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Universität Paderborn
Institut für Mathematik
Fachgebiet Computeralgebra und Zahlentheorie

Address Warburger Straße 100
33098 Paderborn
Deutschland

GERiT This institution in GERiT

33098 Paderborn

Projects

Research Grants
- Completed projects
  - Derived-tame algebras and non-commutative nodal projective curves
    (Applicant Burban, Igor )
  - Explizite Methoden in der Galoistheorie
    (Applicant Klüners, Jürgen )
  - Galois Groups of Local Function Fields
    (Applicant Klüners, Jürgen )
  - Triangulierte Kategorien und assoziative Algebren in der Geometrie von singulären Varietäten
    (Applicant Burban, Igor )
  - Trigonemetric solutions of the classical Yang-Baxter equations and bialgebra structures on loop Lie algebras
    (Applicant Burban, Igor )
Heisenberg Fellowships
- Completed projects
  - 1. Heuristiken für die Asymptotik von Zahlkörpern 2. Die Cohen-Lenstra-Heuristik und die Asymptotik-Vermutung nilpotenter Gruppen 3. Asymptotik von Funktionskörpern mit vorgegebener Galoisgruppe 4. Berechnung von Galoisgruppen
    (Applicant Klüners, Jürgen )
Independent Junior Research Groups
- Completed projects
  - Zahme abgeleitete Kategorien und ihre Anwendungen in der Algebraischen Geometrie, Darstellungstheorie, Singularitätentheorie und der mathematischen Physik
    (Applicant Burban, Igor )
Priority Programmes
- Completed projects
  - Asymptotics of wildly ramified Galois extensions of local or global function fields
    (Applicant Klüners, Jürgen )
  - Classical Yang-Baxter equation and sheaves on degenerations of elliptic curves
    (Applicant Burban, Igor )
  - Computational Galois Theory for Local Fields
    (Applicant Klüners, Jürgen )
CRC/Transregios
- Current projects
  - Affine Kac–Moody groups: analysis, algebra, and arithmetic
    (Project Heads Burban, Igor ; Bux, Kai-Uwe ; Glöckner, Helge )
  - Algebraic and arithmetic aspects of aperiodicity
    (Project Heads Baake, Michael ; Klüners, Jürgen )
  - Combinatorial Euler products
    (Project Heads Blomer, Valentin ; Klüners, Jürgen ; Voll, Christopher )
  - Counting points on quiver Grassmannians
    (Project Heads Franzen, Hans ; Sauter, Julia )
  - Hereditary categories, reflection groups, and non-commutative curves
    (Project Heads Baumeister, Barbara ; Burban, Igor ; Crawley-Boevey, William )
  - p-adic L-functions, L-invariants and the cohomology of arithmetic groups
    (Project Heads Januszewski, Fabian ; Spieß, Michael )
  - Symplectic methods in infinite-dimensional systems
    (Project Heads Burban, Igor ; Kunze, Markus ; Suhr, Stefan )
  - Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry
    (Project Heads Burban, Igor ; Crawley-Boevey, William ; Januszewski, Fabian )
- Completed projects
  - Derived categories of singular curves
    (Project Heads Burban, Igor ; Marinescu, George Teodor )
Research Units
- Completed projects
  - Classification and geometry of surfaces of general type
    (Applicants Bauer, Ingrid ; Catanese, Fabrizio ; Schröer, Stefan )

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