# Faculty Profile

# Bruce Kleiner

Professor of Mathematics

Chair, Department of Mathematics

bkleiner@cims.nyu.edu

212-998-3214

Warren Weaver Hall, Office 629

## Education

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 L

^{1}, 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)