**Resarch
Group in Mathematical Statistics**

**Department
of Pure Mathematics and Mathematical Statistics**

We investigate the mathematical foundations and theory of inference problems arising in contemporary statistics and data science with a particular focus on statistical algorithms in non-convex, high- and infinite dimensional models, involving partial differential equations (PDE), stochastic processes, and inverse problems. The mathematics involved lies at the intersection of statistics, probability and analysis.

Currently
we are supported by
an
ERC
Advanced Grant
(2024-2029,
via UKRI) as well as an EPSRC
Programme Grant
(2022-2027).

From 2015-2021 we were supported by a Consolidator Grant of the European Research Council (ERC).

NEW: Conference for Vladimir Koltchinskii

NEW: Workshop in September 2024 in Cambridge

Research topics include:

*statistics for PDEs, inverse problems & stochastic processes**Bayesian nonparametrics and computation**confidence regions for high-dimensional statistical models**concentration of measure and empirical process theory*

*Current
group members:*

*Some
former group members:*

Randolf Altmeyer, Jan Bohr, Alexandra Carpentier, Matteo Giordano, Adam Kashlak, Hanne Kekkonen, Karim Lounici, Jakob Söhl, Kolyan Ray, Bharath Sriperumpudur Sven Wang

*Some
links:*

Video lecture at ICM 2022