# Bruce Kleiner

#6,619

Most Influential Person Now

American mathematician and academic

## Bruce Kleiner's AcademicInfluence.com Rankings

Bruce Kleinermathematics Degrees

Mathematics

#336

World Rank

#712

Historical Rank

#162

USA Rank

Measure Theory

#724

World Rank

#975

Historical Rank

#289

USA Rank

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Mathematics

## Bruce Kleiner's Degrees

- PhD Mathematics Princeton University

## Why Is Bruce Kleiner Influential?

(Suggest an Edit or Addition)According to Wikipedia, Bruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory. He received his Ph.D. in 1990 from the University of California, Berkeley. His advisor was Wu-Yi Hsiang. Kleiner is a professor of mathematics at New York University.

## Bruce Kleiner's Published Works

### Published Works

- Notes on Perelman's papers (2006) (570)
- Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings (1997) (431)
- The local structure of length spaces with curvature bounded above (1999) (170)
- Quasisymmetric parametrizations of two-dimensional metric spheres (2001) (166)
- Spaces with nonpositive curvature and their ideal boundaries (2000) (154)
- Mean Curvature Flow of Mean Convex Hypersurfaces (2013) (140)
- A new proof of Gromov's theorem on groups of polynomial growth (2007) (139)
- Hyperbolic groups with low-dimensional boundary (2000) (126)
- On the topology of positively curved 4-manifolds with symmetry (1989) (122)
- Geometry and rigidity of mapping class groups (2008) (122)
- Hadamard spaces with isolated flats (2004) (113)
- An isoperimetric comparison theorem (1992) (108)
- Differentiating maps into L1, and the geometry of BV functions (2006) (106)
- Rigidity for Quasi-Möbius Group Actions (2000) (101)
- Separated nets in Euclidean space and Jacobians of biLipschitz maps (1997) (101)
- Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary (2002) (97)
- Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces with the Radon–Nikodym Property (2008) (77)
- Singular Ricci flows I (2014) (74)
- The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity (2006) (69)
- Compression bounds for Lipschitz maps from the Heisenberg group to L1 (2009) (66)
- Mean curvature flow with surgery (2014) (65)
- Conjugacy and rigidity for manifolds with a parallel vector field (1994) (64)
- Coarse Alexander duality and duality groups (1999) (62)
- Van Kampen’s embedding obstruction for discrete groups (2000) (60)
- Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups (2010) (59)
- The asymptotic geometry of right-angled Artin groups, I (2007) (57)
- On the differentiability of Lispschitz maps from metric measure spaces to Banach spaces (2006) (56)
- Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane (2008) (56)
- Geometrization of Three-Dimensional Orbifolds via Ricci Flow (2011) (55)
- Rigidity of invariant convex sets in symmetric spaces (2004) (53)
- DIFFERENTIABLE STRUCTURES ON METRIC MEASURE SPACES: A PRIMER (2011) (52)
- Rigidity of Schottky sets (2009) (49)
- Metric differentiation, monotonicity and maps to L1 (2009) (49)
- The geodesic flow of a nonpositively curved graph manifold (1999) (44)
- Quasi-hyperbolic planes in hyperbolic groups (2003) (42)
- Rectifying separated nets (2002) (42)
- Quasi-isometries and the de Rham decomposition (1998) (42)
- On the structure of the stable norm of periodic metrics (1997) (42)
- . 20 24 v 2 [ cs . D S ] 18 N ov 2 00 9 A ( log n ) Ω ( 1 ) integrality gap for the Sparsest Cut SDP (2009) (40)
- Realization of Metric Spaces as Inverse Limits, and Bilipschitz Embedding in L1 (2011) (37)
- Ricci flow and contractibility of spaces of metrics (2019) (35)
- Inverse Limit Spaces Satisfying a Poincaré Inequality (2013) (35)
- Groups quasi-isometric to symmetric spaces (1996) (32)
- Some applications of l_p-cohomology to boundaries of Gromov hyperbolic spaces (2012) (31)
- On Brendle's estimate for the inscribed radius under mean curvature flow (2013) (29)
- Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation (2015) (29)
