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