D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 31 Citations 5,915 101 World Ranking 2507 National Ranking 1050

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Pure mathematics

His main research concerns Mathematical analysis, Pure mathematics, Manifold, Ricci curvature and Analytic torsion. His study in Mathematical analysis focuses on Vector bundle in particular. His Pure mathematics study integrates concerns from other disciplines, such as Poincaré inequality and Algebra.

The Manifold study combines topics in areas such as Discrete mathematics, Betti number and Ricci flow. His Ricci curvature study combines topics in areas such as Riemann curvature tensor and Sectional curvature. His work carried out in the field of Riemann curvature tensor brings together such families of science as Tensor contraction and Mathematical physics.

His most cited work include:

  • Ricci curvature for metric-measure spaces via optimal transport (1049 citations)
  • Particle models and noncommutative geometry (477 citations)
  • Notes on Perelman's papers (416 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Curvature, Riemannian manifold and Ricci flow. His Pure mathematics study incorporates themes from Space and Algebra. His studies in Mathematical analysis integrate themes in fields like Riemann curvature tensor, Ricci curvature and Scalar curvature, Sectional curvature.

His Curvature research incorporates elements of Upper and lower bounds, Gravitational singularity and Type. His Riemannian manifold research includes elements of Infinity, Tangent and Mathematical physics. As part of the same scientific family, John Lott usually focuses on Ricci flow, concentrating on Flow and intersecting with Divisor.

He most often published in these fields:

  • Pure mathematics (50.34%)
  • Mathematical analysis (44.90%)
  • Curvature (18.37%)

What were the highlights of his more recent work (between 2015-2021)?

  • Pure mathematics (50.34%)
  • Curvature (18.37%)
  • Mathematical analysis (44.90%)

In recent papers he was focusing on the following fields of study:

John Lott spends much of his time researching Pure mathematics, Curvature, Mathematical analysis, Spacetime and Riemannian manifold. His work in the fields of Pure mathematics, such as Differential form, intersects with other areas such as Complex space. The various areas that John Lott examines in his Curvature study include Gravitational singularity and Limit.

His Mathematical analysis research is multidisciplinary, incorporating perspectives in Ricci curvature, Ricci flow and Scalar curvature. The Ricci decomposition and Curvature of Riemannian manifolds research John Lott does as part of his general Scalar curvature study is frequently linked to other disciplines of science, such as Index and Boundary, therefore creating a link between diverse domains of science. His research in Riemannian manifold intersects with topics in Space, Infinity, Conical surface and Ricci soliton.

Between 2015 and 2021, his most popular works were:

  • Singular Ricci flows I (41 citations)
  • Ricci flow on quasiprojective manifolds II (17 citations)
  • Ricci measure for some singular Riemannian metrics (9 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Geometry
  • Quantum mechanics

His scientific interests lie mostly in Pure mathematics, Ricci flow, Spacetime, Curvature and Mathematical analysis. John Lott has researched Pure mathematics in several fields, including Bundle, Infinity and Complement. John Lott combines subjects such as Conical surface and Divisor with his study of Ricci flow.

His Geometric flow study in the realm of Curvature connects with subjects such as Volume. His Mathematical analysis research is multidisciplinary, incorporating elements of Curvature of Riemannian manifolds and Ricci decomposition, Ricci curvature. His work in Ricci curvature tackles topics such as Measure which are related to areas like Scalar curvature.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Ricci curvature for metric-measure spaces via optimal transport

John Lott;Cedric Villani.
Annals of Mathematics (2009)

1188 Citations

Particle models and noncommutative geometry

Alain Connes;John Lott.
Nuclear Physics B - Proceedings Supplements (1991)

768 Citations

Notes on Perelman's papers

Bruce Kleiner;John Lott.
Geometry & Topology (2008)

659 Citations

Some geometric properties of the Bakry-Émery-Ricci tensor

John Lott.
Commentarii Mathematici Helvetici (2003)

301 Citations

Flat vector bundles, direct images and higher real analytic torsion

Jean-Michel Bismut;John Lott.
Journal of the American Mathematical Society (1995)

221 Citations

HEAT KERNELS ON COVERING SPACES AND TOPOLOGICAL INVARIANTS

John Lott.
Journal of Differential Geometry (1992)

217 Citations

Weak curvature conditions and functional inequalities

John Lott;Cédric Villani.
Journal of Functional Analysis (2007)

184 Citations

Some Geometric Calculations on Wasserstein Space

John Lott.
Communications in Mathematical Physics (2007)

182 Citations

L2-Topological invariants of 3-manifolds

John Lott;Wolfgang Lück.
Inventiones Mathematicae (1995)

155 Citations

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

John Lott.
Mathematische Annalen (2007)

142 Citations

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