Publications and Talks
Areas of interest:
Representation theory, algebraic geometry, algebraic combinatorics.
Publications:
1. Cluster algebras of finite type via Coxeter elements and principal minors (with Andrei Zelevinsky) [Fun Fact: This joint work earning myself an Erdös number of 4.]
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:
- MIT, combinatorics seminar, December 2008.
- Maurice Auslander Distinguished Lectures and International Conference, Woods Hole, Massachusetts, April, 2008.
- XII International Conference on Representations of Algebras and Workshop, Torun, Poland, August, 2007.
- Northeastern University, Tapas Seminar, June 2006, June 2007 and June 2009.
Cluster Algebra Portal | math.CO | math.QA | math.RT | "Cluster" on arXiv | Quiver mutation in Java by Bernhard Keller