John Lott | Academic Influence

John Lott 's AcademicInfluence.com Rankings

John Lott

Mathematics

#623

World Rank

#1159

Historical Rank

#274

USA Rank

Measure Theory

#846

World Rank

#1114

Historical Rank

#319

USA Rank

mathematics Degrees

Download Badge

Mathematics

John Lott 's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is John Lott Influential?

(Suggest an Edit or Addition)

According to Wikipedia, John William Lott is a professor of Mathematics at the University of California, Berkeley. He is known for contributions to differential geometry. Academic history Lott received his B.S. from the Massachusetts Institute of Technology in 1978 and M.A. degrees in mathematics and physics from University of California, Berkeley. In 1983, he received a Ph.D. in mathematics under the supervision of Isadore Singer. After postdoctoral positions at Harvard University and the Institut des Hautes Études Scientifiques, he joined the faculty at the University of Michigan. In 2009, he moved to University of California, Berkeley.

(See a Problem?)

John Lott 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Ricci curvature for metric-measure spaces via optimal transport (2004) (1222)
Notes on Perelman's papers (2006) (570)
Particle models and noncommutative geometry (1991) (486)
Some geometric properties of the Bakry-Émery-Ricci tensor (2002) (294)
Flat vector bundles, direct images and higher real analytic torsion (1995) (177)
HEAT KERNELS ON COVERING SPACES AND TOPOLOGICAL INVARIANTS (1992) (156)
Weak curvature conditions and functional inequalities (2005) (155)
On the long-time behavior of type-III Ricci flow solutions (2005) (145)
L2-topological invariants of 3-manifolds (1995) (140)
Some Geometric Calculations on Wasserstein Space (2006) (138)
THE METRIC ASPECT OF NONCOMMUTATIVE GEOMETRY (1992) (110)
An index theorem in differential $K$–theory (2009) (96)
Singular Ricci flows I (2014) (74)
Eigenvalue bounds for the Dirac operator (1986) (72)
R/Z INDEX THEORY (2002) (71)
Analytic torsion for group actions (1991) (68)
Hamilton–Jacobi semigroup on length spaces and applications (2006) (64)
Optimal transport and Perelman’s reduced volume (2008) (63)
Dimensional reduction and the long-time behavior of Ricci flow (2007) (63)
Superconnections and higher index theory (1992) (60)
Higher Eta-Invariants (1992) (58)
Geometrization of Three-Dimensional Orbifolds via Ricci Flow (2011) (55)
Collapsing and the differential form Laplacian: The case of a smooth limit space (1999) (50)
The Zero-in-the-Spectrum Question (1996) (47)
$\mathbf{R/Z}$ index theory (1994) (39)
Higher-Degree Analogs of the Determinant Line Bundle (2001) (39)
Ricci flow on three-dimensional manifolds with symmetry (2011) (38)
Mean Curvature Flow in a Ricci Flow Background (2011) (37)
Local Index Theory over Etale Groupoids (2001) (36)
Optimal Transport and Ricci Curvature for Metric- Measure Spaces (2006) (35)
Torsion constraints in supergeometry (1990) (33)
Collapsing and Dirac-Type Operators (2000) (32)
ON THE HOMOTOPY INVARIANCE OF HIGHER SIGNATURES FOR MANIFOLDS WITH BOUNDARY (1999) (31)
The index of a transverse Dirac-type operator: the case of abelian Molino sheaf (2010) (30)
Delocalized L2-Invariants☆ (1999) (30)
Ricci flow on quasi-projective manifolds (2009) (28)
On the spectrum of a finite-volume negatively-curved manifold (1999) (28)
Degrees of freedom and the quantization of anomalous gauge theories (1985) (28)
Supersymmetric path integrals (1987) (28)
Local index theory over foliation groupoids (2004) (27)
Manifolds with quadratic curvature decay and slow volume growth (1998) (25)
Diffeomorphisms and noncommutative analytic torsion (1999) (24)
L2-Cohomology of geometrically infinite hyperbolic 3-manifolds (1997) (24)
Vacuum charge and the eta function (1984) (23)
Signatures and higher signatures of $S^1$-quotients (1998) (22)
Ricci flow on quasiprojective manifolds II (2013) (22)
Locally Collapsed 3-Manifolds (2010) (20)
The Geometry of Supergravity Torsion Constraints (2001) (20)
Delocalized $L^2$-Invariants (1996) (19)
Remark about the spectrum of the p-form Laplacian under a collapse with curvature bounded below (2002) (18)
The work of Grigory Perelman (2007) (18)
THE ETA FUNCTION AND SOME NEW ANOMALIES (1984) (18)
Â-genus and collapsing (2000) (18)
Secondary Analytic Indices (1995) (17)
Index theory for scalar curvature on manifolds with boundary (2020) (17)
