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Research Talks By Year

Click on the year to get a list of research talks given in that year.
2019
  • ``Quasi-shuffle algebras and the Interpolated Product," Conference on Multiple Zeta Values and Related Topics, Kyushu University, Fukuoka, Japan, June 11, 2019 (slides available).

  • ``A Symmetry Result for Interpolated Multiple Zeta Values," USNA CATS Seminar, September 16, 2019 (slides available).

  • ``Multiple Zeta Values, Iterated Integrals, and Labeled Posets," Combinatorics Seminar, George Washington University, Washington, DC October 3, 2019 (slides available).
2018
  • ``Multiple Zeta Values and Alternating Multiple Zeta Values Arising from a Combinatorial Problem," Workshop on Periods and Regulators, Hausdorff Institite for Mathematics, Bonn, Germany, January 17, 2018 (slides available).

  • ``A Combinatorial Problem that Produces Interesting Numbers," USNA CATS Seminar, April 16, 2018 (slides available).

  • ``(Poly)logarithmic Integrals and Multiple Zeta Values," Number Theory Seminar, Max-Planck-Institut für Mathematik, Bonn, Germany, June 20, 2018 (slides available).
2017
  • ``The Strange and Varied Appearances of Extended Multiple Zeta Values, or, How a Pure Mathematician Sank so Low as to Write a Paper with Decimal Points," USNA Mathematics Colloquium, April 26, 2017 (slides available).

  • ``Quasi-Shuffle Algebras," CARMA (Combinatoire Algébrique, Résurgence, Moules et Applications), Centre International de Rencontres Mathématiques, Marseille, France, June 29, 2017 (slides available).

  • ``Hopf Algebra Structures on Quasi-shuffle Algebras and their Applications," Algebra and Number Theory Seminar, University of Rochester, Rochester, NY, November 29, 2017 (slides available).
2016
  • ``Odd Relatives of Multiple Zeta Values," USNA Mathematics Colloquium, April 6, 2016 (slides available).

  • ``Sum Theorems for Multiple Zeta Values, Old and New," Number Theory Seminar, Max-Planck-Institut für Mathematik, Bonn, Germany, June 29, 2016 (slides available).

  • ``Interpolated Multiple Zeta Values," USNA Mathematics Colloquium, October 12, 2016 (slides available).
2015
  • ``Labeled Posets, Iterated Integrals, and Nested Sums," AMS Special Session on Iterated Integrals and Applications, Georgetown University, Washington, DC, March 8, 2015 (slides available).

  • ``Sequential Zeta Values," Number Theory Seminar, Max-Planck-Institut für Mathematik, Bonn, Germany, June 17, 2015 (slides available).
2014
  • ``Sums of Generalized Harmonic Series (NOT Multiple Zeta Values)," USNA Basic Notions, February 6, 2104 (slides available).

  • ``An Odd Variant of Multiple Zeta Values," Number Theory Seminar, Max-Planck-Institut für Mathematik, Bonn, Germany, June 20, 2014 (slides available).

  • ``Combinatorics and Multiple Zeta Values," Discrete Mathematics Seminar, Simon Fraser University, Burnaby, Canada, July 8, 2014 (slides available).

  • ``Some Prehistory of Finite Multiple Zeta Values," Workshop on Multiple Zeta Values, Fukuoka, Japan, August 22, 2014 (slides available).

  • ``Multiple Zeta Values of Even Arguments (and Some Analogous Results)," USNA Mathematics Colloquium, November 12, 2014 (slides available).
2013
  • ``Multiple Zeta Values and Quasi-Symmetric Functions,'' Workshop on Grothendieck-Teichmüller Theory and Multiple Zeta Values, Isaac Newton Institute, Cambridge, United Kingdom, April 9, 2013 (slides available).
2012
  • ``Hopf Algebra Characters and Multiple Zeta Values,'' Number Theory Seminar, Max Planck Institut für Mathematik, Bonn, Germany, February 15, 2012.

  • ``Multiple Zeta Values: Old Conjectures and New Results,'' Topology Seminar, Johns Hopkins University, Baltimore, Maryland, April 9, 2012.

  • ``Quasi-Shuffle Algebras," Theorie Seminar, Deutches Elektronen-Synchrotron, Zeuthen, Germany, April 26, 2013 (slides available).

  • ``Hopf Algebra Structures on Quasi-Shuffle Algebras, RISC-DESY Workshop on Advanced Summation Techniques and Their Application to Quantum Field Theory, Research Institute for Symbolic Computation, Linz, Austria, May 7, 2012 (slides available).

