2026 Stephen S. Kudla: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2506	2227	99	88	96	5628

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2506

2227

5628

Research.com Recognitions

2011 - Fellow of the Royal Society of Canada Academy of Science
1981 - Fellow of Alfred P. Sloan Foundation

Overview

Stephen S. Kudla is affiliated with the University of Toronto in Canada. Their research primarily spans the field of Mathematics, with a focus on several subfields including Geometry and Topology, Mathematical Physics, and Algebra and Number Theory.

The scientist's recent publications reflect a concentration on algebraic and geometric structures, particularly related to Shimura varieties and automorphic forms. Notable recent papers include:

Modularity of generating series of divisors on unitary Shimura varieties, 2020, Astérisque
Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications, 2020, Astérisque
Remarks on generating series for special cycles on orthogonal Shimura varieties, 2021, Algebra & Number Theory
Automorphic Forms, Geometry and Arithmetic, 2022, Oberwolfach Reports
On the $p$-adic uniformization of unitary Shimura curves, 2024, Mémoires de la Société mathématique de France

Frequent coauthors collaborating with this researcher include Michael Rapoport, Jan Hendrik Bruinier, Benjamin Howard, Tonghai Yang, and Thomas Zink.

The scientist publishes often in venues such as Astérisque, arXiv (Cornell University), Oberwolfach Reports, Algebra & Number Theory, and Mémoires de la Société mathématique de France.

Their main topics of work cover the following areas:

Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Analytic Number Theory Research
Algebraic structures and combinatorial models
Alkaloids: synthesis and pharmacology
Molecular spectroscopy and chirality
Advanced Topics in Algebra

Within the subfields of study, the researcher's publications show a strong emphasis on:

Geometry and Topology
Mathematical Physics
Algebra and Number Theory
Pharmacology
Spectroscopy

Stephen S. Kudla has received recognition through awards including being named a Fellow of the Royal Society of Canada in 2011 by the Academy of Science and a Fellow of the Alfred P. Sloan Foundation in 1981.

Best Publications

On the local theta-correspondence.

Stephen S. Kudla

322
Citations
A Regularized Siegel-Weil Formula: The First Term Identity

Stephen S. Kudla;Stephen Rallis

313
Citations
Splitting metaplectic covers of dual reductive pairs

Stephen S. Kudla

290
Citations
Theta dichotomy for unitary groups

Michael Harris;Stephen Kudla;William Sweet

267
Citations
Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables

Stephen S. Kudla;John J. Millson

262
Citations
Central Derivatives of Eisenstein Series and Height Pairings

Stephen S. Kudla

258
Citations
The central critical value of the triple product $L$-function

Michael Harris;Stephen S. Kudla

249
Citations
The Theta Correspondence and Harmonic Forms. II.

Stephen S. Kudla;John J. Millson

212
Citations
Algebraic cycles on Shimura varieties of orthogonal type

Stephen S. Kudla

198
Citations
Modular Forms and Special Cycles on Shimura Curves. (AM-161)

Stephen S. Kudla;Michael Rapoport;Tonghai Yang

174
Citations
Integrals of Borcherds Forms

Stephen S. Kudla

172
Citations
On the Weil-Siegel formula.

Stephen S. Kudla;Stephen Rallis

169
Citations
Modular Forms and Special Cycles on Shimura Curves.

Tonghai Yang;Stephen S. Kudla;Michael Rapoport

151
Citations
Heights and the central critical values of triple product $L$ -functions

Benedict H. Gross;Stephen S. Kudla

149
Citations
An introduction to the Langlands program

Joseph Bernstein;Stephen S. Gelbart;Daniel Bump;James W. Cogdell

149
Citations
Special cycles and derivatives of Eisenstein series

Stephen S. Kudla

115
Citations
Degenerate principal series and invariant distributions

Stephen S. Kudla;Stephen Rallis

111
Citations
Ramified degenerate principal series representations forSp(n)

Stephen S. Kudla;Stephen Rallis

111
Citations
The local Langlands correspon-dence: The non-Archimedean case

Unknown

99
Citations
On the Derivative of an Eisenstein Series of Weight One

Stephen S. Kudla;Michael Rapoport;Tonghai Yang

97
Citations
Arithmetic automorphic forms for the nonholomorphic discrete series of $GSp(2)$

Michael Harris;Stephen S. Kudla

97
Citations
NOTES ON THE LOCAL THETA CORRESPONDENCE

Stephen S. Kudla

70
Citations

Frequent Co-Authors

Michael Rapoport University of Bonn

Stephen Rallis The Ohio State University

Kathrin Bringmann University of Cologne

Yuri Tschinkel Courant Institute of Mathematical Sciences

Benedict H. Gross University of California, San Diego

Hervé Jacquet Columbia University

Daniel Bump Stanford University

External Links

Wikipedia of Stephen S. Kudla Personal website of Stephen S. Kudla

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