Piotr Hajlasz Professor, PhD

420 Thackeray
Phone: 412-624-9074

Research Area(s) of Interest:
Analysis and Partial Differential Equations
Topology and Differential Geometry


My research is focused on the theory of Sobolev spaces with applications to various areas like the theory of quasiconformal mappings, calculus of variations, regularity of nonlinear elliptic PDEs, and Carnot-Caratheodory spaces. I am particularly interested in analysis on metric spaces including the theory of Sobolev spaces on metric spaces. Recently I am working in the theory of Sobolev mappings between manifolds and metric spaces. This includes questions about density of smooth and Lipschitz mappings with connection topology of spaces and also regularity theory for p-harmonic mappings between manifolds.


PhD, Warsaw University