In this talk, I will attempt to review some of the results of Oleg Lepski and his co-authors that influenced the course of mathematical statistics over the last thirty years.

It is hard to do fair ...

Motivated by questions from quantitative genetics, we consider high dimensional versions of some common variance component models. We focus on quadratic estimators of 'genetic covariance' and study ...

We study two types of actions on King’s moduli spaces of quiver representations over a field k, and we decompose their fixed loci using group cohomology in order to give modular interpretations of ...