  • ``Multiple Zeta Values of Even Arguments,'' Seminar arithmetische Geometrie und Zahlentheorie, Universität Hamburg, Hamburg, Germany, June 6, 2012 (slides available).
2011
  • ``Multiple Zeta Values and Quasi-Symmetric Functions: Theme and Variations," Séminaire du LaCIM, Université du Québec à Montréal, Montréal, Canada, March 18, 2011 (slides available).

  • ``Combinatorics and Algebra: Updown Categories and Hopf Algebras," Combinatorics Seminar, MIT, Cambridge, Mass., April 13, 2011 (slides available).
2010
  • ``Updown Categories as a Framework for Generalized Hook-Length Formulas, USNA Mathematics Colloquium, October 27, 2010 (slides available).
2009
  • ``Algebra of Multiple Zeta Values: Harmonic and Shuffle Products," invited talk, Workshop on Multiple Zeta Values, Feynman Diagrams, and Integrals, Tulane University, New Orleans, La., May 18, 2009 (slides available).

  • ``Algebra of Multiple Zeta Values: Ohno's and Kawashima's Theorems," invited talk, Workshop on Multiple Zeta Values, Feynman Diagrams, and Integrals, Tulane University, New Orleans, La., May 19, 2009 (slides available).

  • ``Interaction of Combinatorics and Algebra: Updown Categories and Hopf Algebras, USNA Mathematics Colloquium, October 21, 2009 (slides available).
2008
  • ``Hopf Algebras of Rooted Trees and the Hopf Algebras of Symmetric Functions," invited talk, International Conference on Vertex Operator Algebras and Related Areas, Illinois State University, Normal, IL, July 8, 2008 (slides available).

  • ``A Homomorphism on the Symmetric Functions Coming From Multiple Zeta Values and its Applications," USNA Mathematics Colloquium, October 8, 2008 (slides available).
2007
  • ``Hopf Algebras of Forests," USNA Mathematics Colloquium, February 14, 2007 (slides available).

  • ``An Algebra of Arithmetic Functions," USNA Mathematics Colloquium, September 19, 2007 (slides available).

  • ``Unrenormalizing the Positive Integers," combinatorics seminar, George Washington University, Washington, DC, November 7, 2007 (slides available).

  • ``Multiple Zeta Values: From Euler to the Present," MAA Sectional Meeting, Annapolis, Maryland, November 10, 2007 (slides available).
2006
  • ``Updown Categories and Algebraic Structures," AMS Special Session on Algebraic and Enumerative Combinatorics, Joint Mathematics Meetings, San Antonio, Texas, January 13, 2006 ( slides  available).
  • ``Quasi-Symmetric Functions and Applications," combinatorics seminar, George Washington University, Washington, DC, February 15, 2006 ( slides  available).
  • ``Some Hopf Algebras of Physical Interest," Renormalization and Galois Theories, Centre International de Rencontres Mathématiques, Marseille, France, March 13, 2006 (You can view either the   slides I prepared--stolen along with my computer on the Marseille Métro--or the   slides I actually used).
  • ``Some Generating Functions for Permutations," USNA Mathematics Colloquium, March 29, 2006 ( slides  available).
  • ``The Algebra of Multiple Zeta Values and Euler Sums," Mini-Workshop on Zeta Functions, Index, and Twisted K-Theory: Interactions with Physics," Mathematisches Forschungsinstitut Oberwolfach, Germany, May 2, 2006 ( slides  available).
  • ``Rooted Trees and Symmetric Functions," Mini-Workshop on Zeta Functions, Index, and Twisted K-Theory: Interactions with Physics," Mathematisches Forschungsinstitut Oberwolfach, Germany, May 4, 2006 ( slides  available).
  • ``Quasi-Symmetric Functions and Multiple Zeta Values," Hopf Algebras, Combinatorics, and Quantum Field Theory, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, September 28, 2006 ( slides  available).
  • ``Multiple Zeta Values and the Gamma Function," mathematics colloquium, Rutgers at Newark, Newark, New Jersey, October 17, 2006 ( slides  available).
  • ``The Connes-Kreimer Hopf Algebra as a Combinatorialist's Playground," Mathematical Physics Seminar, Boston University, Boston, Mass., November 9, 2006 ( slides  available).
2005
  • ``Updown Categories and their Generating Functions," USNA Mathematics Colloquium, February 10, 2005 (slides available).

  • ``Updown Categories," poster for the 2nd Joint International Meeting of the AMS, DMV, and ÖMG, Mainz, Germany, 16-19 June 2005 (pdf file available).
2004
  • ``Hopf Algebras and Multiple Harmonic Sums," invited talk for Loops and Legs in Quantum Field Theory, Zinnowitz, Germany, April 29, 2004 (slides available).

