Research Area

Algebraic Geometry

Education

2015-2020 Doctor, Rutgers University–New Brunswick

Work Experience

2024-present Assistant Professor, Yau Mathematical Science Center, Tsinghua University

2020-2024 Hedrick Assistant Professor, University of California, Los Angeles (UCLA)

Publications

(18). Wall-crossing for K-moduli spaces of certain families of weighted projective hypersurfaces (with In-Kyun Kim and Yuchen Liu). arXiv

(17). Exceptional Fano varieties with small minimal log discrepancy (with Louis Esser and Jihao Liu).arXiv

(16). Calabi-Yau varieties of large index  (with Louis Esser and Burt Totaro). arXiv

(15). On explicit birational geometry for minimal n-folds of canonical dimension n-1 (with Meng Chen and Louis Esser). Bull. Lond. Math. Soc. 56 (2024), no. 1

(14). Varieties of general type with doubly exponential asymptotics. (with Louis Esser and Burt Totaro) Trans. Amer. Math. Soc. Ser. B 10 (2023), 288-309.

(13). Derived Partners of Enriques Surfaces (with Lev Borisov and Vernon Chan). arXiv

(12). Optimal sine and sawtooth inequalities (with Louis Esser, Terence Tao and Burt Totaro). J. Fourier Anal. Appl. 28 (2022), no. 2, Paper No. 14, 21 pp.

(11). Klt varieties of general type with small volume (with Burt Totaro). Annali della Scuola Normale Superiore di Pisa, 24 (2023), 1557-1573.

(10). Fano varieties with conjecturally largest Fano index. Internat. J. Math. 35 (2024), no. 12

(9). Bott Vanishing for elliptic surfaces. Math. Z. 300 (2022), no. 2, 2037–2061.

(8). On stringy Euler characteristics of Clifford non-commutative varieties. (with Lev Borisov) Adv. Math. 349 (2019), 1117-1150.

(7). Positivity determines the quantum cohomology of Grassmannians. (with  Anders Buch ) Algebra Number Theory 15 (2021), no.6, 1505–1521.

(6). On H−trivial line bundles on toric DM stacks of dim ≥3 (with Lev Borisov). Manuscripta Math. 175 (2024), no. 3-4, 1085–1103.

(5). On duality of certain GKZ hypergeometric systems. (with Lev Borisov and Zengrui Han ) Asian J. Math. 25 (2021), no. 1, 65–88.

(4). On H-trivial line bundles on toric DM stacks of dimension two. Eur. J. Math. 9 (2023), no.2

(3). On strong exceptional collections of line bundles of maximal length on Fano toric Deligne-Mumford stacks. (with Lev Borisov) Asian J. Math. 25 (2021), no. 4, 505-520.

(2). On Exceptional Collections of Line Bundles on Toric Deligne-Mumford Stacks. Thesis (Ph.D.)-Rutgers The State University of New Jersey, School of Graduate Studies. 2020. 71 pp. Thesis

(1). Finitistic dimension conjecture and radical-power extensions. (with Changchang Xi)  J. Pure Appl. Algebra 221 (2017), no. 4, 832 - 846.