Analysis and probability theory are fundamental mathematical disciplines based on the study of functions and operators, function spaces, measures, and randomness. These fields tackle fundamental questions related to the behavior of complex systems, bridging abstract mathematical theory with real-world applications in physics and applied mathematics. Our researchers within the Analysis and Probability Division push the boundaries of these areas, advancing theoretical foundations and their applicability.
The members of the division run their own independent research program (see personal web pages below), including collaborations with postdocs, PhD students, and international collaborators. Many members also take part in the research groups listed below. The Division has a weekly seminar, with talks by both national and international colleagues and guests.
General relativity theory
We are interested in mathematical problems inspired by physics.
Ergodic theory
We study a wide range of problems in classical and modern analysis.
Harmonic analysis
We study a wide range of problems in classical and modern analysis.
Integrable systems
We are interested in mathematical problems inspired by physics.
Operator algebras
We study a wide range of problems in classical and modern analysis.
Partial differential equations and spectral theory
We study a wide range of problems in classical and modern analysis.
Percolation theory and combinatorial probability
The probability group conducts research in theoretical probability.
Point processes, random measures and stochastic geometry
The probability group conducts research in theoretical probability.
Statistical physics
We are interested in mathematical problems inspired by physics.
Stochastic partial differential equations and optimization
The probability group conducts research in theoretical probability.
Stochastic processes
The probability group conducts research in theoretical probability.
