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Andreas MihatschAssociate Professor at the School of Mathematical Sciences, Zhejiang UniversityZhejiang University School of Mathematical Sciences 866 Yuhangtang Rd Hangzhou, 310058, P. R. China
Office: 1003 |
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 2025
Introduction to Shimura varieties
Please see the course webpage for the schedule and more information. Lecture notes will be updated regularly here:
- Lecture notes on Shimura varieties (last updated Oct 13)
Q & A session
Every week on Thursday, I'm offering an informal discussion session for algebra and number theory. Please see here for dates and times.
Study group on cyclic base change and the trace formula
Please see here for the schedule and seminar program.Upcoming travels
| November 24 - 28 | Arithmetic Geometry Conference, Shenzhen (Link) |
| September 23 - 26 | Visiting Yihang Zhu at Tsinghua University |
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), to appear in Forum Math. Sigma.
- 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
Past activities at ZJU
| Spring 2025 | Study group on the arithmetic inner product formula |