Leaderboards/Spectral Theory in Mathematical Physics

Spectral Theory in Mathematical Physics

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Johan Henriksson
Commissariat à l'Énergie Atomique et aux Énergies Alternatives
2
Giulia Basti
Gran Sasso Science Institute
3
Fu-Lai Wang
Institute of Modern Physics
4
A. S. Makin
Institute of Applied Mathematics and Mechanics
5
Emilia Blåsten
Lappeenranta-Lahti University of Technology
6
R. Santana‐Carrillo
Instituto Politécnico Nacional
7
Daniel Bulmash
United States Naval Academy
8
Alexey Pavlovich Kosarev
Lomonosov Moscow State University
9
Badreddine Benhellal
Higher National Veterinary School
10
Aparajita Dasgupta
Imperial College London

Rising Stars Papers

1
Surveying the mass spectra and the electromagnetic properties of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi mathvariant="normal">Ξ</mml:mi><mml:mi>c</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>′</mml:mo><mml:mo>,</mml:mo><mml:mo>*</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msubsup><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>*</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msup></mml:math> molecular pentaquarks
Physical review. D/Physical review. D.|2024
21 cit.
2
Missing local operators, zeros, and twist-4 trajectories
Journal of High Energy Physics|2024
12 cit.
3
Upper Bound for the Ground State Energy of a Dilute Bose Gas of Hard Spheres
Archive for Rational Mechanics and Analysis|2024
9 cit.
4
The tricritical Ising CFT and conformal bootstrap
Journal of High Energy Physics|2025
9 cit.
5
On the completeness of root function system of the Dirac operator with two‐point boundary conditions
Mathematische Nachrichten|2024
8 cit.
6
Asymptotic Representations of Solutions of $$n\times n$$ Systems of Ordinary Differential Equations with a Large Parameter
Mathematical Notes|2024
6 cit.
7
Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions
Pure and Applied Analysis|2024
5 cit.
8
Spectroscopic properties of double-strangeness molecular tetraquarks
Physical review. D/Physical review. D.|2024
5 cit.
9
Асимптотические представления решений $(n \times n)$-систем обыкновенных дифференциальных уравнений с большим параметром
Математические заметки|2024
4 cit.
10
Asymptotic Expansions of Solutions to $$n \times n$$ Systems of Ordinary Differential Equations with a Large Parameter
Mathematical Notes|2024
4 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Yiran Wang
Hong Kong University of Science and Technology
2
Natalia P. Bondarenko
Peoples' Friendship University of Russia
3
Wencai Liu
University of California, Irvine
4
Selim Sukhtaiev
Rice University
5
Yan Yan. Li
Unknown
6
N. Boonsatit
Rajamangala University of Technology Isan
7
Zhiyi Wu
Guangzhou University
8
Tomohiro Ichinose
National Institute of Advanced Industrial Science and Technology
9
Alexander Adamou
London Mathematical Laboratory
10
James Lee-Thorp
Google (United States)

Emerging Leaders Papers

1
Quantitative inductive estimates for Green’sfunctions of non-self-adjoint matrices
Analysis & PDE|2022
33 cit.
2
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues
Geometric and Functional Analysis|2022
23 cit.
3
Large tunnel magnetoresistance in magnetic tunnel junctions with magnetic electrodes of metastable body-centered cubic CoMnFe alloys
Journal of Alloys and Compounds|2023
22 cit.
4
Inverse scattering for critical semilinear wave equations
Pure and Applied Analysis|2022
20 cit.
5
Linear differential operators with distribution coefficients of various singularity orders
Mathematical Methods in the Applied Sciences|2022
20 cit.
6
Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions
Mathematics|2023
20 cit.
7
New Adaptive Finite-Time Cluster Synchronization of Neutral-Type Complex-Valued Coupled Neural Networks with Mixed Time Delays
Fractal and Fractional|2022
19 cit.
8
On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form
Nonlinearity|2022
17 cit.
9
Partial Inverse Sturm-Liouville Problems
Mathematics|2023
17 cit.
10
Topics on Fermi varieties of discrete periodic Schrödinger operators
Journal of Mathematical Physics|2022
15 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Barry Simon
California Institute of Technology
2
Rainer Nagel
Sapienza University of Rome
3
L. А. Pastur
King's College London
4
J. M. Combes
Centre de Physique Théorique
5
Anton Zettl
Northern Illinois University
6
Piers Coleman
Rutgers, The State University of New Jersey
7
Maciej Zworski
University of California, Berkeley
8
Israel Michael Sigal
University of Toronto
9
Wilhelm Schlag
Yale University
10
Richard L. Wheeden
Brunswick (United States)

Current Senior Leaders Papers

1
One-parameter semigroups for linear evolution equations
Semigroup Forum|2001
3.5k cit.
2
DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
Mathematics of the USSR-Sbornik|1967
2.5k cit.
3
<i>The Kondo Problem of Heavy Fermions</i>
Physics Today|1994
2.4k cit.
4
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
Physical Review Letters|1983
1.9k cit.
5
Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions
Communications in Mathematical Physics|1971
1.4k cit.
6
New approach to the mixed-valence problem
Physical review. B, Condensed matter|1984
1.2k cit.
7
A class of analytic perturbations for one-body Schrödinger Hamiltonians
Communications in Mathematical Physics|1971
1.2k cit.
8
Schrödinger semigroups
Bulletin of the American Mathematical Society|1982
922 cit.
9
Topological Kondo Insulators
Physical Review Letters|2010
835 cit.
10
Methods of modern mathematical physics. III. Scattering theory
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)|1979
787 cit.

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