Dr. Sergei Chmutov.
Talks and presentations.

2017
  • On the extended bracket polynomial for virtual knots and links,
    A talk at the conference Knots in Washington XLIV.          Abstract.          Slides.
    George Washington University, Washington DC, April 30, 2017.


    2016
  • Random gluing polygons,
    A talk at the Workshop Stochastic Topology and Thermodynamic Limits.          Abstract.          Slides.          Video.
    Institute for Computational and Experimental Research in Mathematics (ICERM), October 19, 2016.

  • Jones polynomial for virtual knots.
    Talk at the Topology seminar.                   Notes.
    Université Montpellier (France), May 26, 2014.

  • Ribbon graphs in combinatorics and topology.
    Minicourse at the Université Lyon 1 (France).
             Lecture 1: Graphs and their polynomials. May 12, 2016.          Notes.
             Lecture 2: Jones polynomial and Thistlethwaite's theorem. May 19, 2016.          Notes.
             Lecture 3: Ribbon graphs and virtual knots. June 2, 2016.          Notes.
             Lecture 4: Delta-matroids and ribbon graphs. June 2, 2016.          Notes.

  • Higher dimensional graph theory,
    Colloquium talk at Dartmouth College.          Abstract.          Slides.
    Dartmouth College, Hanover, NH, March 3, 2016.

  • Ribbon graphs and Delta-matroids,
    Talk at the Combinatorics seminar.          Abstract.          Notes.
    OSU, Columbus, OH, January 21, 2016.


    2015
  • Undergraduate research on Knots and Graphs,
    A lecture at the Sampling Advanced Mathematics for Minority Students, SAMMS-2015.          Slides.
    OSU, Columbus, July 31, 2015.

  • Krushkal polynomial of graphs on surfaces,
    A talk at the Workshop on the Tutte Polynomial.          Abstract.          Slides.
    Royal Holloway University of London (UK), July 12, 2015.

  • In memory of Sergei Duzhin (1956---2015),
    Colloquium and a talk at the conference Knots in Washington XL.          Abstract.          Slides.
    George Washington University, Washington DC, March 10, 2015.


    2014
  • Partial duality of hypermaps.,
    Talk at the conference Conference Legacy of Vladimir Arnold.           Abstract.           Slides.           Video.
    Fields Institute,Toronto(Canada), November 25, 2014.

  • Partial duality of hypermaps.
    Talk at the seminar Théorie des nombres, combinatoire, structures discrètes .          Abstract.          Notes.
    Université Lyon 1 (France), May 27, 2014.


    2012
  • Thistlethwaite's theorem,
    Talk at the seminar Combinatorics of Vassiliev invariants.           Notes.
    National Research University, Higher School of Economics, Moscow (Russia), December 20, 2012.

  • Graphs on surfaces via planar graphs,
    Talk at the conference ANALYSIS and SINGULARITIES.           Abstract.           Notes.           Video.
    Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow (Russia), December 17, 2012.

  • Beraha numbers and graph polynomials.
    Talk at Math Department seminar.          Abstract.
    Royal Holloway University of London (UK), November 7, 2012.

  • Quantum mathematics.
    Talk at the Radical Pi math Club.          Poster.          Notes.
    OSU, Columbus, OH, October 10, 2012.

  • Higher dimensional Tutte polynomial.
    Talk at the Geometry seminar.          Abstract.          Notes.
    Università di Pisa (Italy), May 16, 2012.

  • Beraha numbers, Tutte polynomial and its topological generalization.
    Talk at the seminar Théorie des nombres, combinatoire, structures discrètes .          Abstract.          Notes.
    Université Lyon 1 (France), April 24, 2012.

  • Evaluations of the Tutte-Krushkal-Renardy polynomial for cell complexes.
    Talk at the AMS sectional meeting #1079.          Abstract.          Slides.
    Tampa, FL, March 10, 2012.

  • Combinatorics of knots.
    Two lectures Invitation to Research.          Notes.
    OSU, Columbus, OH, February 15 and 22, 2012.


    2011
  • Combinatorics of virtual links,
    Talk at the seminar Theory of Knots.          Abstract.          Notes.
    University of Geneva (Switzerland), May 19, 2011.

  • Goussarov's theorem,
    Talk at the seminar Combinatorics of Vassiliev invariants.   (in Russian)          Abstract.          Notes.
    National Research University, Higher School of Economics, Moscow (Russia), April 4, 2011.

  • Combinatorics and topology of graphs on surfaces,
    Colloquium.          Abstract.          Notes.
    Indiana University - Purdue University Indianapolis, Indianapolis (IN), March 4, 2011.

  • Physics and mathematics of knots,
    Talk at the Ohio Wesleyan University.          Abstract.          Slides.
    OWU, Delaware (OH), March 1, 2011.


    2010
  • Two approaches to virtual Thistlethwaite's theorem,
    Talk at the conference Knots in Washington XXXI.          Abstract.          Slides.
    George Washington University, Washington DC, December 3, 2010.

  • Polynomials of graphs on surfaces,
    Talk at the Topology seminar.          Abstract.          Notes.
    OSU, Columbus, OH, November 30, 2010.

  • Partial duality of graphs on surfaces,
    Talk at the AMS sectional meeting #1062.          Abstract.          Slides.
    Syracuse, NY, October 3, 2010.

  • Legendrian and transverse knots and their invariants,
    Colloquium and a lecture at the conference KNOTS IN CHICAGO.          Abstract.          Pictures.
    University of Illinois at Chicago (IL), September 10, 2010.          Notes.          Movie by Francesca Aicardi.

