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<h1 class="title">Talks</h1>
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<section id="section" class="level4">
<h4 class="anchored" data-anchor-id="section">2026</h4>
<ul>
<li><p><em>“Adjoint degrees and scissors congruence for polytopes”</em> <br>from my talk at the Algebra Colloquium (April 14) at the Charles University Prague (<a href="pdf/slides/2026_prague.pdf">slides</a>)</p></li>
<li><p><em>“Polytope Rigidity – Generic, Concrete and Universal”</em> <br>from my talk at the Applied Algebra Seminar (February 25) at TU Braunschweig (<a href="pdf/slides/2026_braunschweig.pdf">slides</a>)</p></li>
<li><p><em>“Adjoint degrees and scissors congruence for polytopes”</em> <br>from my talk at the Obserseminar Kombinatorik (February 10) at the Ruhr-University Bochum (<a href="pdf/slides/2026_bochum.pdf">slides</a>)</p></li>
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<h4 class="anchored" data-anchor-id="section-1">2025</h4>
<ul>
<li><em>“Two-level polytopes and the conjectures of Mahler and Kalai”</em> <br>from my talk (November 14) at the <a href="https://www.kolkom.de/"><em>42th Colloquium on Combinatorics</em></a> in Bielefeld (<a href="pdf/slides/2025_kolkom.pdf">slides</a>)</li>
<li><em>“Adjoint degrees and scissors congruence for polytopes”</em>
<ul>
<li>from my seminar talk (July 1) at the Goether University Frankfurt (<a href="pdf/slides/2025_frankfurt.pdf">slides</a>)</li>
<li>from my seminar talk (June 10) at the University of Kassel (<a href="pdf/slides/2025_kassel.pdf">slides</a>)</li>
<li>from my seminar talk (May 14) at the <a href="https://tu-freiberg.de/fakultaet1/institute/institut-fuer-diskrete-mathematik-und-algebra">Groups of Discrete Mathematics and Algebra</a> at Freiberg (<a href="pdf/slides/2025_freiberg.pdf">slides</a>)</li>
<li>from my talk (April 25) at the <a href="https://www.mis.mpg.de/events/series/seminar-on-nonlinear-algebra">Nonlinear Algebra seminar</a> at MPI Leipzig (<a href="pdf/slides/2025_04_Leipzig.pdf">slides</a>)</li>
</ul></li>
<li><em>“Progress on the stress-flex conjecture for coned polytope frameworks”</em> <br>from my seminar talk (March 14) at ICERM during the special semester on <a href="https://icerm.brown.edu/program/semester_program/sp-s25">“Geometry of Materials, Packings and Rigid Frameworks”</a> (<a href="pdf/slides/2025_ICERM.pdf">slides</a>)</li>
<li><em>“The structure of 2-level polytopes”</em> <br>from my seminar talk (January 22) at the group “Algorithmic Mathematics” at BTU Cottbus-Senftenberg (<a href="pdf/slides/2025_cottbus.pdf">slides</a>)</li>
<li><em>“Rigidity and Reconstruction of Convex Polytopes – an Application of Wachspress Geometry”</em> <br> from by talk (January 8) at the Geometry Seminar at TU Vienna (<a href="pdf/slides/2025_vienna.pdf">slides</a>)</li>
</ul>
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<section id="section-2" class="level4">
<h4 class="anchored" data-anchor-id="section-2">2024</h4>
<ul>
<li><em>“Rigidity and Reconstruction of Convex Polytopes – an Application of Wachspress Geometry”</em> <br> from my <a href="https://mathplus.de/research-2/spotlight/">MATH+ Spotlight Talk</a> (<a href="pdf/slides/2024_berlin_spotlight.pdf">slides</a>)</li>
<li><em>“The Stress-Flex Conjecture – A riddle of rigidity in coned polytopes”</em> <br> from my talk at the Kick-Off Workshop of the SPP 2458 “Combinatorial Synergies” (<a href="pdf/slides/2024_kick_off_Osnabrueck.pdf">slides</a>)</li>
<li><em>“Wachspress Coordinates - a bridge between algebra, geometry and combinatorics”</em> <br> from my talk at the Combinatorial Coworkspace in Kleinwalsertal (<a href="pdf/slides/2024_cocow.pdf">slides</a>)</li>
<li><em>“Rigidity of Polyhedral Spheres beyond Triangulations”</em> <br> from my talk at the Landscapes of Rigidity Workshop during the RICAM Special Semester on Rigidity and Flexibility in Linz (<a href="pdf/slides/2024_landscapes_of_rigidity_Linz.pdf">slides</a>)</li>
