Faculty Profile

Bruce Kleiner

Silver Professor of Mathematics

Chair, Department of Mathematics

bkleiner@cims.nyu.edu

212-998-3214

Warren Weaver Hall, Office 629

http://math.nyu.edu/~bkleiner/

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

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)

J. Lott and B. Kleiner, "Singular Ricci flows I", Acta Math. 219 (2017), no. 1, 65-134.