Leaderboards/Advanced Operator Algebra Research

Advanced Operator Algebra Research

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Laurens Lootens
University of Cambridge
2
Thomas Bartsch
University of Oxford
3
Ionuţ Chifan
University of Iowa
4
Thibault D. Décoppet
Harvard University
5
Marco Benini
Istituto Nazionale di Fisica Nucleare, Sezione di Genova
6
James Gabe
University of Southern Denmark
7
Parthiv Haldar
Indian Institute of Science Bangalore
8
Becky Armstrong
Lawrence Berkeley National Laboratory
9
Ramon Antoine
Universitat Autònoma de Barcelona
10
Tixuan Tan
University of Hong Kong

Rising Stars Papers

1
Non-invertible symmetries and higher representation theory I
SciPost Physics|2024
75 cit.
2
Dualities in One-Dimensional Quantum Lattice Models: Topological Sectors
PRX Quantum|2024
69 cit.
3
Non-invertible symmetries and higher representation theory II
SciPost Physics|2024
57 cit.
4
Parent Berry Curvature and the Ideal Anomalous Hall Crystal
Physical Review X|2024
34 cit.
5
The dynamical Kirchberg–Phillips theorem
Acta Mathematica|2024
18 cit.
6
Low-Depth Unitary Quantum Circuits for Dualities in One-Dimensional Quantum Lattice Models
Physical Review Letters|2025
10 cit.
7
Variational Wave-Function Analysis of the Fractional Anomalous Hall Crystal
Physical Review Letters|2025
10 cit.
8
Entanglement and the density matrix renormalization group in the generalized Landau paradigm
Nature Physics|2025
10 cit.
9
Finite semisimple module 2-categories
Selecta Mathematica|2024
9 cit.
10
Examples of property (T) II1 factors with trivial fundamental group
American Journal of Mathematics|2024
8 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Benno S. Rem
Universität Hamburg
2
Justin Kulp
Simons Center for Geometry and Physics
3
Nicolai Stammeier
University of Oslo
4
Moritz Weber
Saarland University
5
Dominic Verdon
University of Oxford
6
Mateusz Wasilewski
KU Leuven
7
Jianchao Wu
Fudan University
8
Eli Shamovich
Technion – Israel Institute of Technology
9
Xinan Zhou
Stony Brook University
10
Changjing Li
University of Science and Technology of China

Emerging Leaders Papers

1
Selected topics in analytic conformal bootstrap: A guided journey
Physics Reports|2022
92 cit.
2
Supersymmetric Five-Point Gluon Amplitudes in AdS Space
Physical Review Letters|2022
40 cit.
3
Nonlinear Mixed Jordan Triple $ * $-Derivations on $ * $-Algebras
Siberian Mathematical Journal|2022
25 cit.
4
Six-point AdS gluon amplitudes from flat space and factorization
Physical Review Research|2024
20 cit.
5
Spinning correlators in $$ \mathcal{N} $$ = 2 SCFTs: Superspace and AdS amplitudes
Journal of High Energy Physics|2023
16 cit.
6
Quantum Cuntz-Krieger algebras
Transactions of the American Mathematical Society Series B|2022
15 cit.
7
Yangian Symmetry in Holographic Correlators
Physical Review Letters|2022
12 cit.
8
Highly compressible and macro-porous hydrogels via the synergy of cryogelation and double-network for efficient removal of Cr(VI)
International Journal of Biological Macromolecules|2023
12 cit.
9
A covariant Stinespring theorem
Journal of Mathematical Physics|2022
11 cit.
10
Defect two-point functions in 6D (2,0) theories
Physical review. D/Physical review. D.|2024
11 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Albert Schwarz
University of California, Davis
2
Fedor Sukochev
Flinders University
3
Guoliang Yu
Texas A&M University
4
Jerzy Lewandowski
University of Warsaw
5
Stefaan Vaes
KU Leuven
6
Mikael Rørdam
University of Copenhagen
7
Henri Moscovici
The Ohio State University
8
Georges Skandalis
Délégation Paris 7
9
John E. Roberts
University at Buffalo, State University of New York
10
Aidan Sims
University of Newcastle Australia

Current Senior Leaders Papers

1
Background independent quantum gravity: a status report
Classical and Quantum Gravity|2004
2k cit.
2
The quantum structure of spacetime at the Planck scale and quantum fields
Communications in Mathematical Physics|1995
1.4k cit.
3
Noncommutative geometry and Matrix theory
Journal of High Energy Physics|1998
1.4k cit.
4
Noncommutative Geometry and Matrix Theory: Compactification on Tori
arXiv (Cornell University)|1997
1.3k cit.
5
Quantum theory of geometry: I. Area operators
Classical and Quantum Gravity|1997
859 cit.
6
Spacetime quantization induced by classical gravity
Physics Letters B|1994
826 cit.
7
Mathematical structure of loop quantum cosmology
Advances in Theoretical and Mathematical Physics|2003
774 cit.
8
Local observables and particle statistics II
Communications in Mathematical Physics|1974
589 cit.
9
The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space
Inventiones mathematicae|2000
580 cit.
10
Quantum theory of geometry II: Volume operators
Advances in Theoretical and Mathematical Physics|1997
574 cit.

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