Leaderboards/Algebraic Geometry and Number Theory

Algebraic Geometry and Number Theory

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Benjamin Bakker
University of Georgia
2
Álvaro Antón‐Sancho
Catholic University of Ávila
3
Yalong Cao
University of Oxford
4
Tom Bachmann
University of Duisburg-Essen
5
Hamid Abban
Loughborough University
6
Davesh Maulik
Princeton University
7
Arend Bayer
University of Edinburgh
8
Kilian Bönisch
Max Planck Society
9
Krzysztof Kapulkin
University of Pittsburgh
10
Ashay Burungale
The University of Texas at Austin

Rising Stars Papers

1
The desingularization of the theta divisor of a cubic threefold as a moduli space
Geometry & Topology|2024
19 cit.
2
Hydrogen Revolution in Europe: Bibliometric Review of Industrial Hydrogen Applications for a Sustainable Future
Energies|2024
18 cit.
3
Fixed Points of Involutions of G-Higgs Bundle Moduli Spaces over a Compact Riemann Surface with Classical Complex Structure Group
Frontiers of Mathematics|2024
15 cit.
4
Logarithmic Donaldson–Thomas theory
Forum of Mathematics Pi|2024
13 cit.
5
Higgs Pairs with Structure Group $$E_6$$ over a Smooth Projective Connected Curve
Results in Mathematics|2025
9 cit.
6
A construction of Shatz strata in the polystable $ G_2 $-bundles moduli space using Hecke curves
Electronic Research Archive|2024
7 cit.
7
Evaluating Solutions to Marine Plastic Pollution
Environments|2025
7 cit.
8
Anticyclotomic Iwasawa theory of abelian varieties of GL2-type at non-ordinary primes
Advances in Mathematics|2024
6 cit.
9
Quantitative analysis of the use of virtual reality environments among higher education professors
Smart Learning Environments|2024
6 cit.
10
Double Veronese cones with 28 nodes
L’Enseignement Mathématique|2024
5 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Ziquan Zhuang
Massachusetts Institute of Technology
2
Xiaolei Zhao
University of California, Santa Barbara
3
Martijn Kool
Utrecht University
4
Sho Tanimoto
Nara Women's University
5
Roberto Svaldi
University of Milan
6
Christoph Nega
Technical University of Munich
7
Giovanni Staglianò
University of Catania
8
Will Sawin
Princeton University
9
Jingrui Cheng
University of Wisconsin–Madison
10
Adeel A. Khan
Institute of Mathematics, Academia Sinica

Emerging Leaders Papers

1
Finite generation for valuations computing stability thresholds and applications to K-stability
Annals of Mathematics|2022
105 cit.
2
Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives
Journal of High Energy Physics|2022
84 cit.
3
K-stability of Fano varieties via admissible flags
Forum of Mathematics Pi|2022
53 cit.
4
Twisted cubics on cubic fourfolds and stability conditions
Algebraic geometry|2023
41 cit.
5
Geometric consistency of Manin's conjecture
Compositio Mathematica|2022
38 cit.
6
On the connectedness principle and dual complexes for generalized pairs
Forum of Mathematics Sigma|2023
28 cit.
7
Stability conditions and moduli spaces forKuznetsov components of Gushel–Mukai varieties
Geometry & Topology|2022
21 cit.
8
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
Advances in Mathematics|2022
20 cit.
9
Virtual Segre and Verlinde numbers of projective surfaces
Journal of the London Mathematical Society|2022
16 cit.
10
The existence of the Kähler–Ricci soliton degeneration
Forum of Mathematics Pi|2023
16 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Rahul Pandharipande
California Institute of Technology
2
Shing–Tung Yau
Tsinghua University
3
Matthew Franklin
University of Sheffield
4
Don Zagier
University of Maryland, College Park
5
Richard Taylor
Harvard University
6
Gang Tian
Peking University
7
Bernd Sturmfels
Berkeley College
8
Angelo Vistoli
Scuola Normale Superiore
9
Richard Thomas
Imperial College London
10
Robert Lazarsfeld
University of Michigan–Ann Arbor

Current Senior Leaders Papers

1
Identity-Based Encryption from the Weil Pairing
SIAM Journal on Computing|2003
3.6k cit.
2
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.
3
Ring-Theoretic Properties of Certain Hecke Algebras
Annals of Mathematics|1995
1k cit.
4
Differential equations on riemannian manifolds and their geometric applications
Communications on Pure and Applied Mathematics|1975
1k cit.
5
Heegner points and derivatives ofL-series
Inventiones mathematicae|1986
972 cit.
6
On the existence of hermitian-yang-mills connections in stable vector bundles
Communications on Pure and Applied Mathematics|1986
948 cit.
7
Stoichiometric depolymerization of polyuronides and glycosaminoglycuronans to monosaccharides following reduction of their carbodiimide-activated carboxyl group
Biochemistry|1972
885 cit.
8
Kähler-Einstein metrics with positive scalar curvature
Inventiones mathematicae|1997
874 cit.
9
Calabi's conjecture and some new results in algebraic geometry
Proceedings of the National Academy of Sciences|1977
798 cit.
10
On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
Journal of the American Mathematical Society|2001
788 cit.

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