I am about to start as assistant professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.
I did my doctoral studies at Aalto University and I collaborate mainly with members of
the Nonlinear PDE Research Group.
- Analysis on metric measure spaces
- Functions of bounded variation (BV functions)
- Fine potential theory for p=1
- Quasiconformal mappings
I am interested in characterization and approximation results for functions of bounded variation
(BV functions) and in fine potential theory in the case p=1. Many of these results seem to be
new even in Euclidean spaces, but it is natural to study them in the more general setting of a
metric space equipped with a doubling measure and supporting a Poincaré inequality. I am also
interested in quasiconformal mappings, in particular in connection with sets of finite perimeter.