Leaderboards/Geometry and complex manifolds

Geometry and complex manifolds

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Anthony Ashmore
Centre National de la Recherche Scientifique
2
Jianchun Chu
Peking University
3
Tristan C. Collins
University of Toronto
4
Bin Guo
Rutgers, The State University of New Jersey
5
Haodi Chen
Australian National University
6
Fusheng Deng
Shanxi Datong University
7
Elia Brué
Bocconi University
8
Hamid Abban
Loughborough University
9
Sumanjit Sarkar
Vignan's Foundation for Science, Technology & Research
10
Daniele Angella
University of Florence

Rising Stars Papers

1
On $L^\infty$ estimates for fully non-linear partial differential equations
Annals of Mathematics|2024
18 cit.
2
Geometric Flows and Supersymmetry
Communications in Mathematical Physics|2024
13 cit.
3
Diameter estimates in Kähler geometry
Communications on Pure and Applied Mathematics|2024
12 cit.
4
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation
Journal of Differential Geometry|2024
10 cit.
5
New characterization of plurisubharmonic functions and positivity of direct image sheaves
American Journal of Mathematics|2024
9 cit.
6
Deep learning lattice gauge theories
Physical review. B./Physical review. B|2024
9 cit.
7
Green's functions and complex Monge–Ampère equations
Journal of Differential Geometry|2024
7 cit.
8
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows
Archive for Rational Mechanics and Analysis|2024
7 cit.
9
Double Veronese cones with 28 nodes
L’Enseignement Mathématique|2024
5 cit.
10
Diameter estimates in Kähler geometry II: removing the small degeneracy assumption
Mathematische Zeitschrift|2024
5 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Akram Ali
King Khalid University
2
Ziquan Zhuang
Massachusetts Institute of Technology
3
Daniele Semola
University of Vienna
4
Jingrui Cheng
University of Wisconsin–Madison
5
Sébastien Picard
University of British Columbia
6
Dhriti Sundar Patra
Indian Institute of Technology Hyderabad
7
Yuchen Liu
Northwestern University
8
Devaraja Mallesha Naik
Kuvempu University
9
Julian Scheuer
Goethe University Frankfurt
10
David Erkinger
University of Vienna

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
Shing–Tung Yau
Tsinghua University
2
Gang Tian
Peking University
3
H. Blaine Lawson
Stony Brook University
4
Cumrun Vafa
Harvard University Press
5
Shing-Tung Yau
Institute for Advanced Study
6
Xu‐Jia Wang
Westlake University
7
Cédric Villani
École Normale Supérieure de Lyon
8
Ahmed Zériahi
Centre National de la Recherche Scientifique
9
Tobias Colding
New York University
10
Wolfgang Ziller
University of Pennsylvania

Current Senior Leaders Papers

1
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.
2
Calibrated geometries
Acta Mathematica|1982
1.7k cit.
3
On the proof of the positive mass conjecture in general relativity
Communications in Mathematical Physics|1979
1.4k cit.
4
The string landscape, black holes and gravity as the weakest force
Journal of High Energy Physics|2007
1.4k cit.
5
Ricci curvature for metric-measure spaces via optimal transport
Annals of Mathematics|2009
1.3k cit.
6
On the geometry of the string landscape and the swampland
Nuclear Physics B|2006
1.2k cit.
7
Differential equations on riemannian manifolds and their geometric applications
Communications on Pure and Applied Mathematics|1975
1k cit.
8
Compactifications of F-theory on Calabi-Yau threefolds (II)
Nuclear Physics B|1996
972 cit.
9
Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
Journal of Functional Analysis|2000
963 cit.
10
On the existence of hermitian-yang-mills connections in stable vector bundles
Communications on Pure and Applied Mathematics|1986
948 cit.

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