## RESEARCH INTERESTS

## Markov Processes

- singular diffusions (unbounded drifts, reflection problems on rough state spaces,
in particular on subsets of infinite dimensional state spaces and moving domains)
- uniqueness problems (pathwise uniqueness, (sub-)martingale problems)
- path regularity (non-explosion, recurrence)
- existence of standard and Hunt processes associated to strongly continuous semigroups on L
^{2}-spaces

## Symmetric, non-symmetric and generalized Dirichlet forms

## Analysis

- elliptic and parabolic regularity for singular partial differential equations
- analytic and non-analytic strongly continuous semigroups and operator theory

*March 2, 2016*