Faculty Members
Prof. Dr. Sören Bartels
Research Group: Applied Mathematics
Tel. +49 761 203-5628 Office: Room 209 (Hermann-Herder-Str. 10)
bartels@mathematik.uni-freiburg.de
Research Area:
The research group focuses on the development and analysis of numerical methods for solving partial differential equations that arise in materials science and geometry. Based on results concerning the existence and uniqueness of solutions to nonlinear differential equations, time-stepping schemes and finite element methods are studied with regard to stability and convergence. The resulting approximation methods are tested experimentally using high-performance computing and enable the assessment of the suitability of the underlying mathematical models for practical predictions.
Prof. Dr. Harald Binder (kooptiert)
Research Group: Institute of Medical Biometry and Statistics (IMBI)
Tel. +49 761 203-49 761 270 83744 Office: Room 01-019 (Stefan-Meier-Str. 26)
binderh@imbi.uni-freiburg.de
Research Area:
Focus Areas: Biostatistics and Machine Learning
- Machine learning techniques with a focus on deep learning for knowledge extraction from biomedical data with limited sample sizes
- Integrative statistical modeling of molecular measurements combined with clinical features
- Big data techniques for clinical registries and routine data with complex temporal structures
Dr. Katharina Böcherer-Linder
Department: Mathematics education
Tel. +49 761 203-5616 Office: Room 131 (Ernst-Zermelo-Str. 1)
Research Area: Mathematics education
Special Research Areas:
- Promoting statistical thinking and the communication of risks and opportunities
- Visualization of mathematical concepts, with a particular focus on enhancing the understanding of conditional probabilities through visualization
JProf Dr. David Criens
Department: Stochastics
Tel. +49 761 203-5674 Office: Room 244 (Ernst-Zermelo-Str. 1)
david.criens@stochastik.uni-freiburg.de
Research Area: Stochastic Analysis and Financial Mathematics
Special Research Areas:
- Diffusions and Stochastic differential equations (SDEs)
- Interacting particle systems
- Random walks in random environments
- Martingale problems
- Nonlinear stochastic processes: properties and applications
- (Semilinear) stochastic partial differential equations
Prof. Dr. Moritz Diehl (kooptiert)
Research Group: Applied Mathematics
Tel. +49 761 203-67852 Office: Room 01-21 (Georges-Koehler-Allee 102)
moritz.diehl@imtek.uni-freiburg.de
Research Area: Systems Theory, Control Engineering, and Optimization
Focus Areas:
- Open-source software development
- Numerical methods for nonlinear optimal control
- Real-time optimization
- State and parameter estimation
- Modeling with differential-algebraic equations
- Model predictive control
Prof. Dr. Patrick W. Dondl
Department: Applied Mathematics
Tel. +49 761 203-5642 Office: Room 217 (Hermann-Herder-Str. 10)
patrick.dondl@mathematik.uni-freiburg.de
Research Area: Analysis and Numerics of Variational Problems
The research group focuses on the analysis and numerical treatment of variational problems and the associated gradient flows. The topics range from problems in microstructure formation in the minimization of non-convex energies to the evolution of interfaces in media with random obstacles. Particular emphasis is placed on the mathematical derivation of effective macroscopic models from microscopic behavior, as well as their numerical implementation.
Prof. Dr. Sebastian Goette
Research Group: Geometry
Tel. +49 761 203-5571 Office: Room 339 (Ernst-Zermelo-Str. 1)
Sebastian.Goette@math.uni-freiburg.de
Research Area: Differential Geometry, Differential Topology, and Global Analysis
Focus Areas:
- Local index theory and secondary invariants
- Higher torsion and smooth structures
- Dirac operators and scalar curvature estimates
Prof. Dr. Nadine Große
Research Group: Geometry
Tel. +49 761 203-5561 Office: Room 328 (Ernst-Zermelo-Str. 1)
nadine.grosse@math.uni-freiburg.de
Research Area: Differential Geometry and Global Analysis
The main research focuses on
- Curvature problems, particularly on non-compact manifolds
- Dirac- and Laplace-type operators, their spectra, and boundary value problems
- Conformal variational problems
- Analysis on manifolds with bounded geometry
Dr. Ernst August Frhr. v. Hammerstein
Tel.: +49-761-203-5673 Office: Room 248 (Ernst-Zermelo-Str. 1)
ernst.august.hammerstein@stochastik.uni-freiburg.de
Research Area: Stochastic Processes and Financial Mathematics
- Pricing and hedging of derivatives
- Credit risk modeling
- Optimal payoffs
- Applications of Lévy processes and their generalizations in finance
Prof. Dr. Annette Huber-Klawitter
Research Group: Number Theory / Arithmetic Geometry
Office: Room 434 (Ernst-Zermelo-Str. 1)
annette.huber@math.uni-freiburg.de
Research Area: Motives and Special Values of L-functions
The question of the solvability of polynomial equations with integer coefficients is a classical problem in number theory. In arithmetic geometry, this problem is approached by interpreting the solution sets as geometric objects. The advantage is that one can then apply the highly developed methods of geometry and topology. It turns out that geometric properties often determine the underlying arithmetic behavior.