  • Pell's Equation,
    Talk at the Mobile Math Circle.          Abstract.          Notes.
    University of South Alabama, Mobile (AL), April 19, 2010.

  • The matrix-tree theorem in knot theory,
    Talk at the Topology seminar.          Abstract.          Notes.
    University of South Alabama, Mobile (AL), April 16, 2010.

  • The Tutte polynomial, its applications and generalizations,
    Colloquium.          Abstract.          Slides.
    University of South Alabama, Mobile (AL), April 15, 2010.

  • Virtual linking numbers and the Conway polynomial.,
    Talk at the American Mathematical Society (AMS) meeting #1058.          Abstract.          Slides.
    Macalester College, St.Paul (MN), April 11, 2010.

  • First coefficient of the Conway polynomial of virtual links.,
    Talk at the AMS Joint Mathematics Meetings #1056.          Abstract.          Slides.
    San Francisco, CA, January 14, 2010.


    2009
  • Linking numbers and the Conway polynomial of virtual links.,
    Talk at the conference Knots in Washington XXIX.          Abstract.          Notes.
    George Washington University, Washington DC, December 5, 2009.

  • Kamada-Miyazawa polynomial and ribbon graphs.,
    Talk at the AMS sectional meeting #1053.          Abstract.          Slides.
    Boca Raton, FL, October 31, 2009.

  • Tutte polynomial of graphs and Jones polynomial of virtual links.,          Notes 1.          Notes 2.
    Plenary talk at the Advanced School and Conference on Knot Theory and its Applications to Physics and Biology.
    ICTP, Trieste (Italy), May 27, 2009.

  • Vassiliev invariants.,          Lecture notes.
    Four lectures at the Advanced School and Conference on Knot Theory and its Applications to Physics and Biology.
    ICTP, Trieste (Italy), May 11 -- 29, 2009.


    2008
  • Combinatorics of Gauss diagrams and the HOMFLYPT polynomial,
    Talk at the workshop The Mathematics of Knots: Theory and Application.          Abstract.          Slides.
    Universität Heidelberg, Heidelberg (Germany), December 15, 2008.

  • Graphs on surfaces and vitual link theory,
    Colloquium.          Abstract.          Slides.
    University of Liverpool, Liverpool (England), December 12, 2008.

  • Graphs on surfaces and virtual knots,
    Talk at the Combinatorial theory seminar.          Abstract.          Slides.
    University of Oxford, Oxford (England), December 9, 2008.

  • Gauss diagram formulas for Vassiliev invariants,
    Talk at The singularities seminar.          Abstract.          Notes.
    University of Liverpool, Liverpool (England), December 8, 2008.

  • Gauss diagram formulas for the HOMFLYPT,
    Talk at the conference Geometry and topology in low dimension.          Abstract.          Notes.
    International Center for Mathematical Meetings (CIRM-Lumini), Marseille (France), November 17, 2008.

  • Combinatorics of the HOMFLY polynomial,
    Talk at the seminar Topics in Topology.          Abstract.          Notes.
    The Max-Planck-Institut für Mathematik, Bonn (Germany), November 3, 2008.

  • Polynomial invariants of graphs on surfaces and virtual knots,
    Talk at the Algebra-Topology Seminar.          Abstract.          Slides.
    ETH (Eidgenössische Technische Hochschule) Zürich (Switzerland), October 15, 2008.

  • Polyak-Viro formulas for coefficients of the Conway polynomialy,
    Talk at the seminar Topics in Topology.
    The Max-Planck-Institut für Mathematik, Bonn (Germany), May 14, 2008.

  • Polyak-Viro formulas for coefficients of the Conway polynomialy,
    Talk at the workshop Invariants in Low-Dimensional Topology.          Extended Abstract.
    Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach (Germany), May 5, 2008.

  • Polyak-Viro formulas for coefficients of the Conway polynomialy,
    Talk at the conference Knots in Washington XXVI.          Abstract.
    George Washington University, Washington (DC), April 20, 2008.

  • Graphs on surfaces and knot theory,
    Colloquium.          Abstract.          Slides.
    Cleveland State University, Cleveland (OH), April 11, 2008.

  • Duality of graphs on surfaces and Thistlethwaites type theorems,
    Talk at the American Mathematical Society (AMS) meeting #1037.          Abstract.          Slides.
    Louisiana State University, Baton Rouge (LA), March 29, 2008.

  • Closed surfaces in 3-space,
    Talk at the Columbus Math Circle.          Homework.
    Columbus State Community College, January 20, 2008.

  • Generalized duality for graphs on surfaces and its application to links,
    Talk at the Quantum topology seminar.          Abstract.          Slides.
    University of Illinois at Chicago, January 15, 2008.


    2007
  • Edge-reconstruction of the genus of one-vertex graphs on surfaces,
    Talk at the Combinatorics Seminar.          Abstract.          Notes.
    OSU Columbus, November 15, 2007.

  • Vassiliev invariants that do not distinguish mutant knots,
    Talk at the Low-Dimensional Algebraic Topology Seminar.          Abstract.          Slides.
    OSU Columbus, October 25, 2007.

  • Thistlethwaite's theorem for virtual links,
    Talk at the Topology seminar.          Abstract.          Slides.
    Indiana University, Bloomington (IN), October 11, 2007.

  • Thistlethwaite's theorem for virtual links,          Abstract.          Slides.
    Talk at the International conference Algebra and Geometry around Knots and Braids.
    Euler Institute, St. Petersburg (Russia), September 10, 2007.


    2005
  • Extreme parts of the Khovanov complex.
    Talk at the conference Knots in Washington XXI.          Notes.
    George Washington University, Washington DC, December 9, 2005.