Leaderboards/Advanced Topology and Set Theory

Advanced Topology and Set Theory

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
P. Erdős
Unknown
2
B. H. Neumann
Unknown
3
Yoshito Ishiki
Tokyo Metropolitan University
4
Benjamin Bakker
University of Georgia
5
Maddalena Bonanzinga
University of Messina
6
Tom Benhamou
Rutgers Sexual and Reproductive Health and Rights
7
Fernando Albiac
University of Missouri
8
Shadi Ali Ahmad
New York University
9
Amlan Banaji
University of St Andrews
10
A. Kertész
Unknown

Rising Stars Papers

1
Crossed product algebras and generalized entropy for subregions
SciPost Physics Core|2024
38 cit.
2
Quantum reference frames from top-down crossed products
Physical review. D/Physical review. D.|2024
22 cit.
3
Intermediate dimensions of Bedford–McMullen carpets with applications to Lipschitz equivalence
Advances in Mathematics|2024
15 cit.
4
Semifinite von Neumann algebras in gauge theory and gravity
Physical review. D/Physical review. D.|2025
13 cit.
5
Relational quantum geometry
Nuclear Physics B|2025
10 cit.
6
Polynomial Fourier decay for fractal measures and their pushforwards
Mathematische Annalen|2025
6 cit.
7
COFINAL TYPES OF ULTRAFILTERS OVER MEASURABLE CARDINALS
Journal of Symbolic Logic|2024
5 cit.
8
Emergent geometry from quantum probability
Physical review. D/Physical review. D.|2025
5 cit.
9
Twenty-five years of greedy bases
Journal of Approximation Theory|2024
4 cit.
10
On some selective star Lindelöf-type properties
Mathematica Slovaca|2025
4 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
W. T. Gowers
Collège de France
2
Yixiao Qiao
South China Normal University
3
Sebastien Vasey
Harvard University Press
4
Juan-Vicente Llinares
Universidad de Murcia
5
Yumeng Ou
Massachusetts Institute of Technology
6
H. Hanani
Unknown
7
Yan-Kui Song
Nanjing Normal University
8
Donald Robertson
University of Cambridge
9
Daniel Wessel
LMU Klinikum
10
Wenbo Sun
Virginia Tech

Emerging Leaders Papers

1
On a limit theorem in combinatorical analysis
Publicationes Mathematicae Debrecen|2022
93 cit.
2
Entropy-based fluid–solid–thermal coupled wear prediction of journal bearing during repeated starting and stopping
Wear|2023
30 cit.
3
On a conjecture of Marton
Annals of Mathematics|2025
12 cit.
4
Infinite sumsets in sets with positive density
Journal of the American Mathematical Society|2023
10 cit.
5
Decomposition of multicorrelation sequences and joint ergodicity
Ergodic Theory and Dynamical Systems|2023
9 cit.
6
CELLULAR CATEGORIES AND STABLE INDEPENDENCE
Journal of Symbolic Logic|2022
7 cit.
7
Mean dimension of product spaces: a fundamental formula
Mathematische Annalen|2022
7 cit.
8
A proof of Erdős’s 𝐵+𝐵+𝑡 conjecture
Communications of the American Mathematical Society|2024
7 cit.
9
Categoricity and multidimensional diagrams
Journal of the European Mathematical Society|2024
5 cit.
10
Finite point configurations and the regular value theorem in a fractal setting
Indiana University Mathematics Journal|2022
4 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Saharon Shelah
Hebrew University of Jerusalem
2
Vojtěch Rödl
Emory University
3
Stevo Todorčević
Serbian Academy of Sciences and Arts
4
John R. Steel
University of Derby
5
Xiangdong Ye
University of Science and Technology of China
6
Theodore A. Slaman
University of California, Berkeley
7
Menachem Magidor
Hebrew University of Jerusalem
8
Benny Sudakov
ETH Zurich
9
Anand Pillay
Liverpool John Moores University
10
Bryna Kra
Northwestern University

Current Senior Leaders Papers

1
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence|1990
1.7k cit.
2
What does a conditional knowledge base entail?
Artificial Intelligence|1992
838 cit.
3
Modified failure mode and effects analysis using approximate reasoning
Reliability Engineering & System Safety|2003
579 cit.
4
A combinatorial problem; stability and order for models and theories in infinitary languages
Pacific Journal of Mathematics|1972
500 cit.
5
Nonconventional ergodic averages and nilmanifolds
Annals of Mathematics|2005
480 cit.
6
On a Packing and Covering Problem
European Journal of Combinatorics|1985
414 cit.
7
Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups
Geometric and Functional Analysis|2005
393 cit.
8
Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I
Annals of Mathematics|1988
362 cit.
9
Definable sets in ordered structures. I
Transactions of the American Mathematical Society|1986
333 cit.
10
The Monadic Theory of Order
Annals of Mathematics|1975
323 cit.

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