Research Interests

My research interests lie in Algebraic Combinatorics. During my undergraduate studies, I also worked on projects involving Cluster Algebras.

Papers and Publications

• A symmetric rule for equivariant Schubert calculus of columns  (preparing)
  Abstract: We introduce a symmetric positive rule for the equivariant Schubert calculus of columns, using combinatorial objects called bigraphs. This resolves an explicit challenge posed in the recent textbook by Anderson and Fulton (2023). Our construction is inspired by the edge-labeled Young tableaux rule of Thomas and Yong (2012), which we adapt to the equivariant setting for column-shaped Schubert classes.

• RSK linear operators and the Vershik-Kerov-Logan-Shepp curve, with David Xia
  [2025] arXiv

• On the correspondence between perfect matchings and compatible pairs for affine cluster algebra, with Ivan Ip
  [2023] arXiv

Undergraduate Research Projects

All with Prof. Ivan Ip

• UROP 1100: Cluster algebra on surfaces

• UROP 2100: Perfect matchings and compatible pairs on affine cluster algebra

• UROP 3100: Cluster algebra on coordinate rings of Schubert cells and partial flag varieties

• UROP 4100: Cluster algebra on Schubert varieties

• Final Year Project: Braid groups and exchange graphs on quiver with potential