Lehre

Wintersemester 2021/22

Mathematik für Physiker 1 - Lineare Algebra

Hauptseminar - Examples in algebraic geometry

Seminar Points on the reduction of Shimura varieties

Research Seminar

 

Frühere Semester

Hinweise zu Abschlussarbeiten

Preprints

• A Harder-Narasimhan stratification of the B_dR⁺-Grassmannian(with K.H. Nguyen)
• On Newton strata in the B_dR⁺-Grassmannian.

Publications

• Closure relations of Newton strata in Iwahori double cosets (with S. Trentin), to appear in manuscripta math.
• The generic fiber of moduli spaces of bounded local G-shtukas (with U. Hartl), to appear in Journal Inst. Math. Jussieu.(preprint)
• Generic Newton points and the Newton poset in Iwahori double cosets (with E. Milicevic), Forum of Mathematics, Sigma, 8 (2020) e50. (open access)
• Finiteness properties of affine Deligne-Lusztig varieties (with P. Hamacher), Doc. Math. 25 (2020), p. 899-910 (open access).
• On the geometry of the Newton stratification, in: Stabilization of the trace formula, Shimura varieties, and arithmetic applications, Volume II: Shimura varieties and Galois representations, ed.: T. Haines, M. Harris, Cambridge University Press, 2020 (preprint).
• Minimal Newton strata in Iwahori double cosets, IMRN 2019 (preprint, including an unpublished appendix).
• Irreducible components of minuscule affine Deligne-Lusztig varieties (with P. Hamacher), Algebra and Number Theory 12 (2018), p. 1611-1634 (preprint).
• Moduli spaces of local G-shtukas, Proceedings of the ICM 2018.
• Central leaves in loop groups (with H. Wu), Math. Res. Letters 25 (2018), p. 989-1008 (preprint).
• Affine Deligne-Lusztig varieties and the action of J (with M. Chen), Journal of Algebraic Geometry 27 (2018), p. 273-304 (preprint).
• Connected components of affine Deligne-Lusztig varieties in mixed characteristic (with M. Chen, M. Kisin), Compositio Mathematica 151 (2015), p. 1697-1762 (preprint). Corrigendum
• Truncations of level 1 of elements in the loop group of a reductive group, Annals of Mathematics 179 (2014), p. 1009-1040 (preprint).
• Towards a theory of local Shimura varieties (with M. Rapoport), Münster Journal of Mathematics 7 (2014), on the occasion of P. Schneider's 60th birthday, p. 273-326 (preprint).
• Ekedahl-Oort and Newton strata for Shimura varieties of PEL type (with T. Wedhorn), Mathematische Annalen 356 (2013), p. 1493-1550. (preprint)
• Newton strata in the loop group of a reductive group, American Journal of Mathematics 135 (2013), p. 499–518. (preprint)
• Generalized affine Springer fibers (with R. Kottwitz), Journal of the Institute of Mathematics of Jussieu, 11 (2012), p. 569-609. (preprint)
• Foliations in deformation spaces of local G-shtukas (with U. Hartl), Advances in Mathematics 229 (2012), p. 54-78. (preprint)
• The Newton stratification on deformations of local G-shtukas (with U. Hartl), Journal für die reine und angewandte Mathematik (Crelle's Journal) 656 (2011), p. 87-129. (preprint)
• On the Hodge-Newton filtration for p-divisible O-modules (with E. Mantovan), Mathematische Zeitschrift 266 (2010), p. 193-205. (preprint)
• The global structure of moduli spaces of polarized p-divisible groups, Documenta Mathematica 13 (2008), p. 825-852. (open access)
• Connected components of closed affine Deligne-Lusztig varieties, Mathematische Annalen 340 (2008), p. 315-333. (preprint)
• Moduli spaces of p-divisible groups, Journal of Algebraic Geometry 17 (2008), p. 341-374 (preprint)
• Formal moduli of formal O_K-modules (with K. Ziegler), in: ARGOS seminar on intersections of modular correspondences, Astérisque 312 (2007), p. 57-66.
• Lifting endomorphisms of formal O_K-modules, in: ARGOS seminar on intersections of modular correspondences, Astérisque 312 (2007), p. 99-104.
• The dimension of some affine Deligne-Lusztig varieties, Annales Scientifiques de l'Ecole Normale Supérieure 39 (2006), p. 513-526. (preprint)
• On affine Deligne-Lusztig varieties for GL_n, Dissertation, Bonn, 2005