Stephen S. Kudla

5.7k total citations
63 papers, 1.8k citations indexed

About

Stephen S. Kudla is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Stephen S. Kudla has authored 63 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Mathematical Physics, 47 papers in Geometry and Topology and 28 papers in Algebra and Number Theory. Recurrent topics in Stephen S. Kudla's work include Advanced Algebra and Geometry (52 papers), Algebraic Geometry and Number Theory (38 papers) and Advanced Mathematical Identities (15 papers). Stephen S. Kudla is often cited by papers focused on Advanced Algebra and Geometry (52 papers), Algebraic Geometry and Number Theory (38 papers) and Advanced Mathematical Identities (15 papers). Stephen S. Kudla collaborates with scholars based in United States, Canada and Germany. Stephen S. Kudla's co-authors include Stephen Rallis, Michael Rapoport, John J. Millson, Michael Harris, Tonghai Yang, Benedict H. Gross, David Soudry, Jan Hendrik Bruinier, James Cogdell and Rebecca A. Herb and has published in prestigious journals such as Physical Review A, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Stephen S. Kudla

62 papers receiving 1.5k citations

Peers

Stephen S. Kudla
Stephen Rallis United States
Hervé Jacquet United States
Stephen Gelbart United States
Michael Rapoport Germany
W. Casselman Canada
Marie‐France Vignéras France
Jan Hendrik Bruinier Germany
Gopal Prasad United States
Shrawan Kumar United States
Hans Wenzl United States
Stephen Rallis United States
Stephen S. Kudla
Citations per year, relative to Stephen S. Kudla Stephen S. Kudla (= 1×) peers Stephen Rallis

Countries citing papers authored by Stephen S. Kudla

Since Specialization
Citations

This map shows the geographic impact of Stephen S. Kudla's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Stephen S. Kudla with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stephen S. Kudla more than expected).

Fields of papers citing papers by Stephen S. Kudla

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen S. Kudla. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Stephen S. Kudla. The network helps show where Stephen S. Kudla may publish in the future.

Co-authorship network of co-authors of Stephen S. Kudla

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen S. Kudla. A scholar is included among the top collaborators of Stephen S. Kudla based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Stephen S. Kudla. Stephen S. Kudla is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kudla, Stephen S., Michael Rapoport, & Thomas Zink. (2024). On the $p$-adic uniformization of unitary Shimura curves. Mémoires de la Société mathématique de France.
2.
Kudla, Stephen S.. (2021). Remarks on generating series for special cycles on orthogonal Shimura varieties. Algebra & Number Theory. 15(10). 2403–2447. 1 indexed citations
3.
Bruinier, Jan Hendrik, Benjamin Howard, Stephen S. Kudla, Michael Rapoport, & Tonghai Yang. (2020). Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications. Astérisque. 421. 127–186. 3 indexed citations
4.
Kudla, Stephen S. & Michael Rapoport. (2018). New cases of $p$-adic uniformization. Astérisque. 2 indexed citations
5.
Bringmann, Kathrin & Stephen S. Kudla. (2017). A classification of harmonic Maass forms. Mathematische Annalen. 370(3-4). 1729–1758. 1 indexed citations
6.
Kudla, Stephen S.. (2017). Theta integrals and generalized error functions. manuscripta mathematica. 155(3-4). 303–333. 15 indexed citations
7.
Kudla, Stephen S. & Michael Rapoport. (2014). An alternative description of the Drinfeld p -adic half-plane. Annales de l’institut Fourier. 64(3). 1203–1228. 10 indexed citations
8.
Kudla, Stephen S., Michael Rapoport, & Tonghai Yang. (2004). Derivatives of Eisenstein series and Faltings heights. Compositio Mathematica. 140(4). 887–951. 40 indexed citations
9.
Kudla, Stephen S.. (2003). Integrals of Borcherds Forms. Compositio Mathematica. 137(3). 293–349. 51 indexed citations
10.
Kudla, Stephen S.. (2002). Modular forms and arithmetic geometry. 2002(1). 135–179. 10 indexed citations
11.
Kudla, Stephen S.. (2000). Derivatives of Eisenstein series and generating functions for arithmetic cycles. French digital mathematics library (Numdam). 42. 341–368. 15 indexed citations
12.
Kudla, Stephen S. & Michael Rapoport. (2000). Height pairings on Shimura curves and p-adic uniformization. Inventiones mathematicae. 142(1). 153–223. 25 indexed citations
13.
Gross, Benedict H. & Stephen S. Kudla. (1992). Heights and the central critical values of triple product $L$ -functions. Compositio Mathematica. 81(2). 143–209. 53 indexed citations
14.
Kudla, Stephen S. & John J. Millson. (1987). The theta correspondence and harmonic forms. II. Mathematische Annalen. 277(2). 267–314. 28 indexed citations
15.
Kudla, Stephen S.. (1983). Periods of integrals for $SU(n, 1)$. Compositio Mathematica. 50(1). 3–63. 3 indexed citations
16.
Kudla, Stephen S.. (1982). On the integrals of certain singular theta-functions. Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. 28(3). 439–463. 2 indexed citations
17.
Kudla, Stephen S. & John J. Millson. (1982). Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms. Compositio Mathematica. 45(2). 207–271. 18 indexed citations
18.
Kudla, Stephen S.. (1980). On certain Euler products for SU$(2, 1)$. Compositio Mathematica. 42(3). 321–344. 6 indexed citations
19.
Kudla, Stephen S.. (1978). Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms. Inventiones mathematicae. 47(2). 189–208. 12 indexed citations
20.
Kudla, Stephen S.. (1978). Theta-functions and Hilbert modular forms. Nagoya Mathematical Journal. 69. 97–106. 12 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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