Remark about scalar curvature and Riemannian submersions (2005) (16)
Limit Sets as Examples in Noncommutative Geometry (2004) (15)
Collapsing and the Differential Form Laplacian : The Case of a Singular Limit Space (2002) (14)
Deficiencies of Lattice Subgroups of Lie Groups (1997) (13)
A Hilbert bundle description of differential K-theory (2015) (13)
Invariant currents on limit sets (1998) (13)
Weak curvature conditions and Poincare inequalities (2005) (12)
On noncollapsed almost Ricci-flat 4-manifolds (2016) (12)
Torus bundles and the group cohomology of GL(N,Z) (1995) (11)
Renormalization group flow for general σ-models (1986) (11)
Ricci measure for some singular Riemannian metrics (2015) (10)
Equivariant Analytic Torsion for Compact Lie Group Actions (1994) (10)
$L^2$-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds (1995) (9)
On tangent cones in Wasserstein space (2014) (9)
Collapsing with a lower bound on the curvature operator (2012) (8)
A proof of the axial anomaly (1985) (8)
Manifolds with quadratic curvature decay and fast volume growth (2001) (7)
Remark about heat diffusion on periodic spaces (1997) (7)
Collapsing in the Einstein Flow (2017) (7)
On 3-manifolds with pointwise pinched nonnegative Ricci curvature (2019) (7)
Note on asymptotically conical expanding Ricci solitons (2016) (6)
Collapsing and the Differential Form Laplacian (1999) (6)
The Yang-Mills collective-coordinate potential (1984) (6)
An intrinsic parallel transport in Wasserstein space (2017) (5)
Fibrés plats, images directes et formes de torsion analytique (1993) (5)
Kasner-like regions near crushing singularities (2020) (5)
Singular Ricci Flows II (2018) (5)
Erratum to “Delocalized L2-invariants” [J. Funct. Anal. 169 (1999) 1–31] (2004) (5)
On the initial geometry of a vacuum cosmological spacetime (2019) (5)
The Dirac Operator and Conformal Compactification (2000) (4)
Local Collapsing, Orbifolds, and Geometrization (2015) (4)
Backreaction in the future behavior of an expanding vacuum spacetime (2017) (4)
DIFFEOMORPHISMS, ANALYTIC TORSION AND NONCOMMUTATIVE GEOMETRY (1996) (4)
Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces (2020) (4)
The Index Gerbe (2001) (4)
The collapsing geometry of almost Ricci-flat 4-manifolds (2017) (4)
On tangent cones and parallel transport in Wasserstein space (2014) (3)
A Dolbeault–Hilbert complex for a variety with isolated singular points (2019) (2)
Eigenvalue estimates and differential form Laplacians on Alexandrov spaces (2017) (2)
What Can Be Done with a Mira (1977) (2)
Torus bundles and the group cohomology of ${\rm GL}(N,\bold Z)$ (1997) (1)
Geometry: Constructions and Transformations (1990) (1)
- COHOMOLOGY OF GEOMETRICALLY INFINITE HYPERBOLIC 3-MANIFOLDS (1997) (1)
Calculus of Variations Optimal transport and Perelman ’ s reduced volume (2009) (1)
Connection between nonlinear resonance and statistical behavior (1982) (1)
Corrigendum: Backreaction in the future behavior of an expanding vacuum spacetime (2018 Class. Quantum Grav. 35 035010) (2018) (1)
53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 49Q15 Geometric measure and integration theory, integral and normal currents in optimization (2022) (0)
Eigenvalue estimates and differential form Laplacians on Alexandrov spaces (2018) (0)
Classical and Quantum Gravity PAPER Kasner-like regions near crushing singularities * (2020) (0)
Superconnections and the Novikov conjecture (revised version) (1991) (0)
A-hat Genus and Collapsing (1997) (0)
Erratum: ``A proof of the axial anomaly'' (1985) (0)
Mean Curvature Flow in a Ricci Flow Background (2012) (0)
Ju n 20 02 LOCAL INDEX THEORY OVER ÉTALE GROUPOIDS (0)
SEMINAR 1 ETA AND TORSION (2002) (0)
TEXAS GEOMETRY AND TOPOLOGY CONFERENCE The 62nd meeting of the Texas Geometry and Topology Conference was held at Texas (2020) (0)
On scalar curvature lower bounds and scalar curvature measure (2021) (0)
Bosonization in curved spacetime (1986) (0)
A proof of the axial anomaly (1985) (0)
Collapsing in the Einstein Flow (2018) (0)
A spinorial quasilocal mass (2022) (0)
Effective actions and large-N limits (1985) (0)
Ricci measure for some singular Riemannian metrics (2015) (0)
The Motion Geometry of a Finite Plane (1978) (0)

This paper list is powered by the following services:

Other Resources About John Lott

en.wikipedia.org

What Schools Are Affiliated With John Lott ?

John Lott is affiliated with the following schools:

Image Attributions

Image Source for John Lott