Arithmetic geometry is a broad and technically demanding field. It has connections to classical analytic and algebraic number theory, algebraic geometry, complex geometry, representation theory, and algebraic topology.
PD Dr. Markus Junker
Department: Mathematical Logic
Tel. +49 761 203-5537 Office: Room 312 (Ernst-Zermelo-Str. 1)
markus.junker@math.uni-freiburg.de
Research Area:
General model theory and stability theory, in particular model theory of fields and groups, Stable groups and Cherlin’s conjecture, Equational theories, Heyting algebras.
Prof. Dr. Stefan Kebekus
Research Group: Algebraic Geometry
Tel. +49 761 203-5536 Office: Room 425 (Ernst-Zermelo-Str. 1)
Stefan.Kebekus@math.uni-freiburg.de
Research Area:
Algebraic geometry is one of the oldest and at the same time one of the most active areas of research in mathematics. Broadly speaking, it studies geometric spaces defined by comparatively simple equations, which can nevertheless exhibit highly complex geometry. Many mathematicians find the field particularly fascinating because intuition and geometric insight are just as important as the highly abstract concepts of modern algebra and number theory.
In addition to connections with differential geometry, algebraic geometry is closely linked to many other areas of mathematics, such as number theory, topology, representation theory, and complex analysis. It also plays an important role in certain areas of theoretical physics and has become an essential tool in modern data security and cryptography.
Tel: +49 761 203-5590 Office: Room 150 (Ernst-Zermelo-Str. 1)
susanne.knies@math.uni-freiburg.de
All inquiries concerning the lecture Mathematics for Students of the Natural Sciences should be sent exclusively to:
Program Coordination: Master of Education (Secondary School) – Dual Track
This program is a pilot project of the state of Baden-Württemberg and offers graduates with a BSc in computer science or physics (or an equivalent degree) the opportunity to obtain a teaching qualification for secondary schools (Gymnasium) within a three-year dual study program.
The subjects are therefore Computer Science and Mathematics, or Physics and Mathematics. No other subject combinations are permitted.
For inquiries, please contact lehramt-dual@zv.uni-freiburg.de.
Prof. Dr. Ernst Kuwert
Research Group: Analysis
Tel. +49 761 203-5585 Office: Room 208 (Ernst-Zermelo-Str. 1)
ernst.kuwert@math.uni-freiburg.de
Research Area:
Many interesting geometric objects are characterized by variational principles, for example minimal surfaces and harmonic maps. Willmore surfaces are minima or critical points of a curvature energy. Our research group studies questions of existence and regularity of minimizers, or more generally solutions of the Euler–Lagrange equations, as well as compactness properties of sequences of solutions. The associated gradient flows, including the formation of possible singularities, are also analyzed.
Prof. Dr. Eva Lütkebohmert-Holtz (kooptiert)
Department: Quantitative Financial Market Research
Tel. +49 761 203-9362 Office: Room 03-23 (Rempartstr. 16)
Systemic risks and financial stability
Research Area: Quantitative Financial Market Research
- Analysis and modeling of financial market risks
- Portfolio optimization
- Risk management
- Pricing and hedging of derivatives
- Systemic risk and financial stability
Prof. Dr. Amador Martin-Pizarro
Department: Mathematical Logic
Tel. +49 761 203-5603 Office: Room 310 (Ernst-Zermelo-Str. 1)
pizarro at math.uni-freiburg.de
Research Area: Model Theory
- Geometric stability theory
- Model theory of algebraic structures
- Applications of model theory to algebraic geometry and additive combinatorics
Prof. Dr. Heike Mildenberger
Department: Mathematical Logic
Tel. +49 761 203-5610 Office: Room 313 (Ernst-Zermelo-Str. 1)
heike.mildenberger@math.uni-freiburg.de
Research Are: Set Theory
Set-theoretic axioms, which form the foundation of all mathematics, establish generally accepted basic truths about the existence of mathematical objects. Set theory studies mathematical structures from a combinatorial perspective based on these axioms. Central objects of interest include structures relevant to further set-theoretic properties, such as partial orders and set systems on power sets. Set theory also helps address questions across all areas of mathematics concerning infinite or uncountable configurations, for which the axioms may not provide a unique answer, by supplying relatively consistent extensions of the axiom system.
Focus:
- Algebraic and Arithmetic Geometry (newly established)
I completed my PhD at the University of Toronto under Jacob Tsimerman. My research interests lie in interactions between algebraic and analytic geometry, both in the complex and non-Archimedean settings, in problems of unlikely intersections, in functional transcendence, and in moduli of abelian varieties.
