Leaderboards/Advanced Topics in Algebra

Advanced Topics in Algebra

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Oscar Fuentealba
Université Libre de Bruxelles
2
Wei Bu
Maxwell Institute for Mathematical Sciences
3
Behrooz Fadaee
University of Kurdistan
4
Chengming Bai
Nankai University
5
M. E. Goncharov
Novosibirsk State University
6
Adam Bzowski
Institute of Physics
7
Thomas Bartsch
University of Oxford
8
Sebastian Pögel
Paul Scherrer Institute
9
Ionuţ Chifan
University of Iowa
10
Zhong-Ying Fan
Guangzhou University

Rising Stars Papers

1
Non-invertible symmetries and higher representation theory I
SciPost Physics|2024
75 cit.
2
Non-invertible symmetries and higher representation theory II
SciPost Physics|2024
57 cit.
3
Renormalisation of IR divergences and holography in de Sitter
Journal of High Energy Physics|2024
27 cit.
4
Fast magnetic reconnection in Kerr spacetime
Physical review. D/Physical review. D.|2024
13 cit.
5
Self-dualities and Galois symmetries in Feynman integrals
Journal of High Energy Physics|2024
12 cit.
6
Magnetic reconnection under centrifugal and gravitational electromotive forces
Physical review. D/Physical review. D.|2025
10 cit.
7
Examples of property (T) II1 factors with trivial fundamental group
American Journal of Mathematics|2024
8 cit.
8
The unequal-mass three-loop banana integral
Journal of High Energy Physics|2026
7 cit.
9
Handbook of derivative AdS amplitudes
Journal of High Energy Physics|2024
6 cit.
10
Logarithmic matching between past infinity and future infinity: The massless scalar field in Minkowski space
Journal of High Energy Physics|2025
6 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Ying-Hsuan Lin
Harvard University
2
Apoorv Tiwari
University of Copenhagen
3
Panyue Zhou
Changsha University of Science and Technology
4
Curtis Wendlandt
University of Saskatchewan
5
Vijaya Venkateswaran
TKL Research
6
Changjing Li
University of Science and Technology of China
7
Bruno Leonardo Macedo Ferreira
Universidade Tecnológica Federal do Paraná
8
Rong Tang
Jilin University
9
Suat Koç
Marmara University
10
Robert McRae
Tsinghua University

Emerging Leaders Papers

1
Non-invertible higher-categorical symmetries
SciPost Physics|2023
217 cit.
2
Asymptotic density of states in 2d CFTs with non-invertible symmetries
Journal of High Energy Physics|2023
129 cit.
3
Non-invertible symmetry webs
SciPost Physics|2023
90 cit.
4
Tensor Categories for Vertex Operator Superalgebra Extensions
Memoirs of the American Mathematical Society|2024
85 cit.
5
Higher categorical symmetries and gauging in two-dimensional spin systems
SciPost Physics|2024
61 cit.
6
Bootstrapping noninvertible symmetries
Physical review. D/Physical review. D.|2023
60 cit.
7
Words to describe a black hole
Journal of High Energy Physics|2023
53 cit.
8
Topological field theory with Haagerup symmetry
Journal of Mathematical Physics|2022
37 cit.
9
Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation
Journal of Noncommutative Geometry|2022
34 cit.
10
Gluing vertex algebras
Advances in Mathematics|2022
33 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Nathan Seiberg
Institute for Advanced Study
2
Nicolai Reshetikhin
Beijing Institute of Mathematical Sciences and Applications
3
Victor G. Kač
Massachusetts Institute of Technology
4
Sergei Silvestrov
Mälardalen University
5
Michel Van den Bergh
Max Planck Society
6
Dirk Kreimer
Humboldt-Universität zu Berlin
7
Andrzej Skowroński
Nicolaus Copernicus University
8
Ping Xu
Soochow University
9
John C. Moore
Southern Illinois University Edwardsville
10
Mikhail Zaicev
Moscow State University

Current Senior Leaders Papers

1
Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
Nuclear Physics B|1994
3.8k cit.
2
Lie superalgebras
Advances in Mathematics|1977
1.9k cit.
3
Electric-magnetic duality in supersymmetric non-Abelian gauge theories
Nuclear Physics B|1995
1.8k cit.
4
On the Structure of Hopf Algebras
Annals of Mathematics|1965
1.6k cit.
5
Invariants of 3-manifolds via link polynomials and quantum groups
Inventiones mathematicae|1991
1.6k cit.
6
Classical and quantum conformal field theory
Communications in Mathematical Physics|1989
1.4k cit.
7
Noncommutative perturbative dynamics
Journal of High Energy Physics|2000
1.3k cit.
8
Ribbon graphs and their invaraints derived from quantum groups
Communications in Mathematical Physics|1990
1.1k cit.
9
Remarks on the canonical quantization of the Chern-Simons-Witten theory
Nuclear Physics B|1989
934 cit.
10
Symmetries and strings in field theory and gravity
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology|2011
906 cit.

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