Career
2022.8-present Assistant professor, ShanghaiTech University 2019.9-2022.8 Postdoctoral fellow, Colorado State University Education
2013.9-2019.6 Ph.D in Mathematics, University of Massachusetts, Amherst 2009.9-2013.6 Ms in Mathematics, Sichuan University 2005.9-2009.6 Bs in Mathematics, Sichuan University
Research Interest
My primary research interest lies in arithmetic geometry and algebraic geometry in positive characteristic. In arithmetic geometry, I am particularly interested in the l-adic representation induced by the etale cohomology of varieties and the arithmetic properties that can be read from these representations. In algebraic geometry, my research focuses on the behavers of the varieties caused by the Frobenius morphisms. I am also open to questions from other areas in algebraic number theory.
Selected Publications
(1). Irreducibility of geometric Galois representations and the Tate conjecture for a family of elliptic surfaces (with Xiyuan Wang),Mathematical Research Letters, Volume 28, Number 5, 1353–1378, 2021 (2). Generalizations of Alladi's formula for arithmetical semigroups (with Ning Ma and Shaoyun Yi),The Ramanujan Journal (2022) (3). Analogues of Alladi's formula over global function fields (with Biao Wang and Shaoyun Yi), Finite Fields and Their Applications, 74 (2021) (4)Faltings Serre method on three dimensional selfdual representations, Mathematics of Computation, 90 (2021), no. 328, 931–951 (5).Transverse lines to surfaces over finite fields (with Shamil Asgarli and Kuan-Wen Lai), manuscripta mathematica, 165 (2021), no. 1-2, 135–157. (6). Galois action on the N\'eron-Severi group of Dwork surfaces, Journal of Number Theory, 210 (2020), 389–415. |
Email: Office: S414, School of Creativity & Arts |
