot; style=&quot;min-width:0.853em;height:1.08em;&quot;&gt;&lt;svg xmlns=&quot;http://www.w3.org/2000/svg&quot; width=&quot;400em&quot; height=&quot;1.08em&quot; viewBox=&quot;0 0 400000 1080&quot; preserveAspectRatio=&quot;xMinYMin slice&quot;&gt;&lt;path d=&quot;M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0 -0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.23em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;. Paralleling Frucht’s gadget technique, we construct an explicit family &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;{&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;A&lt;/span&gt;&lt;span class=&quot;msupsub&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.3361em;&quot;&gt;&lt;span style=&quot;top:-2.55em;margin-left:0em;margin-right:0.05em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:2.7em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;sizing reset-size6 size3 mtight&quot;&gt;&lt;span class=&quot;mord mathnormal mtight&quot;&gt;h&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.15em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;&lt;span class=&quot;mclose&quot;&gt;}&lt;/span&gt;&lt;span class=&quot;msupsub&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.3361em;&quot;&gt;&lt;span style=&quot;top:-2.55em;margin-left:0em;margin-right:0.05em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:2.7em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;sizing reset-size6 size3 mtight&quot;&gt;&lt;span class=&quot;mord mtight&quot;&gt;&lt;span class=&quot;mord mathnormal mtight&quot;&gt;h&lt;/span&gt;&lt;span class=&quot;mrel mtight&quot;&gt;≥&lt;/span&gt;&lt;span class=&quot;mord mtight&quot;&gt;2&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.2452em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; by attaching columns of varying lengths of &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6944em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;h&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;-dimensional hypercubes to a central copy of &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.8778em;vertical-align:-0.1944em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;Q&lt;/span&gt;&lt;span class=&quot;msupsub&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.3361em;&quot;&gt;&lt;span style=&quot;top:-2.55em;margin-left:0em;margin-right:0.05em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:2.7em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;sizing reset-size6 size3 mtight&quot;&gt;&lt;span class=&quot;mord mathnormal mtight&quot;&gt;h&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.15em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;, and prove &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;d&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;A&lt;/span&gt;&lt;span class=&quot;msupsub&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.3361em;&quot;&gt;&lt;span style=&quot;top:-2.55em;margin-left:0em;margin-right:0.05em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:2.7em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;sizing reset-size6 size3 mtight&quot;&gt;&lt;span class=&quot;mord mathnormal mtight&quot;&gt;h&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.15em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;=&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;2&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;h&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;2&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; for &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.8304em;vertical-align:-0.136em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;h&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;≥&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6444em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;3&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;. Combined with a depth-monotonicity result for induced subgraphs, this realizes every positive integer as an asymmetric depth with increasingly high genus.