



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

Automorphic forms
Automorphic forms play a key role in modern number theory, and we ai

Low-dimensional topology
Knots and Surfaces in four-manifolds.

Groups and Graphs
ERC Consolidator Grant 648017

DYNASNET
The aim of the EU-funded DYNASNET project is to engage leading exper

Clinical data analysis group
We are collaborating with clinical research groups to analyse clinic

ERMiD
Effective Random Methods in Discrete Mathematics


Network Epidemics Group
The Network Epidemics Group at the Rényi Institute works on the math


Markov-lánc és Monte-Carlo-módszerek kvantumos általánosításai
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.

Analysis and Applications of Markov Chains
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.

MTA-ELKH-ELTE Research Group in Mathematics Education
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.

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

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


Noise-Sensitivity
ERC Consolidator Grant 772466