Research and Publications

I am interested in algebra, topology, and combinatorics. My current research is mainly on multiple zeta values and related topics. Recent publications:

• `(Non)Commutative Hopf algebras of trees and (quasi)symmetric functions,' in Renormalization and Galois Theories, European Math. Soc. Publ. House, 2009; preprint 0710.3739.
• `Rooted trees and symmetric functions: Zhao's homomorphism and the commutative hexagon,' in Vertex Operator Algebras and Related Areas, American Math. Soc., 2009; preprint 0812.2419.
• `On multiple zeta values of even arguments,' preprint 1205.7051.

• ``Hopf Algebra Structures on Quasi-Shuffle Algebras,'' RISC-DESY Workshop on Advanced Summation Techniques and their Applications 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 13, 2012 (slides available).
• ``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).

The material above is my own research and a disclaimer applies to it.

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