Timo Richarz
Algebraic Geometry and Number Theory

Prof. Dr. Timo Richarz

Contact

work +49 6151 16-22471

Work S2|15 414
Schlossgartenstraße 7
64289 Darmstadt

Chirantan Chowdhury, 04/2024 — present

Paul Ziegler, 10/2023 — present

Fabio Tanania, 06/2023 — present

Konstantin Jakob, 04/2022 — present

Moritz Dittmann, 08/2022 — 09/2023

Paul Siemon, 05/2023 — present

Rızacan Çiloğlu, 04/2022 — present

Thibaud van den Hove, 10/2021 — present

Patrick Bieker 04/2019 – 10/2022, Integral Models of Moduli Spaces of Shtukas with Deep Level Structures

  • Moritz Reinhard, 11/2023 – 04/2024
  • A categorical Künneth formula for constructible Weil sheaves (with Tamir Hemo, Jakob Scholbach), Algebra and Number theory, Vol. 18 (2024), No. 3, 499-536, Journal,arXiv.
  • Constructible sheaves on schemes (with Tamir Hemo, Jakob Scholbach), Advances in Mathematics, Volume 429 (2023), 109-179, Journal, arXiv.
  • Néron blowups and low-degree cohomological applications (with Arnaud Mayeux, Matthieu Romagny), Algebraic Geometry, Volume 10, Issue 6 (2023), 729-753, Journal, arXiv.
  • On the normality of Schubert varieties: Remaining cases in positive characteristic (with Thomas J. Haines, João N. P. Lourenço), accepted 2023 in Annales scientifiques de l’ENS, arXiv.
  • Normality and Cohen-Macaulayness of Parahoric Local Models (with Thomas J. Haines), Journal of the European Mathematical Society, Vol. 25, No. 2 (2023), 703-729, Journal, arXiv.
  • Tate motives on Witt vector affine flag varieties (with Jakob Scholbach), Selecta Mathematica 27 (2021), Journal, arXiv.
  • The motivic Satake equivalence (with Jakob Scholbach), Mathematische Annalen 380 (2021), 1595-1653. Journal, arXiv.
  • The Test Function Conjecture for Parahoric Local Models (with Thomas J. Haines), Journal of the American Mathematical Society 34 (2021), 135-218. Journal, arXiv.
  • Smoothness of Schubert varieties in twisted affine Grassmannians (with Thomas J. Haines), Duke Math. Journal 169 (2020), 3223-3260. Journal, arXiv.
  • The Test Function Conjecture for Local Models of Weil-restricted groups (with Thomas J. Haines), Compositio Mathematica 156 (2020), 1348-1404. Journal, arXiv.
  • The intersection motive of the moduli stack of shtukas (with Jakob Scholbach), Forum of Mathematics, Sigma 8 (2020), 1-99. Journal, arXiv, Corrigendum (opens in new tab) .
  • Spaces with Gm-action, hyperbolic localization and nearby cycles, Journal of Algebraic Geometry 28 (2019), 251-289. Journal, arXiv.
  • On the Iwahori Weyl group, Bulletin de la SMF 144 (2016), 117- 124. Journal, arXiv.
  • Affine Grassmannians and geometric Satake equivalences, Int. Math. Res. Not. 12 (2016), 3717-3767. Journal, arXiv, Erratum (opens in new tab).
  • Construction of the full Langlands dual group via the geometric Satake correspondence (with Xinwen Zhu), Appendix to Xinwen Zhu: The geometric Satake correspondence for ramified groups, Annales scientifiques de l’ENS 48 (2015), 409-451. Journal, arXiv.
  • A new approach to the geometric Satake equivalence, Documenta Mathematica 19 (2014), 209-246. Journal, arXiv.
  • Schubert varieties in twisted affine flag varieties and local models, Journal of Algebra 375 (2013), 121-147. Journal, arXiv.
  • Categorical Künneth formula for Weil sheaves, OWR 2021
  • Non-normality of Schubert varieties, OWR 2021
  • Cohen-Macaulayness of local models, OWR 2020
  • The test function conjecture for parahoric local models, OWR 2019
  • The stack Bun and Hecke stacks, OWR 2017
  • Affine Grassmannians and Geometric Satake Equivalences, OWR 2014

Research interests

Arithmetic algebraic geometry, Langlands program, moduli spaces of bundles, geometric representation theory

Current appointment

Since 2019: Professor, Technical University of Darmstadt, Germany

Studies

2006-2014: Diploma and PhD in Mathematics, Bonn University, Germany
Advisor: Michael Rapoport

Selected publications

  • The Test Function Conjecture for Parahoric Local Models (with Thomas J. Haines), Journal of the American Mathematical Society 34 (2021), 135-218.
  • The motivic Satake equivalence (with Jakob Scholbach), Mathematische Annalen 380 (2021), 1595-1653.
  • Smoothness of Schubert varieties in twisted affine Grassmannians (with Thomas J. Haines), Duke Math. Journal 169 (2020), 3223-3260.

Awards and grants

Detailed CV

For more information, please consult my detailed CV (opens in new tab) .