Research Focus
Research Area: Algebraic combinatorics
My research concerns combinatorics and related problems in algebra, geometry, and representation theory. I am particularly interested in combinatorics arising from spaces with large group actions such as flag varieties, Grassmannians, and Schubert varieties.
Publications
- Standard monomials for positroid varieties (with Ayah Almousa and Daoji Huang), arxiv.2309.15384.
- Quantum Bruhat graphs and tilted Richardson varieties (with Jiyang Gao and Yibo Gao), arxiv.2309.01309.
- Newell-Littlewood numbers III: eigencones and GIT-semigroups (with Gidon Orelowitz, Nicolas Ressayre and Alexander Yong), Compositio Mathematica (to appear).
- Newell-Littlewood numbers (with Gidon Orelowitz and Alexander Yong), Trans. Amer. Math. Soc. 374 (2021), no.9, 6331-6366.