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