Algebraic Geometry and Number Theory

• Seminar, Tuesdays, 14:00-15:30: Categorical Deligne-Langlands correspondence (joint with T. Wedhorn)
• Seminar, Fridays, 15:30-17:00: ERC Seminar on Arithmetic Geometry
• Lecture course, Tuesdays, 9:50-11:30: Algebraic Geometry I (joint with S. Pauli)
• Conference, July 7-11, 2025: Geometry and Representation Theory around the Langlands Programs (joint with G. Dospinescu, A. Lacabanne, S. Riche)
• Conference, July 28 – August 1, 2025: Motives and Arithmetic Geometry (joint with T. Bachmann, S. Pauli, F. Tanania)

• Seminar, Tuesdays, 14:00-15:30: GAUS AG on Vector bundles on Curves (joint with T. Wedhorn)
• Seminar, Fridays, 15:30-17:00: ERC Seminar on Arithmetic Geometry
• Oberwolfach Seminar, October 20-25, 2024: Reduction of Arithmetic Varieties (joint with T. Haines, E. Viehmann and T. Wedhorn)

• Summer term 2024:
  • Seminar, Tuesdays, 14:00-15:30: GAUS AG on Chromatic Homotopy Theory
  • Seminar, Fridays, 15:30-17:00: ERC Seminar on Arithmetic Geometry
  • Lecture course, Tuesdays, 9:50-11:30 and Fridays, 11:40-13:20: Algebraic number theory (Exercises by Ronald Solodov, Wednesdays, 11:40-13:20)
  • Workshop, September 9-13, 2024: Ramification in geometric Langlands and non-abelian Hodge theory (joint with A. Hohl, J. Horn, K. Jakob, J. Ludwig)
• Winter term 2023/2024:
  • Seminar, Thursdays, 15:00-16:30: GAUS AG on Rigid analytic motives
  • Seminar, Fridays, 15:30-17:00: ERC Seminar on Arithmetic Geometry
  • Lecture course, Fridays, 11:40-13:20: Intersection Theory (Exercises by R. Ciloglu: Mondays, 9:50-11:30)
  • Conference, 2-6 Oct 2023: Arithmetic Algebraic Geometry (joint with E. Hellmann, A. Mihatsch, E. Viehmann)
  • Conference, 23-27 Oct 2023: Geometric and categorical representation theory (joint with A. Lacabanne, S. Riche)
• Seminar: Seminar on Arithmetic Geometry(joint with S. Pauli, T. Wedhorn)
• Seminar: Moduli spaces of L-parameters (opens in new tab) (joint with G. Böckle, T. van den Hove, J. Ludwig and T. Wedhorn)
• Seminar: Non-hypergeometric E-functions (opens in new tab) (K. Jakob, G. Bogo)
• Research School: Condensed Mathematics (joint with S. Morel, A.-C. Le Bras, V. Pilloni)
• Conference: Arithmetic Algebraic Geometry (joint with U. Görtz, T. Wedhorn)
• Seminar: Étale motives (joint with R. Çiloglu, T. van den Hove)
• Conference: Women in Arithmetic Geometry (joint with K. Hübner, H. Krieger)
• Workshop: Clermont-Darmstadt workshop on the geometric Satake equivalence
• Lecture Course: Algebraic Geometry II (opens in new tab) (joint with T. Wedhorn)
• Lecture Course: Einführung in die Algebra (opens in new tab)
• Lecture Course: Introduction to the Langlands program (opens in new tab)
• Seminar: Condensed Mathematics (opens in new tab) (joint with T. Wedhorn)
• Lecture Course: Galois Cohomology (opens in new tab)
• Seminar: Homological Algebra and sheaves (opens in new tab) (joint with T. Wedhorn)
• Seminar: ZAGA – Zoom Algebraic Geometry and Arithmetic (joint with U. Görtz, E. Hellmann, A. Mihatsch, T. Richarz, M. Rapoport, P. Scholze, E. Viehmann).
• Summer School Luminy, 2019: Notes on affine Grassmannians (opens in new tab)
• Lecture Course: Algebraic Geometry II (opens in new tab) (joint with T. Wedhorn)
• Lecture Course: Algebraic Geometry I (opens in new tab)
• Lecture Course: Weil Conjectures (opens in new tab)
• Workshop: Infinity Categories (joint with T. Wedhorn)
• Lecture Course: (Pro-)Étale Cohomology (opens in new tab) (joint with T. Wedhorn)
• Seminar: Masterseminar on Stacks (joint with J. Heinloth)
• Seminar: Research Seminar Arithmetic Geometry
• Seminar: The Fargues-Fontaine Curve
• Seminar: Research Seminar Arithmetic Geometry
• Seminar (joint with M. Wong): Research Seminar Arithmetic Geometry
• Exercises: Algebra II
• Exercises: Algebra I
• Exercises: Einführung in die Algebra (Introduction to Algebra)
• Seminar: The unramified Drinfeld Langlands correspondence (opens in new tab)

Manuel Müller, 10/2024 — present

Chirantan Chowdhury, 04/2024 — present

Fabio Tanania, 06/2023 — present

Konstantin Jakob, 04/2022 — present

Paul Ziegler, 10/2023 — 09/2024

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

• Varun Kumar, 11/2022 — 05/2023, Minimal degeneration singularities in the affine Grassmannian for PGL2 over Z (opens in new tab)
• Helena Kuhr, 05/2022 — 11/2022, Arc descent for constructible adic sheaves (opens in new tab)
• Benedikt Müller, 04/2022 — 10/2022, Drinfeld’s Lemma for Schemes (opens in new tab)

• Moritz Reinhard, 11/2023 – 04/2024, Unendliche Galoistheorie (opens in new tab)

• Singularities of local models (with Najmuddin Fakhruddin, Thomas J. Haines, João N. P. Lourenço), Mathematische Annalen (2025), Journal, arXiv.
• Frobenius Rigidity in A^1-homotopy theory (with Jakob Scholbach), Documenta Mathematica, Vol. 30, No. 1, 219–244 (2025), Journal, arXiv.
• On the normality of Schubert varieties: Remaining cases in positive characteristic (with Thomas J. Haines, João N. P. Lourenço), Annales scientifiques de l’ENS 57 (2024), 895-959, Journal,arXiv.
• 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.
• 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 G_m-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 formulas for cohomological motives (with Jakob Scholbach), 30 pages, preprint Mar 2025, arXiv.
• A modular ramified geometric Satake equivalence (with Pramod N. Achar, João N. P. Lourenço, Simon Riche), 79 pages, preprint Mar 2024, arXiv.
• Normality of Schubert varieties in affine Grassmannians (with Patrick Bieker), 14 pages, preprint Dec 2023, arXiv.
• Fixed points under pinning-preserving automorphisms of reductive group schemes (with Pramod N. Achar, João N. P. Lourenço, Simon Riche), 36 pages, preprint Dec 2022, arXiv.
• On the p-adic theory of local models (with Johannes Anschütz, Ian Gleason, João N. P. Lourenço), 53 pages, preprint Jan 2022, 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.