&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2025). “Deeply Asymmetric Structures.” &lt;a href=&quot;https://dai.fmph.uniba.sk/w/Doctoral_Colloquia/en&quot; class=&quot;external external-link&quot;&gt;Doctoral Colloquia&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; at Comenius University, 8.12.2025 &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt; &lt;a href=&quot;./tags/complex&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/complex&quot;&gt;complex&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;What are symmetries? Symmetries are typically understood globally: an object is symmetric if it has nontrivial automorphisms—transformations preserving the whole structure. It is well-established that almost all graphs are asymmetric, possessing no “global” symmetries. However, global asymmetry does not imply a lack of structure. Every graph exhibits rich “local” symmetries, which we study using isomorphisms between induced subgraphs, known as partial automorphisms. How far can graphs be from having global symmetries? We investigate this question through the measure of asymmetric depth of graphs defined through the order of the domain of the largest non-trivial partial automorphism. We will report on our progress from previous years. Earlier, we established a new, tight upper bound for the asymmetric depth of any graph. We proved that any graph achieving this bound must be a strongly regular graph. We implemented a parallel algorithm on high-performing cluster Clara for checking asymmetric depth on a high-performance cluster. Using this algorithm, we identified an asymmetric conference graph on 37 vertices that attains this bound, thereby proving its tightness. Given that most real-world networks such as brain networks are sparse due to connection costs, we have begun extending this investigation to sparse graphs where we can improve the general upper bound. For planar graphs, we established a tight upper bound by finding duals of asymmetric fullerenes.&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2025). “Partial automorphisms and Asymmetric depth of graphs.” 12th PhD Summer School in Discrete Mathematics, Koper, Slovenia &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;While it is well-established that almost all graphs are asymmetric, possessing no nontrivial global automorphisms, all graphs contain non-trivial local symmetries which we study using isomorphisms between induced subgraphs, known as partial automorphisms. The set of all partial automorphisms, along with the operations of partial composition and partial inverse of partial maps, forms an inverse monoid, which is a rich and complex algebraic structure. However, it is hard to compute. In this talk, we are motivated by the study of partial automorphism inverse monoids of graphs initiated by [1]. We investigate the extent of these local symmetries through the measure of asymmetric depth of graphs defined through the rank of the largest non-trivial partial automorphism. In [2], we established a new, tight lower bound for the asymmetric depth of any simple graph &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.6833em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;Γ&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; on &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.4306em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; vertices. Any graph achieving this bound must be a strongly regular graph with parameters &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/2&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;5&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/4&lt;/span&gt;&lt;span class=&quot;mpunct&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.1667em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;n&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mbin&quot;&gt;−&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2222em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;/4&lt;/span&gt;&lt;span class=&quot;mclose&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; also known as conference graph. We implemented a parallel algorithm for checking asymmetric depth on a high-performance cluster. Using this algorithm, we identified an asymmetric conference graph on 37 vertices that meets this bound, thereby proving its tightness. We also showed that it is one of the smallest possible graphs to meet this bound by checking all asymmetric conference graphs up to 37 vertices.