- A $(\log n)^{\Omega(1)}$ Integrality Gap for the Sparsest Cut SDP (2009) (29)
- Uniqueness and stability of Ricci flow through singularities (2017) (28)
- A warped product splitting theorem (1992) (28)
- Spherical means in annular regions (1993) (27)
- integrality gap for the Sparsest Cut SDP (26)
- Generalized differentiation and bi-Lipschitz nonembedding in L1⁎ (2006) (26)
- On tori without conjugate points (1995) (26)
- Conjugacy and rigidity for nonpositively curved manifolds of higher rank (1996) (25)
- Ricci flow and diffeomorphism groups of 3-manifolds (2017) (23)
- Locally Collapsed 3-Manifolds (2010) (20)
- Quasiflats in CAT.0/ 2-complexes (2016) (17)
- On the rotational symmetry of 3-dimensional κ-solutions (2020) (16)
- Higher rank hyperbolicity (2018) (16)
- Rigidity for quasi-Fuchsian actions on negatively curved spaces (2004) (15)
- A rigidity theorem for simply connected manifolds without conjugate points (1998) (14)
- The weak hyperbolization conjecture for 3-dimensional CAT.0/-groups (2007) (13)
- Groups quasi-isometric to right-angled Artin groups (2018) (13)
- Carbon monoxide exposures of Boston bicyclists. (1976) (12)
- Induced quasi-actions: A remark (2008) (12)
- A rigidity theorem for manifolds without conjugate points (1998) (10)
- Quasiflats in CAT(0) complexes (2008) (10)
- Characterization of the Radon-Nikodym property in terms of inverse limits (2007) (10)
- PI spaces with analytic dimension 1 and arbitrary topological dimension (2015) (10)
- GEOMETRY OF QUASI-PLANES (2004) (9)
- Erratum on "Hadamard spaces with isolated flats" (2008) (9)
- Pansu pullback and rigidity of mappings between Carnot groups (2020) (9)
- Diffeomorphism groups of prime 3-manifolds (2021) (9)
- Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseudomanifold (2001) (8)
- Groups quasi-isometric to RAAG's (2016) (7)
- Singularity structure in mean curvature flow of mean-convex sets (2003) (7)
- Pansu pullback and exterior differentiation for Sobolev maps on Carnot groups (2020) (6)
- Singular Ricci Flows II (2018) (5)
- Rectifiability of planes and Alberti representations (2016) (5)
- Rigidity for convergence group actions (2000) (4)
- Local Collapsing, Orbifolds, and Geometrization (2015) (4)
- HOMEOMORPHISM GROUPS OF THE SIERPINSKI CARPET AND SIERPINSKI GASKET (2004) (3)
- Rigidity of flag manifolds (2022) (2)
- Sobolev mappings between nonrigid Carnot groups (2021) (2)
- Sobolev mappings and the Rumin complex (2021) (2)
- Hyperbolic groups with low-dimensional boundary - eScholarship (2000) (1)
- Hyperbolic groups with 1-dimensional boundary (1998) (1)
- Book Review: Lectures on spaces of nonpositive curvature@@@Book Review: Metric spaces of non-positive curvature@@@Book Review: Geometry of nonpositively curved manifolds (2002) (1)
- 0 N ov 2 00 4 HADAMARD SPACES WITH ISOLATED FLATS (2004) (0)
- Rigidity for convergence group actions Preliminary version (2000) (0)
- 1 The Heisenberg group does not admit a bi-Lipschitz embedding into L 1 after (2009) (0)
- RIGIDITY OF SCHOTTKY (2007) (0)
- GENERALIZED DIFFERENTIATION AND BI-LIPSCHITZ (2006) (0)
- Higher rank hyperbolicity (2020) (0)
- INDUCED QUASI-ACTIONS: A (2009) (0)
- Quasi-conformal geometry and word hyperbolic Coxeter groups (2009) (0)
- Quasiﬂats in CAT . 0 / 2 –complexes (2016) (0)
- Flat S in 3-manifolds (2003) (0)
- Quasiﬂats in CAT . 0 / 2 –complexes (2016) (0)
- M G ] 1 8 D ec 2 01 3 INVERSE LIMIT SPACES SATISFYING A POINCARÉ INEQUALITY (2021) (0)
- Sobolev mappings and the spectral sequence for Rumin's filtration on the de Rham complex (2022) (0)
- Realization of Metric Spaces as Inverse Limits, and Bilipschitz Embedding in L1 (2013) (0)
- On the rotational symmetry of 3-dimensional $\kappa$-solutions (2019) (0)
- Workshop: Differentialgeometrie im Großen Table of Contents (2018) (0)
- Ballmann, Bridson-haefliger, Eberlein 0000 (copyright Holder) (2010) (0)
- Ja n 20 08 GEOMETRY AND RIGIDITY OF MAPPING CLASS GROUPS (2008) (0)

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## What Schools Are Affiliated With Bruce Kleiner?

Bruce Kleiner is affiliated with the following schools: