Research

Research Interest

• Cluster Algebra

• Representation Theory

Research Description

My research is about finding out combinatorial interpretation of cluster algebra. I am interested in a combinatorial formula that allows for the Laurent expansion of a cluster variable within any cluster algebra originating from a punctured orbifold. The other thing I'm interested in is a combinatorial expansion formula that provides skein relations for elements within a cluster algebra derived from a punctured surface, specifically for cluster algebras of surface type.

Publication

1. Skein relations for punctured surfaces (with E. Banaian and E. Kelley), Seminaire Lotharingien de Combinatoire in the proceedings for Formal Power Series and Algebraic Combinatorics 2024, to appear

Talks

Conference

• International Conferences on Formal Power Series and Algebraic Combinatorics(FPSAC 2024), Ruhr-Universität Bochum, July 2024