&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2025). “Graph isomorphism, asymmetric graphs and partial symmetries”, &lt;a href=&quot;https://dai.fmph.uniba.sk/w/Doctoral_Colloquia/en&quot; class=&quot;external external-link&quot;&gt;Doctoral Colloquia&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; at Comenius University in Bratislava &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J., Jajcayová, T. (2024). “Asymmetric Graphs and Partial Automorphisms.” In Abstracts, CSGT 2024, Ostrava: VŠB–TU Ostrava, pp. 28-29. &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Jajcayová, T., Pastorek, J. (2024). “Partial automorphism monoid of graphs and k-Weisfeiler-Lehman.” In &lt;a href=&quot;https://csd10.be/&quot; class=&quot;external external-link&quot;&gt;CSD 10&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;, Leuven: KU Leuven, p. 26. &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J., Jajcayová, T. (2024). “Partial automorphism monoid of graphs and Weisfeiler-Leman.” In &lt;a href=&quot;https://zona.fmph.uniba.sk/fileadmin/fmfi/studentska_vedecka_konferencia/zbierka2024/svk2024_zbornik.pdf#page=376&quot; class=&quot;external external-link&quot;&gt;Študentská vedecká konferencia FMFI UK&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;, Bratislava, p. 366. &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Cingel, V., Jajcayová, T., Pastorek, J. (2024). “Partial automorphisms and level of symmetry of asymmetric graphs.” In ITAT CADM 2024 &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2024). “Search for correspondences between operations on partial automorphisms and k-dimensional Weisfeiler-Leman algorithm.” At the &lt;a href=&quot;http://euler.doa.fmph.uniba.sk/Austria-Slovakia.html&quot; class=&quot;external external-link&quot;&gt;Constructions of Expanders and Extremal Graphs&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; workshop. &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2023). “Global Versus Local Symmetries.” MEi: CogSci Conference. &lt;a href=&quot;./publications/symmetries_extended_abstract_2023.pdf&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;publications/symmetries_extended_abstract_2023.pdf&quot;&gt;PDF&lt;/a&gt; &lt;a href=&quot;./tags/cogsci&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/cogsci&quot;&gt;cogsci&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;Symmetry has been a cornerstone of human thought and aesthetics since ancient times in various civilizations. While the ancient interpretation of symmetry encompassed the idea of equal arrangement and proportion, the modern understanding is limited to the set of transformations that leave the object invariant. We investigate the concept of partial (local) symmetry, which may be viewed as a sort of return to the original meaning of the term symmetry, stressing the importance of proportionality but capturing the current meaning of symmetry as well. Moreover, we investigate its significance in various disciplines, such as neuroaesthetics and mathematics. Furthermore, we argue that the concept of local (partial) symmetry, as opposed to global (total) symmetry, is more natural, more general, and better describes natural phenomena and symmetries in abstract structures.&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J. (2023). “Semantic Primitives in Word Embeddings.” MEi: CogSci Conference. &lt;a href=&quot;./publications/semprimitives.pdf&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;publications/semprimitives.pdf&quot;&gt;PDF&lt;/a&gt; · &lt;a href=&quot;./publications/2022-semester-project---poster.png&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;publications/2022-semester-project---poster.png&quot;&gt;Poster&lt;/a&gt; &lt;a href=&quot;./tags/cogsci&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/cogsci&quot;&gt;cogsci&lt;/a&gt; &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;Semantic primitives are the core concepts that possibly all humans share. They cannot be defined by any other concepts, for the chain of definitions ends in them. Finding such a set would provide us with a common communication “mother language”. We could use such a set to communicate ethical norms to less developed communities. The list of such primes is already stable, numbering 65 in total including words such as TRUE, GOOD, NOT, YOU, etc. Modern NLP models can capture the semantic similarity of words based on statistical co-occurrences of words. Such models create global embeddings, vectors for each word that occurs in the training where words that co-occur in similar contexts should occupy a similar place in the vector space. The vector spaces produced by these models are based on co-occurrence statistics, and the models do not explicitly encode the fundamental semantic properties associated with semantic primitives. Do the vectors corresponding to semantic primitives emerge near mathematically special regions in the vector spaces of NLP models, despite their lack of explicit encoding in those places? In other words, are the primes close to SVD singular vectors, PCA components, or K-Means cluster centers?