David Goldberg

Professor of Mathematics, Purdue University — Publications

Contents:
Refereed Research Publications  ·  Edited Volume  ·  Other Publications  ·  Thesis  ·  Submitted & In Progress
Refereed Research Publications
2021
27
R-groups for unitary principal series of Spin groups
with D. Ban and K. Choiy
Journal of Number Theory 225 (2021), 125–150
MR 4231546 DOI
2018
26
R-group and multiplicity in restriction for unitary principal series of GSpin and Spin
with D. Ban and K. Choiy
Geometry, Algebra, Number Theory, and their Information Technology Applications, Springer Proc. Math. Stat. 251, Springer, Cham, 2018, pp. 59–69
MR 3880383 DOI
2017
25
Local aspects of the Langlands-Shahidi method, and the theory of R-groups
Prime Numbers and Representation Theory, Lect. Series of Mod. Num. Thy. 2, Science Press, Beijing, 2017
24
Behavior of R-groups for p-adic inner forms of quasi-split special unitary groups
with K. Choiy
Bulletin of the Iranian Mathematical Society 43 (2017), no. 4, 117–141
MR 3711825
2016
23
Plancherel measures for coverings of p-adic SL2(F)
with D. Szpruch
International Journal of Number Theory 12 (2016), no. 7, 1907–1936
MR 3544420 DOI
22
Invariance of R-groups between p-adic inner forms of quasi-split classical groups
with K. Choiy
Transactions of the American Mathematical Society 368 (2016), no. 2, 1387–1410
MR 3430367 DOI
2015
21
R-groups, elliptic representations, and parameters for GSpin groups
with D. Ban
Forum Mathematicum 27 (2015), no. 6, 3301–3334
MR 3420342 DOI
20
Transfer of R-groups between p-adic inner forms of SLn
with K. Choiy
Manuscripta Mathematica 146 (2015), no. 1–2, 125–152
MR 3294420 DOI
2014
19
The tempered spectrum of quasi-split classical groups III: The odd orthogonal groups
with F. Shahidi
Forum Mathematicum 26 (2014), no. 4, 1029–1069
MR 3228925 DOI
2012
18
R-groups and parameters
with D. Ban
Pacific Journal of Mathematics 255 (2012), no. 2, 281–303
MR 2928553 DOI
2011
17
On dual R-groups for classical groups
On Certain L-functions, Clay Math. Proc. 13, Amer. Math. Soc., Providence, RI, 2011, pp. 159–185
MR 2767516
2007
16
Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups
with P. Kutzko and S. Stevens
International Mathematics Research Notices 2007, no. 22, Art. ID rnm085, 31 pp.
MR 2376206 DOI
2006
15
Reducibility for SUn and generic elliptic representations
Canadian Journal of Mathematics 58 (2006), no. 2, 344–361
MR 2209282 DOI
2005
14
Hecke algebras and SLn-types
with A. Roche
Proceedings of the London Mathematical Society (3) 90 (2005), no. 1, 87–131
MR 2107039 DOI
2002
13
Types in SLn
with A. Roche
Proceedings of the London Mathematical Society (3) 85 (2002), no. 1, 119–138
MR 1901371 DOI
2001
12
On the tempered spectrum of quasi-split classical groups II
with F. Shahidi
Canadian Journal of Mathematics 53 (2001), no. 2, 244–277
MR 1820909 DOI
1999
11
On local coefficients for non-generic representations of some classical groups
with S. Friedberg
Compositio Mathematica 116 (1999), no. 2, 133–166
MR 1686785 DOI
1998
10
On the tempered spectrum of quasi-split classical groups
with F. Shahidi
Duke Mathematical Journal 92 (1998), no. 2, 255–294
MR 1612785 DOI
1997
9
R-groups and elliptic representations for similitude groups
Mathematische Annalen 307 (1997), no. 4, 569–588
MR 1464132 DOI
8
Some results on the admissible representations of non-connected reductive p-adic groups
with R.A. Herb
Annales Scientifiques de l’École Normale Supérieure (4) 30 (1997), no. 1, 97–146
MR 1422314 DOI
1995
7
R-groups and elliptic representations for unitary groups
Proceedings of the American Mathematical Society 123 (1995), no. 4, 1267–1276
MR 1224616 PDF DOI
6
Reducibility for non-connected p-adic groups with G0 of prime index
Canadian Journal of Mathematics 47 (1995), no. 2, 344–363
MR 1335083 DOI
1994
5
Reducibility of induced representations for Sp(2n) and SO(n)
American Journal of Mathematics 116 (1994), no. 5, 1101–1151
MR 1296726 PDF DOI
4
R-groups and elliptic representations for SLn
Pacific Journal of Mathematics 165 (1994), no. 1, 77–92
MR 1285565 PDF DOI
3
Some results on reducibility for unitary groups and local Asai L-functions
Journal für die reine und angewandte Mathematik 448 (1994), 65–95
MR 1266747 PDF DOI
1993
2
Reducibility of generalized principal series representations of U(2,2) via base change
Compositio Mathematica 86 (1993), no. 3, 245–264
MR 1219627 PDF
Edited Volume
2011
E1
On Certain L-functions
co-edited with J. Arthur, J. Cogdell, S. Gelbart, D. Ramakrishnan, and J.K. Yu
Clay Mathematics Proceedings 13, American Mathematical Society / Clay Mathematics Institute, Providence, RI, 2011, viii+647 pp.
MR 2797101
Other Publications
2023
O5
JEDI Corner, The Math Alliance
with J. Hughes-Oliver, L. McClure, and J. Rojo
AMSTAT News, September 2023
O4
Johnny L. Houston Lecture Series at Purdue University
with J. Brown and R. Bañuelos
National Association of Mathematicians Quarterly Newsletter, March 2023
2022
O3
Mentoring the missing millions
with P. Seshaiyer
SIAM News, September 2022
2018
O2
The Math Alliance and its roots in the African American community
with P. Kutzko
Notices of the American Mathematical Society 65 (2018), no. 2, 127–131 [Open Access]
MR 3751307 DOI
2016
O1
Interview with David Goldberg
with H. Pollatsek
Notices of the American Mathematical Society 63 (2016), 964–966
Thesis
1991
T1
Reducibility of induced representations for classical p-adic groups
Ph.D. dissertation, University of Maryland, College Park
ProQuest LLC, Ann Arbor, MI, 1991, 191 pp.
MR 2686853 Thesis
Submitted & In Progress
S1
Smooth compact induction over p-adic fields
with D. Ban
Submitted, July 2026
Preprint
MathSciNet Author ID: 336969. 27 publications indexed in MathSciNet as of September 2026, with 363 citations in 210 publications. DOI links connect to publisher pages; PDF links connect to local copies where available. Please verify all details against MathSciNet.