© Hausdorff Center for Mathematics

Study Areas

A broad spectrum of mathematical content and methods is represented in Bonn Mathematics, which the students also benefit from.

A large part of the course offerings is divided into six areas of study. Many lectures and seminars as well as some practical courses are assigned to one of these areas. This assignment can then be seen directly in the four-digit module code, in the third place of which one of the areas A to F described below can be found in each case.

Teaching in the respective areas of study is coordinated by the area coordinators.

A: Algebra, Number Theory and Logic

  • Algebra
  • Algebraic and analytic number theory
  • Algebraic and arithmetic geometry
  • Representation theory
  • Mathematical logic
Area coordinator:
Prof. Dr. Jan Schröer

B: Analysis and Differential Equations

  • Global analysis
  • Functional analysis
  • Harmonic analysis
  • Mathematical physics
  • Partial differential equations
  • Calculus of variations
Area coordinator:
Prof. Dr. Juan Velázquez

C: Discrete Mathematics

  • Combinatorial optimization
  • Approximation algorithms
  • Linear and integer programming
  • Graph theory and discrete structures
  • Chip design and vehicle routing
Area coordinator:
Prof. Dr. Stefan Hougardy

D: Geometry and Topology

  • Differential geometry
  • Geometric analysis
  • Homotopy theory
  • Geometric topology
Area coordinator:
Prof. Dr. Markus Hausmann

E: Numerical Mathematics and Scientific Computing

  • Numerical analysis
  • Approximation theory
  • Optimum control
  • Numerical simulation
  • Machine learning
  • High performance computing
Area coordinator:
Prof. Dr. Joscha Gedicke

F: Probability and Stochastic Analysis

  • Probability theory
  • Stochastic analysis
  • Interacting random systems
  • Statistics and data science
  • Stochastic models in the natural sciences
Area coordinator:
Prof. Dr. Andreas Eberle