Stephen Gelbart

2.5k total citations
36 papers, 1.3k citations indexed

About

Stephen Gelbart is a scholar working on Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Stephen Gelbart has authored 36 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Mathematical Physics, 15 papers in Geometry and Topology and 14 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Stephen Gelbart's work include Advanced Algebra and Geometry (30 papers), Finite Group Theory Research (14 papers) and Algebraic Geometry and Number Theory (13 papers). Stephen Gelbart is often cited by papers focused on Advanced Algebra and Geometry (30 papers), Finite Group Theory Research (14 papers) and Algebraic Geometry and Number Theory (13 papers). Stephen Gelbart collaborates with scholars based in United States and Israel. Stephen Gelbart's co-authors include Hervé Jacquet, Ilya Piatetski-Shapiro, Anthony W. Knapp, Stephen Rallis, Jonathan David Rogawski, Freydoon Shahidi, Stephen D. Miller, Erez Lapid, David Soudry and Paul Sally and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Stephen Gelbart

34 papers receiving 984 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Stephen Gelbart United States	15	1.2k	830	668	402	96	36	1.3k
W. Casselman Canada	16	1.1k 0.9×	861 1.0×	408 0.6×	374 0.9×	94 1.0×	22	1.1k
Hervé Jacquet United States	20	1.4k 1.2×	971 1.2×	842 1.3×	572 1.4×	113 1.2×	39	1.5k
Stephen S. Kudla United States	26	1.8k 1.5×	1.5k 1.8×	778 1.2×	503 1.3×	89 0.9×	63	1.8k
Marie‐France Vignéras France	14	932 0.8×	916 1.1×	302 0.5×	281 0.7×	109 1.1×	38	1.1k
I. N. Bernstein Russia	5	680 0.6×	773 0.9×	405 0.6×	352 0.9×	33 0.3×	6	965
Takuro Shintani Japan	12	662 0.6×	531 0.6×	499 0.7×	191 0.5×	163 1.7×	19	914
Michael Rapoport Germany	24	1.6k 1.4×	1.7k 2.0×	381 0.6×	296 0.7×	76 0.8×	58	1.8k
Gopal Prasad United States	19	1.1k 0.9×	1.0k 1.2×	232 0.3×	348 0.9×	76 0.8×	54	1.2k
Frederick M. Goodman United States	13	528 0.5×	541 0.7×	467 0.7×	177 0.4×	70 0.7×	36	794
N. Spaltenstein Switzerland	12	789 0.7×	783 0.9×	320 0.5×	356 0.9×	15 0.2×	26	926

Countries citing papers authored by Stephen Gelbart

Since Specialization

Citations

This map shows the geographic impact of Stephen Gelbart'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 Gelbart with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stephen Gelbart more than expected).

Fields of papers citing papers by Stephen Gelbart

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen Gelbart. 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 Gelbart. The network helps show where Stephen Gelbart may publish in the future.

Co-authorship network of co-authors of Stephen Gelbart

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen Gelbart. A scholar is included among the top collaborators of Stephen Gelbart 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 Gelbart. Stephen Gelbart is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Gelbart, Stephen, Erez Lapid, & Peter Sarnak. (2004). A new method for lower bounds of L-functions. Comptes Rendus Mathématique. 339(2). 91–94. 14 indexed citations

Gelbart, Stephen & Stephen D. Miller. (2003). Riemann’s zeta function and beyond. Bulletin of the American Mathematical Society. 41(1). 59–112. 29 indexed citations

Gelbart, Stephen, Hervé Jacquet, & Jonathan David Rogawski. (2001). Generic representations for the unitary group in three variables. Israel Journal of Mathematics. 126(1). 173–237. 14 indexed citations

Gelbart, Stephen. (1996). Lectures on the Arthur-Selberg Trace Formula. arXiv (Cornell University). 14 indexed citations

Gelbart, Stephen & Jonathan David Rogawski. (1991). L-functions and Fourier-Jacobi coefficients for the unitary group U(3). Inventiones mathematicae. 105(1). 445–472. 22 indexed citations

Gelbart, Stephen, Ilya Piatetski-Shapiro, & Stephen Rallis. (1987). Explicit Constructions of Automorphic L-Functions. Lecture notes in mathematics. 118 indexed citations

Gelbart, Stephen & David Soudry. (1987). On Whittaker models and the vanishing of Fourier coefficients of cusp forms. Proceedings of the Indian Academy of Sciences - Section A. 97(1-3). 67–74. 2 indexed citations

Gelbart, Stephen & Anthony W. Knapp. (1982). L-indistinguishability and R groups for the special linear group. Advances in Mathematics. 43(2). 101–121. 70 indexed citations

Gelbart, Stephen & Ilya Piatetski-Shapiro. (1980). Distinguished representations and modular forms of half-integral Weight. Inventiones mathematicae. 59(2). 145–188. 40 indexed citations

10.

Gelbart, Stephen, Roger Howe, & Ilya Piatetski-Shapiro. (1979). Uniqueness and existence of Whittaker models for the metaplictic group. Israel Journal of Mathematics. 34(1-2). 21–37. 12 indexed citations

11.

Gelbart, Stephen & Ilya Piatetski-Shapiro. (1978). Automorphic L -functions of half-integral weight. Proceedings of the National Academy of Sciences. 75(4). 1620–1623. 3 indexed citations

12.

Gelbart, Stephen & Hervé Jacquet. (1978). A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$. Annales Scientifiques de l École Normale Supérieure. 11(4). 471–542. 314 indexed citations

13.

Gelbart, Stephen. (1976). Elliptic curves and automorphic representations. Advances in Mathematics. 21(3). 235–292. 12 indexed citations

14.

Gelbart, Stephen. (1976). Weil’s Representation and the Spectrum of the Metaplectic Group. Lecture notes in mathematics. 82 indexed citations

15.

Gelbart, Stephen & Hervé Jacquet. (1976). A relation between automorphic forms on GL (2) and GL (3). Proceedings of the National Academy of Sciences. 73(10). 3348–3350. 21 indexed citations

16.

Gelbart, Stephen. (1975). Automorphic forms on Adele groups. 157 indexed citations

17.

Gelbart, Stephen. (1975). Automorphic forms and representations of Adele groups. Medical Entomology and Zoology. 1 indexed citations

18.

Gelbart, Stephen. (1975). Automorphic Forms on Adele Groups. (AM-83). Princeton University Press eBooks. 87 indexed citations

19.

Gelbart, Stephen. (1974). A theory of Stiefel harmonics. Transactions of the American Mathematical Society. 192(0). 29–50. 16 indexed citations

20.

Choquet, Gustave, et al.. (1969). Integration and topological vector spaces. 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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