Leaderboards/Analytic Number Theory Research

Analytic Number Theory Research

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
H. Davenport
Unknown
2
P. Erdős
Unknown
3
Ashay Burungale
The University of Texas at Austin
4
Moritz Walden
Uppsala University
5
Gal Raayoni
Technion – Israel Institute of Technology
6
Manjul Bhargava
Princeton University
7
Chunli Li
Zhoukou Normal University
8
T. Kim
Kwangwoon University
9
Christoph Aistleitner
Graz University of Technology
10
RC Vaughan
Imperial College London

Rising Stars Papers

1
Probabilistic Bernoulli and Euler Polynomials
Russian Journal of Mathematical Physics|2024
46 cit.
2
Generalization of Spivey’s Recurrence Relation
Russian Journal of Mathematical Physics|2024
26 cit.
3
Moment Representations of Fully Degenerate Bernoulli and Degenerate Euler Polynomials
Russian Journal of Mathematical Physics|2024
19 cit.
4
Explicit Formulas for Probabilistic Multi-Poly-Bernoulli Polynomials and Numbers
Russian Journal of Mathematical Physics|2024
16 cit.
5
Spivey-Type Recurrence Relations for Degenerate Bell and Dowling Polynomials
Russian Journal of Mathematical Physics|2025
12 cit.
6
Heterogeneous Stirling Numbers and Heterogeneous Bell Polynomials
Russian Journal of Mathematical Physics|2025
11 cit.
7
Galois groups of random integer polynomials and van der Waerden's Conjecture
Annals of Mathematics|2025
6 cit.
8
Anticyclotomic Iwasawa theory of abelian varieties of GL2-type at non-ordinary primes
Advances in Mathematics|2024
6 cit.
9
Evaluating Infinite Series Involving Harmonic Numbers by Integration
Mathematics|2024
5 cit.
10
Gauss’ Second Theorem for F12(1/2)-Series and Novel Harmonic Series Identities
Mathematics|2024
5 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
John Richard Rhodes
Durham University
2
Dazhao Tang
Chongqing Normal University
3
Will Sawin
Princeton University
4
Rupam Barman
Indian Institute of Technology Guwahati
5
Bibekananda Maji
Indian Institute of Technology Indore
6
Hyunseok Lee
Gyeongguk National University
7
Ce Xu
Xiamen University
8
Asif Zaman
University of Toronto
9
Mingbing Yue
Shanghai University
10
Joni Teräväinen
University of Cambridge

Emerging Leaders Papers

1
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$
Annals of Mathematics|2022
15 cit.
2
Some properties on degenerate Fubini polynomials
Applied Mathematics in Science and Engineering|2022
15 cit.
3
Dirichlet type extensions of Euler sums
Comptes Rendus Mathématique|2023
14 cit.
4
Free rational curves on low degree hypersurfaces and the circle method
Algebra & Number Theory|2023
12 cit.
5
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh
International Journal of Number Theory|2023
12 cit.
6
Multiplicative functions in short arithmetic progressions
Proceedings of the London Mathematical Society|2023
11 cit.
7
On the Möbius function in all short intervals
Journal of the European Mathematical Society|2022
10 cit.
8
Möbius cancellation on polynomial sequences and the quadratic Bateman–Horn conjecture over function fields
Inventiones mathematicae|2022
10 cit.
9
Alternating multiple T-values: weighted sums, duality, and dimension conjecture
The Ramanujan Journal|2023
10 cit.
10
Subconvexity for GL(3)×GL(2) twists
Advances in Mathematics|2022
10 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
László Lovász
Alfréd Rényi Institute of Mathematics
2
Peter Sarnak
Stanford University
3
Henryk Iwaniec
Rutgers, The State University of New Jersey
4
Terence Tao
University of California, Los Angeles
5
Igor E. Shparlinski
UNSW Sydney
6
Ken Ono
Emory University
7
K. Soundararajan
Stanford University
8
H. M. Srivastava
University of Victoria
9
Carl Pomerance
Dartmouth College
10
Gérald Tenenbaum
Institut Élie Cartan de Lorraine

Current Senior Leaders Papers

1
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
IEEE Transactions on Information Theory|2006
15.8k cit.
2
Decoding by Linear Programming
IEEE Transactions on Information Theory|2005
7.3k cit.
3
Stable signal recovery from incomplete and inaccurate measurements
Communications on Pure and Applied Mathematics|2006
7.2k cit.
4
Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
IEEE Transactions on Information Theory|2006
6.9k cit.
5
Factoring polynomials with rational coefficients
Mathematische Annalen|1982
4k cit.
6
The Power of Convex Relaxation: Near-Optimal Matrix Completion
IEEE Transactions on Information Theory|2010
2.1k cit.
7
Endpoint Strichartz estimates
American Journal of Mathematics|1998
2.1k cit.
8
On the Shannon capacity of a graph
IEEE Transactions on Information Theory|1979
1.7k cit.
9
Random Walks on Graphs: A Survey
Unknown Journal|2001
1.4k cit.
10
On the ratio of optimal integral and fractional covers
Discrete Mathematics|1975
1.1k cit.

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