Previously, I was interested in crystals of quantum Lie (super)algebras and crystal models on symmetric functions. I am now interested in the geometric and combinatorial properties of the orbits in affine flag varieties.
Preprints:
Grothendieck positivity for normal square root crystals (joint work with Eric MARBERG and Tianyi YU) arXiv:2501.16640
Type AIII orbits in the affine flag variety of type A arXiv:2501.16269
Publications:
Orthogonal and symplectic orbits in the affine flag variety of type A, Journal of Algebra, Vol. 695, 1 June 2026, pp. 184-217 [Link]
Crystals for set-valued decomposition tableaux (joint work with Eric MARBERG), Algebraic Combinatorics, Vol. 8 (2025), no. 4, pp. 857–896 [Link]
Primed decomposition tableaux and extended queer crystals (joint work with Eric MARBERG), Algebra and Representation Theory (2025) [Link]
Highest weight crystals for Schur Q-functions (joint work with Eric MARBERG), Combinatorial Theory Vol. 3, Issue 2 [Link]