  • ``Higher Mathematics Meets High-Energy Physics," Sigma Xi Luncheon, USNA, September 23, 2004 (slides available).
2003
  • ``Algebraic Aspects of Multiple Zeta Values," invited talk for International Symposium on Zeta Functions, Topology and Quantum Physics, Kinki University, Osaka, Japan, March 4, 2003 ( slides  available).
  • ``Multiple Zeta Values: The View from Osaka," JAMI Conference on Primes and Knots, Johns Hopkins University, Baltimore, Maryland, March 16, 2003 ( slides  available).
  • ``Algebras Associated with Posets," seminar, Ruhr-Universität Bochum, Germany, July 25, 2003 ( slides  available).
  • ``Categories, Groups, and Posets," USNA Mathematics Colloquium, September 18, 2003.
  • ``Quasi-symmetric Functions and mod p Multiple Harmonic Series," Number Theory Seminar, Max-Planck-Instut für Mathematik, Bonn, Germany, November 5, 2003.
  • ``Topology and Algebra of Multiple Zeta Values," Oberseminar Topologie, Max-Planck-Instut für Mathematik, Bonn, Germany, December 8, 2003.
2002
  • ``Pruning Kreimer's Trees," USNA Mathematics Colloquium, January 16, 2002.

  • ``Pruning Kreimer's Trees," Special Session on Combinatorial Hopf Algebras, AMS Eastern Sectional Meeting, Montréal, Canada, May 4, 2002 (slides available).

  • ``Updown Posets," USNA Mathematics Colloquium, September 18, 2002 (slides available).
2001
  • ``Multiple Harmonic Sums and Quasi-Symmetric Functions," Special Session on Integrals and Series Throughout Mathematics, AMS Winter Meeting, New Orleans, La., January 11, 2001 (slides available).

  • ``Covering Spaces for Posets," USNA Mathematics Colloquium, September 12, 2001.

  • ``Multiple Zeta Values: Applications and Theory," topology seminar, Johns Hopkins University, November 5, 2001.
2000
  • ``Noncommutative Derivations and Multiple Zeta Values," Mid-Atlantic Algebra Conference 2000, Fairfax, Va., March 12, 2000 ( slides  available).
  • ``Multiple Zeta Values, Quasi-Symmetric Functions, and Mirror Symmetry," Lehigh Geometry/Topology Conference, Bethlehem, Pa., June 11, 2000 ( slides  available).
  • ``The Algebra of Multiple Zeta Values," Contributed talk for AMS Mathematical Challenges of the 21st Century Meeting, Los Angeles, Ca., August 7, 2000 ( slides  available).
  • ``Sum Fun with Sequences," USNA Mathematics Colloquium, September 6, 2000 ( slides  available).
  • ``Polynomials Defined by Derivatives and their Applications," University of Maine Undergraduate Colloquium, Orono, Me., November 9, 2000 ( slides  available).
  • ``An Overview of Recent Work on Multiple Zeta Values and Multiple Polylogarithmic Constants," University of Maine, Orono, Me., November 10, 2000. ( slides  available).
1999
  • ``Algebraic Structures on the Set of Multiple Zeta Values," Session on Interaction of Physics, Number Theory and Computer Science, 5th International IMACS Conference on Applications of Computer Algebra, Madrid, June 27, 1999 ( slides  available).
  • ``Multiple Zeta Values: New Applications and Identities," USNA Mathematics Colloquium, September 1, 1999 ( slides  available).
  • ``Values of Derivative Polynomials and Counting Snakes," combinatorics seminar, Howard University, November 16, 1999 ( slides  available).
1998
  • ``Multiple Harmonic Series and Kontsevich's Invariant,'' Special Session on Knot Theory and Quantum Topology, AMS Winter Meeting, Baltimore, Md., January 9, 1998 (text available).

  • ``Kontsevich's Invariant, Mysterious Numbers, and Hopf Algebras,'' topology seminar, Johns Hopkins University, February 2, 1998.

  • ``Algebras of Multiple Zeta Values, Quasi-Symmetric Functions, and Euler Sums," seminaire de combinatoire, Université du Québec à Montréal, May 1, 1998 (text available).

  • ``Mysterious Numbers From Knot Theory and Hopf Algebras," Lehigh Geometry/Topology Conference, Bethlehem, Pa., June 11, 1998.

  • ``What is a Hopf Algebra?", USNA Mathematics Colloquium, September 9, 1998 (text available).
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