Professor and John Rainwater Faculty Fellow

### Fields of Interest

### Biography

PhD, University of California, San Diego, 1994

SB, MIT, 1990

My research is in algebraic combinatorics. Combinatorics is the study of counting and bijective proofs, so an algebraic combinatorialists counts algebraic objects. In particular, I am interested in Schubert polynomials, Schubert varieties, flag manifolds, Kazhdan-Lusztig polynomials, Stanley symmetric functions, Bruhat order, Weyl group and root systems of all types etc. I am a strong advocate of using computers to do math research, in particular for obtaining data for conjectures and computer verified proofs. Recently, I have been interested in problems which are not decidable by any possible algorithm in finite time.