Vector bundles on algebraic varieties, moduli spaces, Le Potier's strange duality conjecture, quiver representations, enumerative geometry, Quot schemes, toric varieties.
Gaeta resolutions and strange duality over rational surfaces, with Yinbang Lin (arXiv preprint).
Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces, with Aaron Bertram and Drew Johnson, Selecta Mathematica, 2023 (online article, arXiv preprint).
Rank-one sheaves and stable pairs on surfaces, with Yinbang Lin, Advances in Mathematics, 2022 (online article, arXiv preprint).
A weighted topological quantum field theory for Quot schemes on curves, Mathematische Zeitschrift, 2018 (online article, arXiv preprint).
Enumerative geometry of Quot schemes, PhD Thesis, 2017.
Embodied schema information processing theory: an underlying mechanism of embodied cognition in communication, with FengYi Yin, Communication Theory, 2024 (online article)
Poster about wTQFT, presented at the International Festival in Schubert Calculus, 2017
Undergraduate thesis on invariants of symmetry groups