My main research interests are as follows.
Algebra
Combinatorial methods in algebra
(especially ring theory)
Ring commutativity conditions
Metric geometry
Gromov hyperbolicity
CAT(0) and convexity
Ptolemaic condition
Geometric analysis
Poincaré/Sobolev/Hardy inequalities
Quasiconformal & quasisymmetric mappings
The Heisenberg group and
subriemannian geometry
Other analysis
Elliptic PDEs
Doubling measures
Muckenhoupt and reverse Hölder weights
Classical complex function theory
A bouquet neighborhood in a rough CAT(0) space
Meetings organised