Allan J. Silberger

733 citations

32 papers · 397 indexed · h-index 10

Mathematical Physics top 2%
Geometry and Topology top 2%
Discrete Mathematics and Combinatorics top 5%
Algebra and Number Theory top 10%
Artificial Intelligence

Co-authors: Samuel Pierre D. J. Lewis Roger Howe Bernard S. Epstein Louis Auslander Allen L. Gorin Roger T. Howe
Topics: Advanced Algebra and Geometry (27 papers)Algebraic Geometry and Number Theory (18 papers)advanced mathematical theories (14 papers)
Cited by: Discrete Mathematics and Combinatorics Mathematical Physics Geometry and Topology
Journals: Annals of Mathematics Lecture notes in mathematics Transactions of the American Mathematical Society
Partner nations: United States Germany

In The Last Decade

Allan J. Silberger

30 papers receiving 327 citations

Peers

Countries citing papers authored by Allan J. Silberger

Since Specialization

Citations

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

Fields of papers citing papers by Allan J. Silberger

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Allan J. Silberger. 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 Allan J. Silberger. The network helps show where Allan J. Silberger may publish in the future.

Co-authorship network of co-authors of Allan J. Silberger

This figure shows the co-authorship network connecting the top 25 collaborators of Allan J. Silberger. A scholar is included among the top collaborators of Allan J. Silberger 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 Allan J. Silberger. Allan J. Silberger 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

#	Work	Indexed citations
1	Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73 2015 ·Princeton University Press eBooks ·Allan J. Silberger	6
2	Explicit Shintani base change and the Macdonald correspondence for characters of GLn(k) 2008 ·Journal of Algebra ·Allan J. Silberger,(unknown)	3
3	Weak Explicit Matching for Level Zero Discrete Series of Unit Groups of 𝔭-Adic Simple Algebras 2003 ·Canadian Journal of Mathematics ·Allan J. Silberger,(unknown)	5
4	Level Zero Types and Hecke Algebras for Local Central Simple Algebras 2001 ·Journal of Number Theory ·(unknown),Allan J. Silberger,(unknown)	13
5	The characters of the generalized Steinberg representations of finite general linear groups on the regular elliptic set 2000 ·Transactions of the American Mathematical Society ·Allan J. Silberger,(unknown)	9
6	Harish-Chandra’s Plancherel theorem for 𝔭-adic groups 1996 ·Transactions of the American Mathematical Society ·Allan J. Silberger	5
7	Some consequences of Harish-Chandra’s submersion principle 1993 ·Proceedings of the American Mathematical Society ·(unknown),Allan J. Silberger	4
8	Computing the Two-Dimensional Discrete Fourier Transform on the ASPEN Parallel Computer Architecture. 1987 ·Proceedings of the International Conference on Parallel Processing ·Allen L. Gorin,Allan J. Silberger,Louis Auslander	3
9	Asymptotics and integrability properties for matrix coefficients of admissible representations of reductive p-adic groups 1982 ·Journal of Functional Analysis ·Allan J. Silberger	1
10	Discrete Series and Classification for p-Adic Groups I 1981 ·American Journal of Mathematics ·Allan J. Silberger	13
11	Complementary Series for p-Adic Groups. I 1980 ·Transactions of the American Mathematical Society ·Allan J. Silberger	1
12	Special Representations of Reductive -Adic Groups are not Integrable 1980 ·Annals of Mathematics ·Allan J. Silberger	57
13	Isogeny Restrictions of Irreducible Admissible Representations are Finite Direct Sums of Irreducible Admissible Representations 1979 ·Proceedings of the American Mathematical Society ·Allan J. Silberger	3
14	Isogeny restrictions of irreducible admissible representations are finite direct sums of irreducible admissible representations 1979 ·Proceedings of the American Mathematical Society ·Allan J. Silberger	10
15	The Knapp-Stein dimension theorem for 𝑝-adic groups 1978 ·Proceedings of the American Mathematical Society ·Allan J. Silberger	35
16	Any Unitary Principal Series Representation of GL n over a p-Adic Field is Irreducible 1976 ·Proceedings of the American Mathematical Society ·Roger T. Howe,Allan J. Silberger	0
17	Why any unitary principal series representation of 𝑆𝐿_{𝑛} over a 𝑝-adic field decomposes simply 1975 ·Bulletin of the American Mathematical Society ·Roger Howe,Allan J. Silberger	6
18	Algebraic Theory of Numbers. 1972 ·American Mathematical Monthly ·D. J. Lewis,Samuel Pierre,Allan J. Silberger	67
19	PGL2 over the p-adics: its Representations, Spherical Functions, and Fourier Analysis 1970 ·Lecture notes in mathematics ·Allan J. Silberger	36
20	An elementary construction of the representations of SL(2,GF(q)) 1969 ·Osaka Journal of Mathematics ·Allan J. Silberger	9

About Allan J. Silberger

Allan J. Silberger is a scholar working on Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics, having authored 32 papers that have together received 397 indexed citations. Recurring topics across this work include Advanced Algebra and Geometry (27 papers), Algebraic Geometry and Number Theory (18 papers) and advanced mathematical theories (14 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (128 citations), Mathematical Physics (330 citations) and Geometry and Topology (295 citations). Allan J. Silberger has collaborated with scholars based in United States and Germany. Frequent co-authors include Samuel Pierre, D. J. Lewis, Roger Howe, Bernard S. Epstein, Louis Auslander, Allen L. Gorin and Roger T. Howe. Their work appears in journals such as Annals of Mathematics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

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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