Previously I am 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
Orthogonal and symplectic orbits in the affine flag variety of type A arXiv:2410.19442
Publications:
Crystals for set-valued decomposition tableaux (joint work with Eric MARBERG) To appear in Algebraic combinatorics
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]