Prof. Dr. Peter Pfaffelhuber
Department: Mathematical Stochastics
Tel. +49 761 203-5667 Office: Room 233 (Ernst-Zermelo-Str. 1)
peter.pfaffelhuber at stochastik.uni-freiburg.de
Research Area:
My research focuses on probabilistic aspects of biology. In systems biology, the interactions of proteins or other molecules within a cell are of central importance. These interactions are studied using networks and models from mathematical chemistry. Population genetics aims to understand genetic data from samples of populations. A powerful tool in this context is provided by random genealogical trees, known as coalescents. The goal of my research is, on the one hand, to establish biology as a quantitative science and, on the other hand, to develop new mathematical models for phenomena in the living world.
Prof. Dr. Angelika Rohde
Department: Mathematical Stochastics
Tel. +49 761 203-98659 Office: Room 242 (Ernst-Zermelo-Str. 1)
angelika.rohde@stochastik.uni-freiburg.de
Research Area:
Probability Theory
(Inhomogeneous) Markov processes, Limit theorems, Parametrix approximation and Edgeworth expansions, Random matrices, Empirical processes and concentration of measure
Mathematical Statistics
Adaptive uncertainty quantification, Nonparametric statistics of stochastic processes, Mathematical foundations of transfer learning, Convergence analysis of recursive algorithms
Prof. Dr. Michael Růžička
Department: Applied Mathematics
Tel. +49 761 203-5680 Office: Room 145 (Ernst-Zermelo-Str. 1)
rose@mathematik.uni-freiburg.de
Research Area:
The research group focuses on the theoretical and numerical analysis of nonlinear partial differential equations. These are studied using techniques and ideas from various areas, such as functional analysis, function space theory, and numerical error analysis. A priori estimates and limiting processes play a central role. The problems considered are often motivated by questions arising in fluid mechanics or geometry.
Prof. Dr. Chiara Saffirio
Department: Pure Mathematics
Tel. +49 761 203-5563 Office: Room 337 (Ernst-Zermelo-Str. 1)
chiara.saffirio@math.uni-freiburg.de
Research Area:
Mathematical Physics
JProf. Dr. Diyora Salimova
Tel. +49 761 203-5634 Office: Room 227 (Hermann-Hermann-Str. 10)
diyora.salimova@mathematik.uni-freiburg.de
Research Area:
My research areas include the following topics:
- Approximation properties of deep neural networks
- Machine learning
- Numerical methods for stochastic and deterministic partial differential equations
- Numerical and stochastic analysis
- Computational stochastics
Prof. Dr. Thorsten Schmidt
Research Group: Mathematical Stochastics
Tel. +49 761 203-5668 Office: Room 247 (Ernst-Zermelo-Str. 1)
thorsten.schmidt@stochastik.uni-freiburg.de
Research Area: Financial Mathematics, Actuarial Science, Uncertainty, Regulation (in particular of AI)
My research interests focus on financial and actuarial mathematics as well as the theory and applications of stochastic processes, particularly under Knightian uncertainty. These areas are both theoretically challenging and highly relevant in practice, and they play an important role in the professional field of mathematicians. Examples include:
- Interest rate markets, credit risk, energy markets, and foreign exchange
- Portfolio optimization
- Incomplete information and filtering techniques
- Markov processes such as affine and polynomial processes
- Actuarial mathematics, pension products, and the interface with financial mathematics
- Quantitative risk management
- Machine learning and its applications in finance and insurance
I am also interested in related areas such as applications in medicine, regulation of artificial intelligence, and dynamic methods for forest development. A more detailed overview can be found in my list of publications. In 2011, the book “Mathematical Statistics”, co-authored with Prof. C. Czado (TU Munich), was published by Springer.
Prof. Dr. Wolfgang Soergel
Research Group: Algebra and Representation Theory
Tel. +49 761 203-5540 Office: Room 429 (Ernst-Zermelo-Str. 1)
Wolfgang.Soergel@math.uni-freiburg.de
Research Area: Modular and Geometric Representation Theory
Representation theory studies symmetries. The focus of this research group lies on algebraic aspects of the representation theory of non-compact Lie groups and on the representation theory of algebraic groups in positive characteristic. In both cases, the determination of irreducible characters is reduced to the computation of intersection cohomology of Schubert varieties.
Prof. Dr. Guofang Wang
Research Group: Analysis
Tel. +49 761 203-5584 Office: Room 209 (Ernst-Zermelo-Str. 1)
Guofang.Wang@math.uni-freiburg.de
Research Area: Partial Differential Equations arising in Geometry, Mathematical Physics, and Applied Fields.
Focus Areas:
- Fully nonlinear conformal equations
- Sasaki–Einstein metrics and transversal geometric structures
- Toda systems and Dirac-harmonic maps
- PDEs arising in image processing