My research interest include algebraic geometry and number theory. I am currently particularly interested in Brauer groups, moduli spaces, stacks, K-theory and their applications. Below records my research works, they are reverse chronicle.
Moduli of vector bundles on $\mu_n$-gerbes over genus 2 curves and the period-index problem (2025) Preprint.
Picard group action on the category of twisted sheaves (2025) with Yeqin Liu and Yu Shen, Preprint
Accelerating Finite-Field and Torus FHE via Compute-Enabled (S)RAM (2023) with Johnathan Takeshita, Dayane Reis, Michael Niemier, Sharon X. Hu, and Taeho Jung, IEEE Transaction on Computers
SLAP: Simpler, Improved Private Stream Aggregation from Ring Learning with Errors (2023) with Johnathan Takeshita, Ryan Karl, and Taeho Jung, Journal of Cryptology
Finite Permutation Groups with Few Orbits Under the Action on the Power Set (2021) Alex Betz, Max Chao-Haft, Thomas Michael Keller, Anthony Ter-saakov, and Yong Yang, Rocky Mountain Journal of Mathematics
Algorithmic Acceleration of B/FV like Somewhat Homomorphic Encryption for Compute-Enabled RAM (2020) with Johnathan Takeshita, Dayane Reis, Michael Niemier, Sharon X. Hu, and Taeho Jung, Selected Areas in Cryptology
On the odd order composition factors of finite linear groups (2019) with Alex Betz, Max Chao-Haft, Anthony Ter-saakov, and Yong Yang, Journal of Group Theory