<li><em>“Wachspress Objects and the Reconstruction of Convex Polytopes from Partial Data”</em> <br> from my seminar talk at KTH Stockholm (<a href="pdf/slides/2024_kth.pdf">slides</a>)</li>
<li><em>“Kalai’s 3<sup>d</sup> Conjecture for Coordinate Symmetric Polytopes”</em> <br> from my talk at the Workshop on Geometric and Algebraic Combinatorics in Santander (<a href="pdf/slides/2024_gac_santander.pdf">slides</a>)</li>
</ul>
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<section id="section-3" class="level4">
<h4 class="anchored" data-anchor-id="section-3">2023</h4>
<p><span class="comingsoon">coming soon</span></p>
</section>
<section id="section-4" class="level4">
<h4 class="anchored" data-anchor-id="section-4">2022</h4>
<p><span class="comingsoon">coming soon</span></p>
</section>
<section id="older" class="level4">
<h4 class="anchored" data-anchor-id="older">Older</h4>
<p>For slides and further information on older talks you can visit my <a href="https://warwick.ac.uk/fac/sci/maths/people/staff/winter/">previous website</a> at Warwick.</p>


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        // This is a special case and we should probably do some content thinning / targeting
        fetch(url)
        .then(res => res.text())
        .then(html => {
          const parser = new DOMParser();
          const htmlDoc = parser.parseFromString(html, "text/html");
          const note = htmlDoc.querySelector('main.content');
          if (note !== null) {
            // This should only happen for chapter cross references
            // (since there is no id in the URL)
            // remove the first header
            if (note.children.length > 0 && note.children[0].tagName === "HEADER") {
              note.children[0].remove();
            }
            const html = processXRef(null, note);
            instance.setContent(html);
          }
        }).finally(() => {
          instance.enable();
          instance.show();
        });
      }
    }, function(instance) {
    });
  }
      let selectedAnnoteEl;
      const selectorForAnnotation = ( cell, annotation) => {
        let cellAttr = 'data-code-cell="' + cell + '"';
        let lineAttr = 'data-code-annotation="' +  annotation + '"';
        const selector = 'span[' + cellAttr + '][' + lineAttr + ']';
        return selector;
      }
      const selectCodeLines = (annoteEl) => {
        const doc = window.document;
        const targetCell = annoteEl.getAttribute("data-target-cell");
        const targetAnnotation = annoteEl.getAttribute("data-target-annotation");
        const annoteSpan = window.document.querySelector(selectorForAnnotation(targetCell, targetAnnotation));
        const lines = annoteSpan.getAttribute("data-code-lines").split(",");
        const lineIds = lines.map((line) => {
          return targetCell + "-" + line;
        })
        let top = null;
        let height = null;
        let parent = null;
        if (lineIds.length > 0) {
            //compute the position of the single el (top and bottom and make a div)
            const el = window.document.getElementById(lineIds[0]);
            top = el.offsetTop;
            height = el.offsetHeight;
            parent = el.parentElement.parentElement;
          if (lineIds.length > 1) {
            const lastEl = window.document.getElementById(lineIds[lineIds.length - 1]);
            const bottom = lastEl.offsetTop + lastEl.offsetHeight;
            height = bottom - top;
          }
          if (top !== null && height !== null && parent !== null) {
            // cook up a div (if necessary) and position it
            let div = window.document.getElementById("code-annotation-line-highlight");
            if (div === null) {
              div = window.document.createElement("div");
              div.setAttribute("id", "code-annotation-line-highlight");
              div.style.position = 'absolute';
              parent.appendChild(div);
            }
