Dr. Andreas Mihatsch My CV ↗
| Address | Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn |
| Phone | +49-(0)228-73-62369 |
| mihatsch (add ''at''math.uni-bonn.de) | |
| Office | Room 4.024 |
| Group | Arbeitsgruppe Arithmetische Algebraische Geometrie in Bonn |
Upcoming Travels, Talks and Events
| Current term | I'm based in Bonn, with travels to MIT, Winnipeg, and Princeton. |
| Nov 28 | Colloquium talk at Postech in Pohang |
Publications and Preprints
- An arithmetic Siegel-Weil formula for central simple algebras, jt. w/ Tonghai Yang, Preprint (2024).
- A linear AFL for quaternion algebras, jt. w/ Nuno Hultberg, Preprint (2023).
- Arithmetic transfer for inner forms of GL_2n, jt. w/ Qirui Li, Preprint (2023).
- Linear AFL: The non-basic case, jt. w/ Qirui Li, Preprint (2022).
- 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, jt. w/ 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
Teaching
| Summer 2024 | V4A5 Advanced Algebra 1 on Elliptic curves and their moduli spaces |
| Summer 2023 | S3A1/F4A1 Algebra 1 on Commutative Algebra |
| Winter 2022/23 | S2A1 Hauptseminar Darstellungen endlicher Gruppen |
| Summer 2022 | V5A2 Selected Topics Course in Algebra on Arithmetic Intersections |
| S4A1 Seminar on Jacobians of Curves (Homepage and Program, w/ J. Anschütz) | |
| Winter 2021/22 | V5A1 Advanced Topics in Algebra on Moduli of Elliptic curves |
| ARGOS Oberseminar on Arithmetic Bigness and Uniform Bogomolov (w/ P. Scholze) | |
| Summer 2021 | V4A5 Advanced Algebra 1 on Abelian Varieties (including Exercises) |
| Winter 2020/21 | S2A3/S4A5 Seminar on Quadratic Forms (Homepage and Program) |
| Exercises for V3A2/F4A1 Algebra 2 on Algebraic Number Theory | |
| Summer 2019 | ARGOS Oberseminar on the Arithmetic Fundamental Lemma (w/ M. Rapoport) |
| Exercises for Mathematik für Geowissenschaftler II | |
| Winter 2018/19 | V5A3 Advanced Topics in Algebraic Geometry on Differential forms in non-archimedean geometry |
| Summer 2018 | V5A4 Selected Topics in Algebraic Geometry on Moduli spaces of p-divisible groups |
| ARGOS Oberseminar on the B_dR^+ Grassmannian (w/ P. Scholze) | |
| Summer 2016 | Exercises for V3A1/F4A1 Algebra 1 |
Supervised Theses
| 2024 | Tien Nguyen Thanh (Quadratic base change for GL_2, B.Sc.) |
| Maria Stroe (Brauer's theorem and the meromorphic continuation of Artin L-functions, B.Sc.) | |
| Tristan Hansen (Spherical harmonic functions, B.Sc.) | |
| Jonas Ferel (Intersection theory, B.Sc.) | |
| 2023 | Calle Sönne (KR divisors and CM cycles in the function field setting, M.Sc.) |
| Paul Siemon (Comparison of the Gross-Zagier and the Gan-Gross-Prasad formula, M.Sc.) | |
| 2022 | Rein Groesbeek (RZ spaces for inner forms of GL_n, M.Sc.) |
| Lucas Gerth (Generating series of CM cycles on the modular curve, M.Sc.) | |
| 2021 | Nuno Hultberg (An AFL for inner forms of GL_2n, M.Sc.) |
| 2020 | Silvan Rincke (Moduli of Shtuka for G_m, M.Sc.) |
| 2019 | Nuno Hultberg (Ring class fields and their application to diophantine equations, B.Sc.) |
| Leo Gitin (A reciprocity law for global function fields, B.Sc.) |
Past Talks and Events
| Feb. 2024 | University of Wisconsin, Madison, Number theory seminar |
| Jan. 2024 | AIM Workshop on the Arithmetic intersection theory of Shimura varieties |
| Jan. 2024 | Zhejiang University, Number theory seminar |
| Dez. 2023 | Peking University, Number theory seminar |
| Oct. 2023 | Conference on Arithmetic Algebraic Geometry in Münster | on the occasion of Michael Rapoport's 75th birthday, co-organized with Eugen Hellmann, Timo Richarz and Eva Viehmann |
| Sept. 2023 | Conference on Modular Forms and Arithmetic Geometry in Darmstadt |
| July 2023 | YRN on the arithmetic of the Langlands program, co-organized with Ben Heuer and Mingjia Zhang |
| Mar. 2023 | SLMath, Special program seminar |
| Jan. 2023 | Oberwolfach Workshop on Arithmetic of Shimura Varieties |
| Jan. 2023 | AIM Special Session on Automorphic Forms and Special Cycles at the Joint Mathematics Meeting in Boston |
| Aug. 2022 | Young researcher's conference on non-archimedean and tropical geometry, Regensburg |
| June 2022 | Barcelona, Seminari de Geometria Algebraica de Barcelona |
| May 2022 | Frankfurt, GAUS Seminar |
| May 2022 | N-Cube Days, Copenhagen |
| Feb. 2022 | Oberwolfach Workshop on Non-Archimedean Geometry and Applications |
| Oct. 2021 | Regensburg, Oberseminar Arakelov Theory |
| Apr. 2021 | Universität Duisburg-Essen, Essener Seminar |
| Mar. 2021 | University of Arizona, Algebra and Number Theory Seminar |
| Jan. 2021 | AIM Workshop on Intersection Theory on Shimura Varieties |
| June 2020 | ZAGA (Zoom Algebraic Geometry and Arithmetic) Seminar |
| Apr. 2020 | Columbia University, Automorphic Forms and Arithmetic Seminar |
| Nov. 2019 | University of Maryland, Algebra and Number Theory Seminar |
| Nov. 2019 | MIT Number Theory Seminar |
| Oct. 2019 | Clay Mathematics Institute Workshop on Periods, Representations and Arithmetic |
| Sep. 2019 | Postdoc at MIT until July 2020, mentored by Wei Zhang |
| Sep. 2019 | Hausdorff School on the Emerton-Gee stack, co-organized with Arthur-César Le Bras and Johannes Anschütz |
| Apr. 2019 | Paris Nord (Paris 13) Arithmetic Geometry Seminar |
| Apr. 2019 | IMJ-PRG (Paris 7) Séminaire Groupes Réductifs et Formes Automorphes |
| Oct. 2018 | Kleine AG on Travaux de Shimura, co-organized with Felix Gora |
| Jul. 2018 | Summer School on the Geometrization of the Langlands Program (after Fargues--Scholze) near Moscow, co-organized with Arthur-César Le Bras and Johannes Anschütz |
| Jul. 2015 | Alpbach Summer School on Special Cycles at the ETH Zürich, co-organized with Michael Rapoport |