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Rheinisch-Westfälische Technische Hochschule Aachen
Lehrstuhl für Algebra und Zahlentheorie

Address Pontdriesch 14/16
52062 Aachen
Deutschland

GERiT This institution in GERiT

52062 Aachen

Projects

Research Grants
- Completed projects
  - Differential Galois theory and linear algebraic groups over algebraic function fields
    (Applicant Bachmayr, Annette )
  - Dual stark perfekte Gitter
    (Applicant Nebe, Gabriele )
  - Konstruktive Darstellungstheorie
    (Applicant Hiß, Gerhard )
Priority Programmes
- Completed projects
  - Arithmetic methods for finitely generated matrix groups
    (Applicant Nebe, Gabriele )
  - Computational aspects of block theory of finite groups
    (Applicant Müller, Jürgen )
  - Computing with Hecke algebras
    (Applicant Külshammer, Burkhard )
  - Coordinator Project
    (Applicant Decker, Wolfram )
  - Development, implementation and applications of fundamental algorithms, relying on Gröbner bases in free associative algebras
    (Applicants Kreuzer, Martin ; Levandovskyy, Viktor )
  - Elimination and Counting via Thomas Decomposition
    (Applicant Plesken, Wilhelm )
  - Generic Character Tables in GAP
    (Applicant Lübeck, Frank )
  - Investigations into the Abelian Defect Group Conjecture
    (Applicant Danz, Susanne )
  - Investigations on Alperin's Weight Conjecture by means of Auslander-Reiten Quivers
    (Applicant Naehrig, Natalie )
  - Investigations on the conjectures of McKay and Alperin-McKay
    (Applicant Malle, Gunter )
  - p-adic group rings of finite groups
    (Applicant Nebe, Gabriele )
Research Fellowships
- Completed projects
  - Asymptotisches Verhalten der Castelnuovo-Mumford-Regularität unter Benutzung von Janet-Basen
    (Applicant Robertz, Daniel )
CRC/Transregios
- Current projects
  - Algebra, kinematics and compatibility of triangulated geometries
    (Project Heads Niemeyer, Alice ; Robertz, Daniel )
  - Arithmetic and Convexity in Buildings
    (Project Heads Nebe, Gabriele ; Sturmfels, Ph.D., Bernd )
  - Central software project: OSCAR
    (Project Heads Decker, Wolfram ; Fieker, Claus ; Horn, Max ; Joswig, Michael ; Lübeck, Frank )
  - Clifford orders
    (Project Head Nebe, Gabriele )
  - Fourier matrices and character sheaves
    (Project Heads Geck, Meinolf ; Lübeck, Frank )
  - Gröbner techniques for PBW deformations: parametrization, representations, applications
    (Project Heads Fourier, Ghislain ; Thiel, Ulrich ; Zerz, Eva )
  - Integrated Research Training Group
    (Project Heads Nebe, Gabriele ; Speicher, Roland )
  - Tropical linear degenerate flag varieties and applications
    (Project Heads Fourier, Ghislain ; Markwig, Hannah ; Nebe, Gabriele )
- Completed projects
  - GAP: Generic character table of Spin_8^+ (q)
    (Project Heads Lübeck, Frank ; Malle, Gunter )
  - Imprimitive representations of quasisimple finite reductive groups
    (Project Head Hiß, Gerhard )
Collaborative Research Centres
- Current projects
  - Elimination theory for deformed differential calculus
    (Project Head Robertz, Daniel )
  - Group actions and t-designs in sparse and low rank matrix recovery
    (Project Heads Führ, Hartmut ; Nebe, Gabriele ; Rauhut, Holger )
  - Kinetic theory meets algebraic systems theory
    (Project Heads Herty, Michael ; Zerz, Eva )
Research Training Groups
- Completed projects
  - GRK 753: Mathematical Modelling, Optimization, Prognosis and Control of Technical, Economical and Medical Systems
    (Spokesperson Franke, Jürgen )
  - GRK 775: Hierarchy and Symmetry in Mathematical Models
    (Spokesperson Hiß, Gerhard )
  - GRK 1632: Experimental and Constructive Algebra
    (Spokesperson Nebe, Gabriele )

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