Research
Intro

Overview of Research


My main interests are in Geometric Analysis on Euclidean and metric measure spaces, and in related fields. Specific topics of interest to me include:
  • CAT(0); related curvature and convexity conditions
  • Gromov hyperbolicity
  • 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