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D-Index & Metrics

Mathematics

D-Index
36
Citations
6957
World Ranking
2605
National Ranking
1073

Overview

John Lott is a researcher affiliated with the University of California, Berkeley in the United States. Their main fields of study encompass Mathematics and Physics and Astronomy, with a strong focus on Applied Mathematics, Geometry and Topology, and Astronomy and Astrophysics. The researcher's interests extend to Nuclear and High Energy Physics as well as Mathematical Physics.

Their work contributes to multiple specialized topics within these fields, including:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Advanced Differential Geometry Research
  • Geometric and Algebraic Topology
  • Advanced Operator Algebra Research
  • Black Holes and Theoretical Physics
  • Point processes and geometric inequalities

John Lott has published numerous articles in a variety of academic venues. Frequent publication platforms include:

  • arXiv (Cornell University)
  • Mathematische Annalen
  • Classical and Quantum Gravity
  • Duke Mathematical Journal
  • The Neurodiagnostic Journal

Significant recent papers authored by John Lott include the following:

  • "On 3-manifolds with pointwise pinched nonnegative Ricci curvature," 2023, Mathematische Annalen
  • "On the initial geometry of a vacuum cosmological spacetime," 2020, Classical and Quantum Gravity
  • "Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces," 2021, Duke Mathematical Journal
  • "Comparison geometry of holomorphic bisectional curvature for Kaehler manifolds and limit spaces," 2020, arXiv (Cornell University)

Their collaborative work extends to frequent coauthors such as Bruce Kleiner, Patama Gomutbutra, Sarawut Krongsut, C. Grabowski, and N. Joseph.

Best Publications

  • Ricci curvature for metric-measure spaces via optimal transport

    John Lott;Cedric Villani

  • Particle models and noncommutative geometry

    Alain Connes;John Lott

  • Notes on Perelman's papers

    Bruce Kleiner;John Lott

  • Some geometric properties of the Bakry-Émery-Ricci tensor

    John Lott

  • Flat vector bundles, direct images and higher real analytic torsion

    Jean-Michel Bismut;John Lott

  • HEAT KERNELS ON COVERING SPACES AND TOPOLOGICAL INVARIANTS

    John Lott

  • Some Geometric Calculations on Wasserstein Space

    John Lott

  • Weak curvature conditions and functional inequalities

    John Lott;Cédric Villani

  • L2-Topological invariants of 3-manifolds

    John Lott;Wolfgang Lück

  • On the long-time behavior of type-III Ricci flow solutions

    John Lott

  • THE METRIC ASPECT OF NONCOMMUTATIVE GEOMETRY

    Alain Connes;John Lott

  • An index theorem in differential $K$–theory

    Daniel S Freed;John Lott

  • Higher Eta-Invariants

    John Lott

  • Analytic torsion for group actions

    John Lott;Mel Rothenberg

  • Singular Ricci flows I

    Bruce Kleiner;John Lott

  • Eigenvalue bounds for the Dirac operator

    John Lott

  • Hamilton–Jacobi semigroup on length spaces and applications

    John Lott;Cédric Villani

  • Optimal transport and Perelman’s reduced volume

    John Lott

  • Superconnections and higher index theory

    John Lott

  • Dimensional reduction and the long-time behavior of Ricci flow

    John Lott

Frequent Co-Authors

Bruce Kleiner
Bruce Kleiner Courant Institute of Mathematical Sciences
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Jean-Michel Bismut
Jean-Michel Bismut University of Paris-Saclay
Alain Connes
Alain Connes Collège de France
Wolfgang Lück
Wolfgang Lück University of Bonn
Zhongmin Shen
Zhongmin Shen Indiana University – Purdue University Indianapolis
Daniel S. Freed
Daniel S. Freed The University of Texas at Austin

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