Andreas Mihatsch

Associate Professor at the School of Mathematical Sciences, Zhejiang University

Zhejiang University
School of Mathematical Sciences
866 Yuhangtang Rd
Hangzhou, 310058, P. R. China

Office: 1003
Email: mihatsch AT zju.edu.cn

My research area is arithmetic geometry. I am especially interested in the geometry of cycles on Shimura varieties, their relations with automorphic representations and orbital integrals, their modularity properties when assembled into arithmetic theta series (Kudla program), and algebraic aspects of their intersection theory. (My CV ↗)

Activities Fall 2026

Arithmetic Algebraic Geometry in Hangzhou conference at ZJU during November 2-6 (mini courses October 31 - November 1)

Mazur's torsion theorem learning seminar

Time and place tbd; first meeting during Sept 14-18; more details here

Lecture course on linear algebraic groups

Wed 10am - 12:25pm, in North 4-110 (first lecture Sept 16)

Upcoming events

August 3 - 7	Conference on 40 years of the Gross-Zagier formula (Link)
October 9 - 11	Workshop on p-adic Geometry (Shanghai, Fudan University)
November 2 - 6	Conference Arithmetic Algebraic Geometry in Hangzhou at ZJU in Hangzhou, co-organized with Pol van Hoften and Yousheng Shi

Publications and Preprints

Gaussian test functions and Jacquet-Rallis transfer (with Siddarth Sankaran and Tonghai Yang), Preprint (2025).
On unitary Shimura varieties at ramified primes (with Yu Luo and Zhiyu Zhang), Preprint (2025).
An arithmetic Siegel-Weil formula for central simple algebras (with Tonghai Yang), Preprint (2024).
A linear AFL for quaternion algebras (with Nuno Hultberg), Canad. J. Math. (2025), FirstView.
Arithmetic transfer for inner forms of GL_2n (with Qirui Li), Forum Math. Sigma. 13 (2025), e128.
Linear AFL: The non-basic case (with Qirui Li), Compos. Math. 161 (2025), no. 2, 385--425.
Delta-Forms on Lubin-Tate Space, Duke Math. J. 173 (2024), no. 14, 2809--2928.
The Arithmetic Fundamental Lemma Conjecture over a general p-adic field (with Wei Zhang), J. Eur. Math. Soc. 26 (2024), no. 12, 4831--4901.
On Tropical Intersection Theory, Selecta Math. 29 (2023), no. 2, Paper No. 17, 34 pp.
Local Constancy of Intersection Numbers, Algebra Number Theory 16 (2022), no. 2, 505--519.
Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma, J. Inst. Math. Jussieu, 21 (2022), no. 1, 241--301.
On the Arithmetic Fundamental Lemma through Lie algebras, Math. Z. 287 (2017), no. 1, 181--197.
An Arithmetic Transfer Identity, Manuscripta Math. 150 (2016), no. 1, 1--19.

Lecture notes

Introduction to Shimura varieties
Elliptic curves and their moduli spaces
Introduction to commutative algebra (notes by Tien Nguyen Thanh)

Past activities at ZJU

Fall 2025	Lecture course Introduction to Shimura varieties
	Study group on cyclic base change for GL_n
Spring 2025	Study group on the arithmetic inner product formula