&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Pastorek, J., Sarto-Jackson, I. (2023). “Unraveling the Hidden Influence of Ernst Mach on the Foundations of Cognitive Science - Interdisciplinary Approach.” Kognícia a umelý život 2023 Conference. &lt;a href=&quot;./publications/mach.pdf&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;publications/mach.pdf&quot;&gt;PDF&lt;/a&gt; · &lt;a href=&quot;./publications/2023-kuz---mach.png&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;publications/2023-kuz---mach.png&quot;&gt;Poster&lt;/a&gt; &lt;a href=&quot;./tags/cogsci&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/cogsci&quot;&gt;cogsci&lt;/a&gt; &lt;a href=&quot;./tags/complex&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/complex&quot;&gt;complex&lt;/a&gt; &lt;a href=&quot;./tags/ai&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/ai&quot;&gt;ai&lt;/a&gt;&lt;/p&gt;
  &lt;details class=&quot;abstract-inline&quot;&gt;
  &lt;summary&gt;Abstract&lt;/summary&gt;
&lt;p&gt;Existing narratives often overlook the significant impact of Ernst Mach and the Vienna Circle on the foundations of cognitive science. In this study, we delve into the underexplored influence of Mach’s theories on the emergence of cognitive science, employing a unique interdisciplinary approach that blends rigorous argumentation with cutting-edge computational methods in network science and natural language processing. Our findings reveal multiple, previously unrecognized pathways of influence from Mach to pivotal figures in cognitive science, thereby showcasing the efficacy of our combined approach in illuminating the intricate web of intellectual connections. This innovative method offers valuable insights into tracing the potential influences of key thinkers, addressing a longstanding challenge in the history of science arising from the ever-growing corpus of academic literature. To our knowledge, this is one of the first papers to use both citation networks and natural language processing for the investigations of the history of cognitive science.&lt;/p&gt;
  &lt;/details&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h3 id=&quot;software&quot;&gt;Software&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#software&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;AutoGraphForge&lt;/strong&gt; — automated conjecturing, refutation and Lean formalization for graph theory (&lt;a href=&quot;#papers-in-conference-proceedings&quot; class=&quot;internal internal-link alias&quot;&gt;ITAT 2026 paper&lt;/a&gt;) &lt;a href=&quot;./tags/aimath&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/aimath&quot;&gt;aimath&lt;/a&gt; &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Parallel asymmetric-depth checker&lt;/strong&gt; — computes asymmetric depth on the Clara high-performance cluster; used to identify the extremal conference graph on 37 vertices &lt;a href=&quot;./tags/graphs&quot; class=&quot;tag-link internal internal-link alias&quot; data-slug=&quot;tags/graphs&quot;&gt;graphs&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;Further repositories: &lt;a href=&quot;https://github.com/JanPastorek?tab=repositories&quot; class=&quot;external external-link&quot;&gt;github.com/JanPastorek&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt; ]]></description>
    <pubDate>Wed, 09 Sep 2026 15:39:27 GMT</pubDate>
  </item><item>
    <title>Prof. Brian Cox Emergence world tour</title>
    <link>https://janpastorek.com/posts/prof.-brian-cox-emergence-world-tour</link>
    <guid>https://janpastorek.com/posts/prof.-brian-cox-emergence-world-tour</guid>
    <description><![CDATA[ &lt;p&gt;I recently had a chance to attend Prof. Brian Cox new world tour &lt;em&gt;Emergence&lt;/em&gt; in Bratislava with my brother. It was an amazing experience to &lt;em&gt;feel&lt;/em&gt; the emergence of complex systems and the role of symmetries in the structure and evolution of our universe. We have heard about the beginning of scientific thinking and some of our best theories such as quantum field theory and inflation trying to explain some of the biggest mysteries of existence.&lt;br&gt;
&lt;img src=&quot;../images/20260909_214345.jpg&quot; alt=&quot;&quot; width=&quot;300&quot; height=&quot;auto&quot;&gt;&lt;img src=&quot;../images/20260909_194322.jpg&quot; alt=&quot;&quot; width=&quot;400&quot; height=&quot;auto&quot;&gt; &lt;img src=&quot;../images/20260909_212952.jpg&quot; alt=&quot;&quot; width=&quot;400&quot; height=&quot;auto&quot;&gt;&lt;/p&gt;
&lt;div class=&quot;post-share no-print&quot;&gt;
&lt;button type=&quot;button&quot; onclick=&quot;navigator.clipboard.writeText(location.origin+location.pathname);this.textContent=&amp;#x27;Link copied&amp;#x27;&quot;&gt;Copy permalink&lt;/button&gt;
&lt;button type=&quot;button&quot; onclick=&quot;window.open(&amp;#x27;https://bsky.app/intent/compose?text=&amp;#x27;+encodeURIComponent(document.title+&amp;#x27; &amp;#x27;+location.origin+location.pathname),&amp;#x27;_blank&amp;#x27;,&amp;#x27;noopener&amp;#x27;)&quot;&gt;Bluesky&lt;/button&gt;
&lt;button type=&quot;button&quot; onclick=&quot;window.open(&amp;#x27;https://x.com/intent/tweet?url=&amp;#x27;+encodeURIComponent(location.origin+location.pathname)+&amp;#x27;&amp;#x26;text=&amp;#x27;+encodeURIComponent(document.title),&amp;#x27;_blank&amp;#x27;,&amp;#x27;noopener&amp;#x27;)&quot;&gt;X&lt;/button&gt;
&lt;button type=&quot;button&quot; onclick=&quot;window.open(&amp;#x27;https://www.facebook.com/sharer/sharer.php?u=&amp;#x27;+encodeURIComponent(location.origin+location.pathname),&amp;#x27;_blank&amp;#x27;,&amp;#x27;noopener&amp;#x27;)&quot;&gt;Facebook&lt;/button&gt;
&lt;button type=&quot;button&quot; onclick=&quot;window.open(&amp;#x27;https://www.linkedin.com/sharing/share-offsite/?url=&amp;#x27;+encodeURIComponent(location.origin+location.pathname),&amp;#x27;_blank&amp;#x27;,&amp;#x27;noopener&amp;#x27;)&quot;&gt;LinkedIn&lt;/button&gt;
&lt;button type=&quot;button&quot; onclick=&quot;location.href=&amp;#x27;mailto:?subject=&amp;#x27;+encodeURIComponent(document.title)+&amp;#x27;&amp;#x26;body=&amp;#x27;+encodeURIComponent(location.origin+location.pathname)&quot;&gt;Email&lt;/button&gt;
&lt;a href=&quot;../index.xml&quot; class=&quot;internal internal-link alias&quot; data-slug=&quot;index.xml&quot;&gt;RSS&lt;/a&gt;
&lt;/div&gt; ]]></description>
    <pubDate>Wed, 09 Sep 2026 00:00:00 GMT</pubDate>
  </item><item>
    <title>Projects, Grants &amp; Awards</title>
    <link>https://janpastorek.com/projects-grants-awards</link>
    <guid>https://janpastorek.com/projects-grants-awards</guid>
    <description><![CDATA[ &lt;h2 id=&quot;projects&quot;&gt;Projects&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#projects&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2026&lt;/strong&gt; &lt;a href=&quot;http://itat.ics.upjs.sk/2026/&quot; class=&quot;external external-link&quot;&gt;ITAT CADM&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; — Computational Aspects of Large-Scale Problems in Discrete Mathematics workshop as part of ITAT conference — organizing committee of the workshop&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2025&lt;/strong&gt; &lt;a href=&quot;https://gems2025.savbb.sk/&quot; class=&quot;external external-link&quot;&gt;GEMS&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; — Graph Embeddings and Maps on Surfaces conference — assisting in organizing the conference&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2024&lt;/strong&gt; ENLIGHT — AI for everyone course — assisting with organization&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;awards&quot;&gt;Awards&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#awards&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2024&lt;/strong&gt; Laureate, Faculty Student Science Conference — &lt;em&gt;Partial automorphism monoid of graphs and Weisfeiler-Leman&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2021&lt;/strong&gt; Dean’s award for the best bachelor thesis — &lt;em&gt;Machine learning for nonlocal games&lt;/em&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;computing-allocations&quot;&gt;Computing allocations&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#computing-allocations&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2026-2027&lt;/strong&gt; &lt;em&gt;High-performance Computer-assisted Graph Theory&lt;/em&gt; — awarded compute time on the Perun national supercomputer (Slovakia)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2026&lt;/strong&gt; &lt;em&gt;High-performance Computer-assisted Algebraic Graph Theory&lt;/em&gt; — awarded compute time on the Perun national supercomputer (Slovakia)&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;grants--stipends&quot;&gt;Grants &amp;#x26; Stipends&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#grants--stipends&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2026&lt;/strong&gt; Comenius University grant, &lt;em&gt;Asymmetric depth of graphs of given genus&lt;/em&gt; (GUK2026), No. UK/1020/2026&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2025&lt;/strong&gt; Comenius University grant, &lt;em&gt;Constructions for conjectures regarding asymmetric depth of graphs&lt;/em&gt; (GUK2025), No. UK/1078/2025&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2022–2024&lt;/strong&gt; Comenius Student Stipend program for excellent students&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2019–2022&lt;/strong&gt; USSteel Košice University Stipend program&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;h2 id=&quot;research-project-participation&quot;&gt;Research project participation&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#research-project-participation&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;p&gt;Funded research projects I have worked on as a team member; principal investigators named.&lt;/p&gt;
&lt;div class=&quot;cv-list&quot;&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;2024–2028&lt;/strong&gt; &lt;em&gt;Exceptional Structures in Discrete Mathematics: Properties, Constructions and Classifications&lt;/em&gt; — APVV-23-0076; PI prof. RNDr. Róbert Jajcay, DrSc.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2024–2026&lt;/strong&gt; &lt;em&gt;Constructions of Expanders and Extremal Graphs&lt;/em&gt; — Austria–Slovakia bilateral collaboration, APVV SK-AT-23-0019 and OeAD WTZ SK 14/2024; PI doc. RNDr. Tatiana Jajcayová, prof. RNDr. Róbert Jajcay, DrSc., PhD, Prof. Goulnara Arzhantseva, PhD&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;2023–2026&lt;/strong&gt; &lt;em&gt;Algebraic Methods in Extremal Graph Theory&lt;/em&gt; — VEGA 1/0437/23; PI prof. R. Jajcay, PhD.&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt; ]]></description>
    <pubDate>Tue, 08 Sep 2026 14:01:10 GMT</pubDate>
  </item><item>
    <title>Outreach</title>
    <link>https://janpastorek.com/outreach</link>
    <guid>https://janpastorek.com/outreach</guid>
    <description><![CDATA[ &lt;h4 id=&quot;podcast&quot;&gt;Podcast&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#podcast&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;p&gt;I occasionally appear on science and philosophy podcast &lt;a href=&quot;https://kvantumidei.podbean.com/&quot; class=&quot;external external-link&quot;&gt;&lt;img src=&quot;./images/pasted-image-20260903154322.png&quot; alt=&quot;&quot; width=&quot;50&quot; height=&quot;auto&quot;&gt; Kvantum Ideí (Quantum of Ideas)&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; — for example on &lt;a href=&quot;https://kvantumidei.podbean.com/e/kvantove-paralelne-svety/&quot; class=&quot;external external-link&quot;&gt;quantum parallel worlds&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; (in Slovak). The podcast has approx. 3000 active listeners.&lt;/p&gt; ]]></description>
    <pubDate>Tue, 08 Sep 2026 12:06:27 GMT</pubDate>
  </item><item>
    <title>Teach &amp; Supervise</title>
    <link>https://janpastorek.com/teaching</link>
    <guid>https://janpastorek.com/teaching</guid>
    <description><![CDATA[ &lt;h2 id=&quot;extracurricular&quot;&gt;Extracurricular&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#extracurricular&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;h4 id=&quot;online-course&quot;&gt;Online course&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#online-course&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;p&gt;When I finished my masters, I released a course &lt;a href=&quot;https://www.udemy.com/course/2020-intro-to-agent-based-modeling-simulation-ai-in-netlogo/?srsltid=AfmBOorILWPceaCZXWz1z6F6D8o08xXylkkzo7B0Jmn9mmrpjPWconKA&quot; class=&quot;external external-link&quot;&gt;Introduction to Agent-Based Modeling and Simulation&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/p&gt;
