Biography

Yongqiang Zhao received his Ph.D. from the Department of Mathematics at the University of Wisconsin-Madison in 2013. Then he had a three-year postdoctoral research period at University of Waterloo and Centre de Recherches Mathematiques in Canada. From October 2016 to April 2017, he was a visiting scholar at the Max Planck Institute for Mathematics in Bonn, Germany. From May 2017 to now, he is an associate professor in mathematics of the School of Science, betway必威棋牌登录

Research

His main research interests are number theory and arithmetic geometry, specifically: arithmetic statistics, torsion subgroups of class groups of number fields, distribution of rational and integral points on algebraic varieties, geometry of numbers. Recent research interests also include syzygy theory of algebraic curves and spectral theory of Sturm-Liouville problem.

Representative Publications

1. Special values of spectral zeta functions of graphs and Dirichlet L-functions, arXiv:2212.13687, (joint with Bing Xie and Yigeng Zhao).

2. Scrollar invariants, syzygies and representations of the symmetric group, Journal für die Reine und Angewandte Mathematik,796(2023), 117-159 (joint with Wouter Castryck and Floris Vermeulen).

3. Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves, Journal of the American Mathematical Society, 33(2020), 33, no. 4, 1087-1099 (joint with M. Bhargava, A. Shankar, T. Taniguchi, F. Thorne, J. Tsimerman).

4. Manin’s conjecture for a class of singular hypersurfaces,International Mathematics Research Notices, 2019, no. 7, 2008–2043 ( joint with J. Liu and J. Wu).

5. On Sieve Methods for Varieties over Finite Fields, Thesis (Ph.D.)–The University of Wisconsin - Madison. 2013. 57 pp. ISBN: 978-1303-35983-5. ProQuest LLC.