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:

• `A character on the quasi-symmetric functions coming from multiple zeta values,' Electron. J. Combin. 15(1) (2008), res. art. 97.
• `(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.

• ``Combinatorics and Algebra: Updown Categories and Hopf Algebras," Combinatorics Seminar, MIT, Cambridge, Mass., April 13, 2011 (slides available).
• ``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, Md., April 9, 2012.

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

Home Page