I am a Professor of Mathematics at the University of Illinois at Urbana-Champaign. I am currently on a temporary assignment as an NSF Program Officer in the Analysis Program.

My areas of research interest include analysis in metric spaces, geometric mapping theory, geometric measure theory, fractal geometry, and sub-Riemannian geometry. I am particularly interested in notions of first-order differential calculus and differential geometry in metric measure spaces lacking any a priori Euclidean or Riemannian structure.