Faculty Profile

Photograph of Bruce Kleiner

Bruce Kleiner

Professor of Mathematics
Chair, Department of Mathematics
Warren Weaver Hall, Office 629


Ph.D., Mathematics, University of California, Berkeley, USA, 1990.
B.A., Mathematics, University of California, Berkeley, USA, 1985.

Research Interests

My research interests are in geometric analysis, geometric group theory, and geometric topology. These areas involve a mixture of ideas from geometry, analysis, topology, and algebra. Current research topics include:

  • Geometric evolution equations: Ricci flow and mean curvature flow.
  • Quasi-isometric rigidity.
  • Quasisymmetric structure of self-similar spaces, such as boundaries of hyperbolic groups.
  • Bilipschitz embedding problems.
  • Analysis on singular spaces, e.g. Carnot groups, and spaces satisfying Poincare inequalities.

Selected Publications

B. Kleiner, "The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity", International Congress of Mathematics 2, 743-768 (2006)
J. Cheeger and B. Kleiner, "Differentiating maps into L1, and the geometry of BV functions", Annals of Mathematics 171, no. 2, 1347-1385 (2010)
B. Kleiner, "A new proof of Gromov's theorem on groups of polynomial growth", Journal of the American Mathematical Society 23, no. 3, 815-829 (2010)