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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 |
About
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 ↗)
Current and Upcoming
| Study group on arithmetic inner product formula |
| July 7 - 11 | Visit to Max Planck Institute, Bonn |
| June 22 - 27 | Visit to MFO Oberwolfach, Workshop on Non-Archimedean Geometry and Applications |
| June 3 | Talk in the International Seminar on Automorphic Forms |
| May 5 - 9 | Visit to the Morningside Center of Mathematics, Beijing |
| February | I've moved to Zhejiang University, Hangzhou |
Publications and Preprints
- 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), to appear in Compositio Math.
- 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.