Mark Shimozono's Research Page

Research interests

Combinatorial aspects of representation theory and algebraic geometry, including double affine Hecke algebras and Macdonald polynomials, Schubert calculus (especially quantum cohomology and K-theory) for affine Grassmannians and affine flag varieties, quiver degeneracy loci, and crystal graphs for quantum affine algebras.

I highly recommend the free open-source mathematical computational system sage and the sage-combinat extension for combinatorics (and many other things). One of my favorite things is that I can develop code for it and the code will be maintained and useful/useable in the future.

I was one of the principal investigators on an National Science Foundation Focused Research Group
"Affine Schubert Calculus: Combinatorial, geometric, physical, and computational aspects"


my papers on the math arXiv

A beamer presentation on crystal graphs