Leaderboards/Geometric Analysis and Curvature Flows

Geometric Analysis and Curvature Flows

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Gioacchino Antonelli
University of Notre Dame
2
Elia Brué
Bocconi University
3
Tristan C. Collins
University of Toronto
4
Jianchun Chu
Peking University
5
Bin Guo
Rutgers, The State University of New Jersey
6
Haodi Chen
Australian National University
7
A. DE A. Mendonça Thiago
Universidade Federal Rural de Pernambuco
8
Henry Cohn
Microsoft (United States)
9
Hamid Abban
Loughborough University
10
Sumanjit Sarkar
Vignan's Foundation for Science, Technology & Research

Rising Stars Papers

1
On $L^\infty$ estimates for fully non-linear partial differential equations
Annals of Mathematics|2024
18 cit.
2
Diameter estimates in Kähler geometry
Communications on Pure and Applied Mathematics|2024
12 cit.
3
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation
Journal of Differential Geometry|2024
10 cit.
4
Green's functions and complex Monge–Ampère equations
Journal of Differential Geometry|2024
7 cit.
5
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows
Archive for Rational Mechanics and Analysis|2024
7 cit.
6
Double Veronese cones with 28 nodes
L’Enseignement Mathématique|2024
5 cit.
7
Diameter estimates in Kähler geometry II: removing the small degeneracy assumption
Mathematische Zeitschrift|2024
5 cit.
8
Subgraphs of BV functions on RCD spaces
Annals of Global Analysis and Geometry|2024
4 cit.
9
The rank-one theorem on RCD spaces
Analysis & PDE|2024
4 cit.
10
The Strominger system in the square of a Kähler class
Pure and Applied Mathematics Quarterly|2025
4 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Yoav Zemel
University of Göttingen
2
Akram Ali
King Khalid University
3
Yiming Zhao
Syracuse University
4
David G. Ebin
Stony Brook University
5
Daniele Semola
University of Vienna
6
Rıdvan Cem Demi̇rkol
Muş Alparslan University
7
Ziquan Zhuang
Massachusetts Institute of Technology
8
Tianqi Wu
Harvard University
9
Julian Scheuer
Goethe University Frankfurt
10
Wuchen Li
Macau University of Science and Technology

Emerging Leaders Papers

1
Finite generation for valuations computing stability thresholds and applications to K-stability
Annals of Mathematics|2022
105 cit.
2
Traversable wormhole solutions in the f (R) theories of gravity under the Karmarkar condition*
Chinese Physics C|2022
61 cit.
3
K-stability of Fano varieties via admissible flags
Forum of Mathematics Pi|2022
53 cit.
4
Geometry of conformal <i>η</i>-Ricci solitons and conformal <i>η</i>-Ricci almost solitons on paracontact geometry
Open Mathematics|2022
44 cit.
5
Stellar structure modeling in Ricci-inverse gravity with Tolman–Kuchowicz spacetime
Chinese Journal of Physics|2023
44 cit.
6
Boundary regularity and stability for spaces with Ricci bounded below
Inventiones mathematicae|2022
39 cit.
7
Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces
Mathematics|2022
36 cit.
8
Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
Mathematische Annalen|2023
31 cit.
9
Ricci Soliton of CR-Warped Product Manifolds and Their Classifications
Symmetry|2023
30 cit.
10
A fully-nonlinear flow and quermassintegral inequalities in the sphere
Pure and Applied Mathematics Quarterly|2022
29 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
James A. Sethian
Lawrence Berkeley National Laboratory
2
Shing–Tung Yau
Tsinghua University
3
Cédric Villani
École Normale Supérieure de Lyon
4
Xu‐Jia Wang
Westlake University
5
Joel Spruck
Brooklyn College
6
Paul Yang
Princeton University
7
Gang Tian
Peking University
8
H. Blaine Lawson
Stony Brook University
9
William P. Minicozzi
Johns Hopkins University
10
Luc Vrancken
Université Polytechnique Hauts-de-France

Current Senior Leaders Papers

1
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics|1988
13.9k cit.
2
A fast marching level set method for monotonically advancing fronts.
Proceedings of the National Academy of Sciences|1996
3.2k cit.
3
On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I
Communications on Pure and Applied Mathematics|1978
2.5k cit.
4
Calibrated geometries
Acta Mathematica|1982
1.7k cit.
5
Fast Marching Methods
SIAM Review|1999
1.5k cit.
6
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
Communications on Pure and Applied Mathematics|1989
1.3k cit.
7
A Fast Level Set Method for Propagating Interfaces
Journal of Computational Physics|1995
1.3k cit.
8
Global and local behavior of positive solutions of nonlinear elliptic equations
Communications on Pure and Applied Mathematics|1981
1.3k cit.
9
Ricci curvature for metric-measure spaces via optimal transport
Annals of Mathematics|2009
1.3k cit.
10
Structural Boundary Design via Level Set and Immersed Interface Methods
Journal of Computational Physics|2000
1.3k cit.

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