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Technische Universität Darmstadt
Fachbereich Mathematik
Arbeitsgruppe Algebra

Address Schloßgartenstraße 7
64289 Darmstadt
Deutschland

GERiT This institution in GERiT

64289 Darmstadt

Projects

Independent Junior Research Groups
- Completed projects
  - Generalized Kac-Moody algebras, automorphic forms and hyperbolic reflection groups
    (Applicant Scheithauer, Nils R. )
Research Fellowships
- Completed projects
  - Explicit Geometric Langlands Correspondence for Rigid Local Systems
    (Applicant Jakob, Konstantin )
  - Local models of moduli spaces of shtukas
    (Applicant Richarz, Timo )
  - Positivität des Tangentialbündels von Fano-Mannigfaltigkeiten
    (Applicant Jahnke, Priska )
Heisenberg Fellowships
- Completed projects
  - 1. Invarianten von Varietäten in positiver Charakteristik 2. Tannaka-Dualität im nicht-neutralen Fall über kohärenten Ringen 3. Signatur-Charakter von Darstellungen p-adischer Gruppen 4. Generische Modelle von Modulräumen abelscher Varietäten
    (Applicant Wedhorn, Torsten )
  - Mathematik
    (Applicant Bruinier, Jan Hendrik )
Research Grants
- Completed projects
  - Dimension formulas for automorphic forms on orthogonal groups
    (Applicant Scheithauer, Nils R. )
  - Infinite-dimensional Lie algebras in string theory
    (Applicant Scheithauer, Nils R. )
  - Leaves in parahoric reductions of Shimura varieties
    (Applicant Wedhorn, Torsten )
  - weak Maaß Forms
    (Applicant Bruinier, Jan Hendrik )
Priority Programmes
- Completed projects
  - Purity of stable pieces in compactifications of semisimple groups
    (Applicant Wedhorn, Torsten )
Heisenberg Grants
- Current projects
  - Arithmetic of real-analytic automorphic forms
    (Applicant Li, Ph.D., Yingkun )
Research Units
- Completed projects
  - FOR 1920: Symmetry, Geometry and Arithmetic
    (Spokesperson Schmidt, Alexander )
  - Modulformen und Zetafunktionen
    (Applicant Freitag, Eberhard )
  - Siegelsche Modulformen und spezielle Zykel
    (Applicant Bruinier, Jan Hendrik )
CRC/Transregios
- Current projects
  - Automorphic forms and vertex operator algebras
    (Project Head Scheithauer, Nils R. )
  - Derived and prismatic F-Zips
    (Project Heads Blickle, Ph.D., Manuel ; Wedhorn, Torsten )
  - Expansion and rationality of theta integrals
    (Project Head Li, Ph.D., Yingkun )
  - Geodesic cycles and modular forms
    (Project Heads Bruinier, Jan Hendrik ; Möller, Martin )
  - Green currents on Shimura varieties
    (Project Head Bruinier, Jan Hendrik )
  - Integrated Research Training Group
    (Project Head Wedhorn, Torsten )
  - Motives and the Langlands programme
    (Project Head Richarz, Timo )
  - Motives for shtukas and Shimura varieties
    (Project Heads Richarz, Timo ; Viehmann, Eva ; Wedhorn, Torsten )
  - Strata and tautological classes for compactifications of Shimura varieties
    (Project Head Wedhorn, Torsten )
WBP Fellowship
- Current projects
  - Tautological motives of Shimura varieties and stratifications of derived F-zips
    (Applicant Yaylali, Can )
Collaborative Research Centres
- Completed projects
  - Singularities in Manifolds with Special Holonomy
    (Project Heads Altmann, Klaus ; Jahnke, Priska )

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