Shih-Wei Yang

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Publications and Talks

Areas of interest:

I am interested in representation theory, combinatorics, and algebraic geometry. My immediate research is on various aspects of cluster algebras. Here is my research statement (PDF), Dec. 2009.

Publications:

2. Combinatorial Expressions for F-polynomials in Classical Types.
We give combinatorial formulas for F-polynomials in cluster algebras of classical types in terms of the weighted paths in certain directed graphs. As a consequence we prove the positivity of F-polynomials in cluster algebras of classical types.
arXiv:0912.2332.

1. Cluster algebras of finite type via Coxeter elements and principal minors (with Andrei Zelevinsky).
We construct a family of uniform geometric realizations for any cluster algebra of finite type as coordinate rings of certain reduced double Bruhat cells in the semisimple group of the same Cartan-Killing type. In each of these realizations, the cluster variables appear as certain (generalized) principal minors.
Transformation Groups 13 (2008), No. 3-4, 855-895. | arXiv:0804.3303.

Talks:

Word cloud for the titles of my papers

"Word cloud" for the titles of my papers, made using http://www.wordle.net

Well..., not really a cloud yet.