My research interest is Algebraic Combinatorics.
Publications:
On components of tensor square of a Weyl module (with Dinglong Wang*), 2023, to appear in Transform. Groups.
We study the relation between affine slices of the Kostka cone and those of the saturated tensor cone.
Standard monomials for positroid varieties (with Ayah Almousa and Daoji Huang), 2023, submitted.
We study standard monomial theory for positroid varieties.
Quantum Bruhat graphs and tilted Richardson varieties (with Jiyang Gao and Yibo Gao), 2023, preprint.
We study minimal quantum parameters in quantum Schubert calculus.
Degrees of the stretched Kostka quasi-polynomials (with Yibo Gao), Bull. Lond. Math. Soc., 56 (2024), no.5, 1748-1761.
We give a type uniform formula for the dimensions of Berenstein-Zelevinsky polytopes in classical Lie types.
Combinatorics of Newell-Littlewood numbers (with Gidon Orelowitz, Nicolas Ressayre and Alexander Yong), FPSAC 2022 conference proceedings.
Survey of work on the Newell-Littlewood numbers.
Balanced shifted tableaux (with Jiyang Gao and Yibo Gao), Discrete Math. 347 (2024), no.3, Paper No. 113836.
We introduce balanced shifted tableaux and show that they are equinumerous to shifted standard Young tableaux by establishing an explicit bijection.
Minimal equations for matrix Schubert varieties (with Alexander Yong), J. Commut. Algebra. 16 (2024), no.3 267-273.
Explicit minimal generators for Fulton's Schubert determinantal ideals are determined along with some implications.
Newell-Littlewood numbers III: eigencones and GIT-semigroups (with Gidon Orelowitz, Nicolas Ressayre and Alexander Yong), 2021, to appear in Compositio Math.
We prove a NL-generalization of A.Klyachko's result on the Hermitian eigenvalue problem.
The Kostka semigroup and its Hilbert basis (with Joshua Kiers, Gidon Orelowitz and Alexander Yong), Enumer. Comb. Appl. 4 (2024), no. 2, Paper No. S2R9.
We study the Hilbert Basis of the Kostka semigroup.
Newell-Littlewood numbers II: extended Horn inequalities (with Gidon Orelowitz and Alexander Yong), Algebraic Combinatorics, Volume 5 (2022) no. 6, pp. 1287-1297.
We introduce extended Horn inequalities and conjecture that they characterize Newell-Littlewood semigroup.
Multiplicity-free skew Schur polynomials (with Reuven Hodges and Gidon Orelowitz), Algebraic Combinatorics, Volume 4 (2021) no. 6, pp. 1073-1117.
We give a non-recurrsive combinatorial classification of multiplicity-free skew Schur polynomials.
Newell-Littlewood numbers (with Gidon Orelowitz and Alexander Yong), Trans. Amer. Math. Soc. 374 (2021), no.9, 6331-6366.
We study Newell-Littlewood numbers by analogy with modern research on Littlewood-Richardson coefficients.
The (2, 2) and (4, 3) properties in families of fat sets in the plane (with Shira Zerbib), SIAM Journal of Discrete Mathematics, 33 (2019), no. 3, 1326–1337.
We study the piercing number of families of fat sets in the plane with (2,2) and (4,3) properties.
*indicates undergraduate coauthor.