Yigeng Zhao 赵以庚

School of Science
Westlake University
Dunyu Road 600, Sandun Town, Xihu District
310030, Hangzhou, China

office: Building E4, 230
email: zhaoyigeng "at" westlake dot edu.cn

I am an E Fund endowed assistant professor at Westlake University.

Research Interests

Number theory and algebraic geometry, in particular: étale duality, class field theory, l-adic sheaves, p-adic cohomology.

Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes Documenta Math. 23 (2018), p.1925-1967.
Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields Compositio Math. 154(6) (2018), p.1306-1331 (with Uwe Jannsen and Shuji Saito).
Higher ideles and class field theory Nagoya Math. Journal 236(special volume) (2019), p.214-250(with Moritz Kerz).
Characteristic class and ε-factor of an étale sheaf Transactions of the American Mathematical Society 373(10) (2020), p6887-6927 (with Naoya Umezaki and Enlin Yang).
On the relative twist formula of l-adic sheaves Acta Mathematica Sinica-English Series 37 (2021), p73-94(with Enlin Yang).
Special values of spectral zeta functions of graphs and Dirichlet L-functions Journal of Number Theory 256 (2024), p136-159(with Bing Xie and Yongqiang Zhao).
Special values of spectral zeta functions and combinatorics: Sturm–Liouville problems European Journal of Combinatorics 120 (2024) 103972, p12(with Bing Xie and Yongqiang Zhao).
Cohomological Milnor formula and Saito's conjecture on characteristic classes Preprint (2022), p30(with Enlin Yang).