Research groups

Asymptotic group theory is the study of combinatorial invariants of finite and infinite groups.

The low-dimensional topology research group studies continuous and smooth properties of three and four-manifolds and knot theory.

Effective Random Methods in Discrete Mathematics

The group works on the mathematical, computational, and data-driven modelling of dynamical epidemiological processes on graphs and networks.

A Markov-lánc Monte-Carlo (MLMC) módszerek alapvető fontosságúak az összetett rendszerek viselkedésének szimulálására és nélkülözhetetlenné váltak pl. a számítógépes fizika, a biológia és a pénzügy bizonyos területein.

The research group analyzes the mixing properties of Markov chains, investigates the possibilities of improving mixing by perturbing the chains, and furthermore analyzes and refines consensus algorithms based on inspiration from applications.

The aim of the project is to support the widespread implementation of discovery mathematics education, to improve the existing practice, and to adapt it to the challenges of modern times.

We study the geometry of classical and quantum state spaces endowed with optimal transport distances, and various quantum versions of the optimal transport problem.

The group investigates mathematical questions arising from financial markets: optimal investment, and also the convergence analysis of machine learning algorithms.