Analysis (Prof. Dr. Leonhard Frerick):

• Function theory: approximation in the complex, linear dynamical systems, Bergman spaces
• Function theory: continuation operators, Dirichlet series, non-local operators

Functional Analysis (Prof. Dr. Jochen Wengenroth):

• Theory and applications of locally convex spaces in distribution theory
• Categorical and homological methods in analysis

Applied Analysis (Prof. Dr. Olaf Post):

• Spectral and operator theory: convergence of operators in different Hilbert spaces; abstract boundary value problems
• Analysis of energy forms and Laplace operators on metric spaces such as discrete and metric graphs, fractals, and manifolds.

Modeling and numerics (Prof. Dr. Nicole Marheineke):

• Model reduction, asymptotic and hierarchical modeling
• Numerics and optimization with ordinary, partial and stochastic differential equations

Optimization with partial differential equations (Prof. Dr. Schulz):

• Numerical optimization with ordinary and partial differential equations
• Shape optimization, optimal control problems, inverse problems

Nonlinear Optimization (Prof. Dr. Martin Schmidt):

• Mixed integer nonlinear optimization
• Bilevel optimization and equilibrium models

Operations Research (Prof. Dr. Sven de Vries):

• Discrete, combinatorial and integer optimization
• Game theory: combinatorial auctions and mechanism design

Mathematical stochastics (Prof. Dr. Lutz Mattner):

• Statistics: confidence intervals, optimality theory, applications
• Probability theory: approximations, stochastic orders, analytical tools

Stochastics (Prof. Dr. Frank Seifried):

• Stochastic processes and control theory
• Mathematical Economics and Finance