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D-Index & Metrics

Mathematics

D-Index
43
Citations
6425
World Ranking
1718
National Ranking
738

Research.com Recognitions

  • 1995 - Fellow of Alfred P. Sloan Foundation

Overview

Bruce Kleiner is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their principal field of research is Mathematics, with a focus on several specialized subfields. These include Geometry and Topology, Applied Mathematics, Mathematical Physics, Astronomy and Astrophysics, and Biomedical Engineering.

Their work spans a range of topics primarily within geometric and topological areas. The main topics covered in their research include:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Mathematical Dynamics and Fractals
  • Analytic and geometric function theory
  • Elasticity and Material Modeling

Bruce Kleiner has contributed extensively to academic publications, with a significant number of papers appearing in various respected venues. Frequently, their publications are hosted at:

  • arXiv (Cornell University)
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Acta Mathematica
  • Journal of the American Mathematical Society
  • Inventiones mathematicae

Recent papers authored or coauthored by Bruce Kleiner include:

  • "Higher rank hyperbolicity," 2020, Inventiones mathematicae
  • "Uniqueness and stability of Ricci flow through singularities," 2022, Acta Mathematica (authored by Richard H. Bamler)
  • "Ricci flow and diffeomorphism groups of 3-manifolds," 2022, Journal of the American Mathematical Society (authored by Richard H. Bamler)
  • "On the rotational symmetry of 3-dimensional κ-solutions," 2021, Journal für die reine und angewandte Mathematik (Crelles Journal) (authored by Richard H. Bamler)
  • "Morse quasiflats I," 2022, Journal für die reine und angewandte Mathematik (Crelles Journal) (authored by Jingyin Huang)

Collaboration with other researchers has been a feature of their academic work. Frequent coauthors include:

  • Xiangdong Xie
  • Richard H. Bamler
  • Stefan Müller
  • Stefan C. Müller
  • Jingyin Huang

Bruce Kleiner was recognized as a Fellow of the Alfred P. Sloan Foundation in 1995.

Best Publications

  • Notes on Perelman's papers

    Bruce Kleiner;John Lott

  • Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings

    Bruce Kleiner;Bernhard Leeb

  • Quasisymmetric parametrizations of two-dimensional metric spheres

    Mario Bonk;Bruce Kleiner

  • The local structure of length spaces with curvature bounded above

    Bruce Kleiner

  • Spaces with nonpositive curvature and their ideal boundaries

    Christopher B. Croke;Bruce Kleiner

  • Hyperbolic groups with low-dimensional boundary

    Michael Kapovich;Bruce Kleiner

  • A new proof of Gromov's theorem on groups of polynomial growth

    Bruce Kleiner

  • An isoperimetric comparison theorem

    Bruce Kleiner

  • On the topology of positively curved 4-manifolds with symmetry

    Wu Yi Hsiang;Bruce Kleiner

  • Separated nets in Euclidean space and Jacobians of biLipschitz maps

    Dmitri Burago;Bruce Kleiner

  • Mean Curvature Flow of Mean Convex Hypersurfaces

    Robert Haslhofer;Bruce Kleiner

  • Geometry and rigidity of mapping class groups

    Jason Behrstock;Bruce Kleiner;Yair Minsky;Lee Mosher

  • Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

    Mario Bonk;Bruce Kleiner

  • Hadamard spaces with isolated flats

    G Christopher Hruska;Bruce Kleiner

  • Differentiating maps into L1, and the geometry of BV functions

    Jeff Cheeger;Bruce Kleiner

  • Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces with the Radon–Nikodym Property

    Jeff Cheeger;Bruce Kleiner

  • Rigidity for Quasi-Möbius Group Actions

    Mario Bonk;Bruce Kleiner

  • The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity

    Bruce Kleiner

  • Conjugacy and rigidity for manifolds with a parallel vector field

    Christopher B. Croke;Christopher B. Croke;Bruce Kleiner

  • Compression bounds for Lipschitz maps from the Heisenberg group to L 1

    Jeff Cheeger;Bruce Kleiner;Assaf Naor

Frequent Co-Authors

Jeff Cheeger
Jeff Cheeger Courant Institute of Mathematical Sciences
Michael Kapovich
Michael Kapovich University of California, Davis
John Lott
John Lott University of California, Berkeley
Mladen Bestvina
Mladen Bestvina University of Utah
Assaf Naor
Assaf Naor Princeton University
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Luchezar L. Avramov
Luchezar L. Avramov University of Nebraska–Lincoln
Ricardo Dobry
Ricardo Dobry Rensselaer Polytechnic Institute
Tarek Abdoun
Tarek Abdoun Rensselaer Polytechnic Institute

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