&lt;h4 id=&quot;occasional-teaching&quot;&gt;Occasional teaching&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#occasional-teaching&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;p&gt;Oxbridge style tutorials at &lt;a href=&quot;https://studentskaagora.sk/&quot; class=&quot;external external-link&quot;&gt;Študentská Agora&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/p&gt;
&lt;h2 id=&quot;university&quot;&gt;University&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#university&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h2&gt;
&lt;h3 id=&quot;tutorials--exercises&quot;&gt;Tutorials / exercises&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#tutorials--exercises&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;p&gt;From time to time I also gave a lecture in some of these courses.&lt;/p&gt;
&lt;h4 id=&quot;20262027&quot;&gt;2026/2027&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#20262027&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Winter semester:
&lt;ul&gt;
&lt;li&gt;1-AIN-152-22 &lt;a href=&quot;https://github.com/JanPastorek/1-AIN-152-22-LinearAlgebra&quot; class=&quot;external external-link&quot;&gt;Linear Algebra&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;1-AIN-413 &lt;a href=&quot;https://moodle.uniba.sk/enrol/index.php?id=2833&quot; class=&quot;external external-link&quot;&gt;Graphs, Graph Algorithms and Optimization&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;  | &lt;a href=&quot;https://github.com/JanPastorek/1-AIN-413-22-Graphs&quot; class=&quot;external external-link&quot;&gt;GIT&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;details&gt;
&lt;summary&gt;Earlier semesters (2023–2026)&lt;/summary&gt;
&lt;h4 id=&quot;20252026&quot;&gt;2025/2026&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#20252026&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Winter semester:
&lt;ul&gt;
&lt;li&gt;1-AIN-152-22 &lt;a href=&quot;https://github.com/JanPastorek/1-AIN-152-22-LinearAlgebra&quot; class=&quot;external external-link&quot;&gt;Linear Algebra&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;1-AIN-413 &lt;a href=&quot;https://moodle.uniba.sk/enrol/index.php?id=2833&quot; class=&quot;external external-link&quot;&gt;Graphs, Graph Algorithms and Optimization&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;  | &lt;a href=&quot;https://github.com/JanPastorek/1-AIN-413-22-Graphs&quot; class=&quot;external external-link&quot;&gt;GIT&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;Summer semester:
&lt;ul&gt;
&lt;li&gt;1-AIN-160 &lt;a href=&quot;https://dai.fmph.uniba.sk/w?title=Discrete_Mathematics_2/en&amp;#x26;setlang=en&quot; class=&quot;external external-link&quot;&gt;Discrete Mathematics (2)&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;2-AIN-205: &lt;a href=&quot;http://compbio.fmph.uniba.sk/vyuka/artp&quot; class=&quot;external external-link&quot;&gt;Algorithmic Solution of Hard Problems&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h4 id=&quot;20242025&quot;&gt;2024/2025&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#20242025&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Winter semester:
&lt;ul&gt;
&lt;li&gt;1-AIN-121 &lt;a href=&quot;https://dai.fmph.uniba.sk/courses/dmat/2324zs/&quot; class=&quot;external external-link&quot;&gt;Discrete Mathematics (1)&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;1-AIN-413 &lt;a href=&quot;https://moodle.uniba.sk/enrol/index.php?id=2833&quot; class=&quot;external external-link&quot;&gt;Graphs, Graph Algorithms and Optimization&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;  | &lt;a href=&quot;https://github.com/JanPastorek/1-AIN-413-22-Graphs&quot; class=&quot;external external-link&quot;&gt;GIT&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;Summer semester:
&lt;ul&gt;
&lt;li&gt;1-AIN-160 &lt;a href=&quot;https://dai.fmph.uniba.sk/w?title=Discrete_Mathematics_2/en&amp;#x26;setlang=en&quot; class=&quot;external external-link&quot;&gt;Discrete Mathematics (2)&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;2-AIN-205: &lt;a href=&quot;http://compbio.fmph.uniba.sk/vyuka/artp&quot; class=&quot;external external-link&quot;&gt;Algorithmic Solution of Hard Problems&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h4 id=&quot;20232024&quot;&gt;2023/2024&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#20232024&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Winter semester:
&lt;ul&gt;