            div.style.top = top - 2 + "px";
            div.style.height = height + 4 + "px";
            div.style.left = 0;
            let gutterDiv = window.document.getElementById("code-annotation-line-highlight-gutter");
            if (gutterDiv === null) {
              gutterDiv = window.document.createElement("div");
              gutterDiv.setAttribute("id", "code-annotation-line-highlight-gutter");
              gutterDiv.style.position = 'absolute';
              const codeCell = window.document.getElementById(targetCell);
              const gutter = codeCell.querySelector('.code-annotation-gutter');
              gutter.appendChild(gutterDiv);
            }
            gutterDiv.style.top = top - 2 + "px";
            gutterDiv.style.height = height + 4 + "px";
          }
          selectedAnnoteEl = annoteEl;
        }
      };
      const unselectCodeLines = () => {
        const elementsIds = ["code-annotation-line-highlight", "code-annotation-line-highlight-gutter"];
        elementsIds.forEach((elId) => {
          const div = window.document.getElementById(elId);
          if (div) {
            div.remove();
          }
        });
        selectedAnnoteEl = undefined;
      };
        // Handle positioning of the toggle
    window.addEventListener(
      "resize",
      throttle(() => {
        elRect = undefined;
        if (selectedAnnoteEl) {
          selectCodeLines(selectedAnnoteEl);
        }
      }, 10)
    );
    function throttle(fn, ms) {
    let throttle = false;
    let timer;
      return (...args) => {
        if(!throttle) { // first call gets through
            fn.apply(this, args);
            throttle = true;
        } else { // all the others get throttled
            if(timer) clearTimeout(timer); // cancel #2
            timer = setTimeout(() => {
              fn.apply(this, args);
              timer = throttle = false;
            }, ms);
        }
      };
    }
      // Attach click handler to the DT
      const annoteDls = window.document.querySelectorAll('dt[data-target-cell]');
      for (const annoteDlNode of annoteDls) {
        annoteDlNode.addEventListener('click', (event) => {
          const clickedEl = event.target;
          if (clickedEl !== selectedAnnoteEl) {
            unselectCodeLines();
            const activeEl = window.document.querySelector('dt[data-target-cell].code-annotation-active');
            if (activeEl) {
              activeEl.classList.remove('code-annotation-active');
            }
            selectCodeLines(clickedEl);
            clickedEl.classList.add('code-annotation-active');
          } else {
            // Unselect the line
            unselectCodeLines();
            clickedEl.classList.remove('code-annotation-active');
          }
        });
      }
  const findCites = (el) => {
    const parentEl = el.parentElement;
    if (parentEl) {
      const cites = parentEl.dataset.cites;
      if (cites) {
        return {
          el,
          cites: cites.split(' ')
        };
      } else {
        return findCites(el.parentElement)
      }
    } else {
      return undefined;
    }
  };
  var bibliorefs = window.document.querySelectorAll('a[role="doc-biblioref"]');
  for (var i=0; i<bibliorefs.length; i++) {
    const ref = bibliorefs[i];
    const citeInfo = findCites(ref);
    if (citeInfo) {
      tippyHover(citeInfo.el, function() {
        var popup = window.document.createElement('div');
        citeInfo.cites.forEach(function(cite) {
          var citeDiv = window.document.createElement('div');
          citeDiv.classList.add('hanging-indent');
          citeDiv.classList.add('csl-entry');
          var biblioDiv = window.document.getElementById('ref-' + cite);
          if (biblioDiv) {
            citeDiv.innerHTML = biblioDiv.innerHTML;
          }
          popup.appendChild(citeDiv);
        });
        return popup.innerHTML;
      });
    }
  }
});
</script>
</div> <!-- /content -->


</body></html>