Research
Intro

Overview of Research


My main interests are in Geometric Analysis on Euclidean and metric measure spaces, and in related fields. Here are some topics within this broad scope that interest me:
  • Gromov hyperbolicity and nonpositive curvature
  • Poincaré and Sobolev inequalities
  • Quasiconformal and quasisymmetric mappings
  • The Heisenberg group and subriemannian geometry
  • Elliptic PDEs
  • Doubling measures
  • Harmonic analysis
  • Classical complex function theory


Meetings organized

A John Domain


Perched Owl

E-mail: head at maths.nuim.ie

Research
Intro