&lt;li&gt;1-AIN-121 &lt;a href=&quot;https://dai.fmph.uniba.sk/courses/ICS/?&quot; class=&quot;external external-link&quot;&gt;Introduction to Cognitive Science&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;1-AIN-413 &lt;a href=&quot;https://moodle.uniba.sk/enrol/index.php?id=2833&quot; class=&quot;external external-link&quot;&gt;Graphs, Graph Algorithms and Optimization&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;  | &lt;a href=&quot;https://github.com/JanPastorek/1-AIN-413-22-Graphs&quot; class=&quot;external external-link&quot;&gt;GIT&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;Summer semester:
&lt;ul&gt;
&lt;li&gt;1-AIN-160 &lt;a href=&quot;https://dai.fmph.uniba.sk/w?title=Discrete_Mathematics_2/en&amp;#x26;setlang=en&quot; class=&quot;external external-link&quot;&gt;Discrete Mathematics (2)&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;1-AIN-412/22 &lt;a href=&quot;https://dai.fmph.uniba.sk/w?title=Course:Logic_for_CS/en&amp;#x26;setlang=en&quot; class=&quot;external external-link&quot;&gt;Logic for computer science&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/details&gt;
&lt;h3 id=&quot;theses&quot;&gt;Theses&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#theses&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;h4 id=&quot;supervisor&quot;&gt;Supervisor&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#supervisor&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;h5 id=&quot;bachelor-students&quot;&gt;Bachelor students&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#bachelor-students&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h5&gt;
&lt;ul&gt;
&lt;li&gt;Vladyslav Peresada, &lt;em&gt;Asymmetric Graphs&lt;/em&gt;, 2025&lt;/li&gt;
&lt;li&gt;Samuel Varchol, &lt;em&gt;Graph neural networks and extensibility of partial graph automorphisms&lt;/em&gt;, 2026&lt;/li&gt;
&lt;li&gt;Vladimír Jančár, &lt;em&gt;Machine learning for generation of graphs of given degree and girth&lt;/em&gt;, 2026, &lt;strong&gt;won dean’s award for the best bachelor thesis in informatics&lt;/strong&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;h5 id=&quot;master-students&quot;&gt;Master students&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#master-students&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h5&gt;
&lt;ul&gt;
&lt;li&gt;Marek Danihel, &lt;em&gt;Graphs identified by Weisfeiler-Leman&lt;/em&gt; algorithm, 2027&lt;/li&gt;
&lt;/ul&gt;
&lt;h4 id=&quot;opponent&quot;&gt;Opponent&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#opponent&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Matúš Nemčík, &lt;em&gt;Path covering number of cubic graphs&lt;/em&gt;, 2026&lt;/li&gt;
&lt;li&gt;Erik Kolesár, &lt;em&gt;Adaptive Temporal Summarization Benchmark for Robust Evaluation of Pre-trained Large Language Models&lt;/em&gt;, 2026&lt;/li&gt;
&lt;li&gt;Timotea Chalupová, &lt;em&gt;Token graphs&lt;/em&gt;, 2024&lt;/li&gt;
&lt;/ul&gt;
&lt;h3 id=&quot;led-projects&quot;&gt;Led projects&lt;a role=&quot;anchor&quot; aria-hidden tabindex=&quot;-1&quot; data-no-popover href=&quot;#led-projects&quot; class=&quot;internal internal-link&quot;&gt;&lt;svg width=&quot;18&quot; height=&quot;18&quot; viewBox=&quot;0 0 24 24&quot; fill=&quot;none&quot; stroke=&quot;currentColor&quot; stroke-width=&quot;2&quot; stroke-linecap=&quot;round&quot; stroke-linejoin=&quot;round&quot;&gt;&lt;path d=&quot;M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71&quot;&gt;&lt;/path&gt;&lt;path d=&quot;M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href=&quot;https://github.com/TIS2024-FMFI/kolmogorov&quot; class=&quot;external external-link&quot;&gt;Kolmogorov&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; — Metamath graph exploration tool, built by a student team (4 students)&lt;/li&gt;
&lt;li&gt;&lt;a href=&quot;https://app.dekk.sk/&quot; class=&quot;external external-link&quot;&gt;DEKK&lt;svg aria-hidden=&quot;true&quot; class=&quot;external-icon&quot; style=&quot;max-width:0.8em;max-height:0.8em&quot; viewBox=&quot;0 0 512 512&quot;&gt;&lt;path d=&quot;M320 0H288V64h32 82.7L201.4 265.4 178.7 288 224 333.3l22.6-22.6L448 109.3V192v32h64V192 32 0H480 320zM32 32H0V64 480v32H32 456h32V480 352 320H424v32 96H64V96h96 32V32H160 32z&quot;&gt;&lt;/path&gt;&lt;/svg&gt;&lt;/a&gt; — Slovakia in Data - analytical tool for social science data - the purpose of the project was to map and understand social cohesion, core values, institutional trust, and polarization across Slovakia.&lt;/li&gt;
&lt;/ul&gt; ]]></description>
    <pubDate>Tue, 08 Sep 2026 12:06:27 GMT</pubDate>
  </item>
    </channel>
  </rss>