Leaderboards/Advanced Algebra and Geometry

Advanced Algebra and Geometry

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Yichul Choi
Simons Center for Geometry and Physics
2
Álvaro Antón‐Sancho
Catholic University of Ávila
3
Tzu-Chen Huang
Fermi National Accelerator Laboratory
4
Yalong Cao
University of Oxford
5
Jarod Alper
University of Washington
6
Davesh Maulik
Princeton University
7
Lue Pan
Princeton University
8
Chi Li
Rutgers Sexual and Reproductive Health and Rights
9
Ashay Burungale
The University of Texas at Austin
10
Sebastian Pögel
Paul Scherrer Institute

Rising Stars Papers

1
Self-duality under gauging a non-invertible symmetry
Journal of High Energy Physics|2024
39 cit.
2
Quantization of Axion-Gauge Couplings and Noninvertible Higher Symmetries
Physical Review Letters|2024
34 cit.
3
Non-invertible and higher-form symmetries in 2+1d lattice gauge theories
SciPost Physics|2025
31 cit.
4
Hydrogen Revolution in Europe: Bibliometric Review of Industrial Hydrogen Applications for a Sustainable Future
Energies|2024
18 cit.
5
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.
6
Logarithmic Donaldson–Thomas theory
Forum of Mathematics Pi|2024
13 cit.
7
Self-dualities and Galois symmetries in Feynman integrals
Journal of High Energy Physics|2024
12 cit.
8
Noninvertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra
Physical Review Letters|2024
12 cit.
9
Algebraic uniqueness of Kähler–Ricci flowlimits and optimal degenerations of Fano varieties
Geometry & Topology|2024
9 cit.
10
Higgs Pairs with Structure Group $$E_6$$ over a Smooth Projective Connected Curve
Results in Mathematics|2025
9 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Martijn Kool
Utrecht University
2
Xiaolei Zhao
University of California, Santa Barbara
3
Sahand Seifnashri
Simons Center for Geometry and Physics
4
Will Sawin
Princeton University
5
Keerthi Madapusi Pera
Boston College
6
Roberto Svaldi
University of Milan
7
Andrey Smirnov
University of North Carolina at Chapel Hill
8
Andrzej Pokraka
University of Amsterdam
9
Sho Tanimoto
Nara Women's University
10
Asif Zaman
University of Toronto

Emerging Leaders Papers

1
Quantum difference equation for Nakajima varieties
Inventiones mathematicae|2022
84 cit.
2
Cluster State as a Noninvertible Symmetry-Protected Topological Phase
Physical Review Letters|2024
64 cit.
3
Duals of Feynman Integrals. Part II. Generalized unitarity
Journal of High Energy Physics|2022
56 cit.
4
Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries
SciPost Physics|2024
46 cit.
5
Cosmology meets cohomology
Journal of High Energy Physics|2024
44 cit.
6
Twisted cubics on cubic fourfolds and stability conditions
Algebraic geometry|2023
41 cit.
7
Loop-by-loop differential equations for dual (elliptic) Feynman integrals
Journal of High Energy Physics|2023
39 cit.
8
Geometric consistency of Manin's conjecture
Compositio Mathematica|2022
38 cit.
9
On the connectedness principle and dual complexes for generalized pairs
Forum of Mathematics Sigma|2023
28 cit.
10
Stability conditions and moduli spaces forKuznetsov components of Gushel–Mukai varieties
Geometry & Topology|2022
21 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Don Zagier
University of Maryland, College Park
2
Peter Sarnak
Stanford University
3
L. А. Pastur
King's College London
4
Harold Widom
University of California, Santa Cruz
5
Rahul Pandharipande
California Institute of Technology
6
Yuji Tachikawa
The University of Tokyo
7
Van Vu
Trường ĐH Nguyễn Tất Thành
8
Richard Taylor
Harvard University
9
Freydoon Shahidi
Purdue University West Lafayette
10
Henryk Iwaniec
Rutgers, The State University of New Jersey

Current Senior Leaders Papers

1
DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
Mathematics of the USSR-Sbornik|1967
2.5k cit.
2
Level-spacing distributions and the Airy kernel
Communications in Mathematical Physics|1994
1.9k cit.
3
Liouville Correlation Functions from Four-Dimensional Gauge Theories
Letters in Mathematical Physics|2010
1.6k cit.
4
Ring-Theoretic Properties of Certain Hecke Algebras
Annals of Mathematics|1995
1k cit.
5
Ramanujan graphs
COMBINATORICA|1988
1k cit.
6
Heegner points and derivatives ofL-series
Inventiones mathematicae|1986
972 cit.
7
Stoichiometric depolymerization of polyuronides and glycosaminoglycuronans to monosaccharides following reduction of their carbodiimide-activated carboxyl group
Biochemistry|1972
885 cit.
8
On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
Journal of the American Mathematical Society|2001
788 cit.
9
Localization of virtual classes
Inventiones mathematicae|1999
743 cit.
10
The Euler characteristic of the moduli space of curves
Inventiones mathematicae|1986
721 cit.

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