Math Department Faculty

Solomon Friedberg

Professor, McIntyre Endowed Chair

Selected publications

(with B. Brubaker, V. Buciumas, and D. Bump) Hecke modules from metaplectic ice, preprint.Ìý For a pdf, .Ìý Also on the arxiv, .

(with Y. Cai, D. Ginzburg, and E. Kaplan) Doubling constructions for covering groups and tensor product L-functions, preprint (66 pgs).Ìý Research announcement on the arxiv, .

(with D. Ginzburg) Theta functions on covers of symplectic groups, to appear in Automorphic Forms, L-functions and Number Theory, a special issue of BIMS in honor of Prof. Freydoon Shahidi's 70th birthday.Ìý Preprint (Version 2, February 17, 2016) .Ìý Also on the arxiv (slightly older version), .

(with D. Ginzburg) Descent and theta functions for metaplectic groups, to appear in the Journal of the European Mathematical Society (JEMS).Ìý Please note that the on-line version of July 2015 is significantly revised from and supersedes the earlier version. Available and (arxiv) .

The contributions of mathematics °¬¿ÉÖ±²¥to K-12 education: a department chair’s perspective, to appear in Mathematics Matters in Education - Essays in Honor of Roger E. Howe (Li, Lewis, Madden, eds.), Springer.

(with D. Ginzburg)Ìý On the genericity of Eisenstein series and their residues for covers of GLm, International Mathematics Research Notices (IMRN) 2017(4) (2017), 1000-1012. Article here. For a pdf, .Ìý Also on the arxiv, . DOI: 10.1093/imrn/rnw042.

(with L. Zhang) Tokuyama-type formulas for type B,Ìý Israel Journal of Mathematics 216(2) (2016), 617-655.Ìý For a pdf, .Ìý Also on the arxiv, .Ìý DOI 10.1007/s11856-016-1422-6.

(with D. Ginzburg) Criteria for the existence of cuspidal theta representations, Research in Number Theory 2(1) (2016), 1-16.Ìý Article .Ìý Also on the arxiv (older version), . DOI 10.1007/s40993-016-0046-6.
Ìý
(with B. Brubaker, D. Bump) Matrix coefficients and Iwahori-Hecke algebra modules, Advances in Mathematics 299 (2016), 247-271. For a pdf, . Also on the arxiv, .Ìý DOI: 10.1016/j.aim.2016.05.012.

(with B. Brubaker) Whittaker coefficients of metaplectic Eisenstein series,Ìý Geometric and Functional Analysis (GAFA) 25(4) (2015), 1180-1239. Available on-line . For a pdf, .Ìý Supplementary calculations .Ìý Also on the arxiv (slightly older version), .Ìý DOI: 10.1007/s00039-015-0329-4.

(with L. Zhang), Eisenstein series on covers of odd orthogonal groups, American Journal of Mathematics 137 (2015), 953-1011. For a pdf, click .Ìý Also on the arxiv, . DOI: 10.1353/ajm.2015.003.

(with D. Ginzburg) Metaplectic theta functions and global integrals, Journal of Number Theory 146 (2015),Ìý 134-149 (special issue in memory of Steve Rallis).Ìý For a pdf, click .Ìý Also on the arxiv, .Ìý DOI:10.1016/j.jnt.2014.04.001.

(with B. Brubaker, D. Bump) Unique functionals and representations of Hecke algebras, Pacific Journal of Mathematics 260(2) (2012), 381-394. (This is the issue in memory of Jonathan Rogawski.)Ìý For a .pdf, click . DOI 10.2140/pjm.2012.260.381.

, edited by D. Bump, S. Friedberg and D. Goldfeld, Progress in Mathematics, Vol. 300, Birkhäuser °¬¿ÉÖ±²¥, 2012.

(with B. Brubaker, D. Bump, G. Chinta and P. E. Gunnells) Metaplectic ice, in: Multiple Dirichlet Series, L-Functions and Automorphic Forms (Bump, Friedberg, and Goldfeld, eds.), Progress in Mathematics, Vol. 300, Birkhäuser °¬¿ÉÖ±²¥ 2012, pp. 65-92. For a .pdf of the preprint, click .Ìý Also on the arxiv, . DOI: 10.1007/978-0-8176-8334-4.

(with G. Chinta, J. Hoffstein) Double Dirichlet series and theta functions, in:Ìý (Blomer, Mihăilescu, eds.), Springer Proceedings in Math., Vol. 9, Springer, 2012, pp.149-170.Ìý For a .pdf, click .

(with B. Brubaker, D. Bump and J. Hoffstein), Coefficients of the n-fold theta function and Weyl group multiple Dirichlet series, in:Ìý (Blomer, Mihăilescu, eds.), Springer Proceedings in Math., Vol. 9, Springer, 2012, pp. 83-95.Ìý For a .pdf, click .

Teaching teachers:Ìý roles for mathematicians (Preparando profesores: el papel de los matemáticos),Ìý Pensamiento Educativo, Revista de Investigación Educacional Latinoamericana 49(1) (2012), 32-39.Ìý For the article, click .

(with B. Brubaker, D. Bump) Eisenstein series, crystals and ice, Notices of the American Mathematical Society 58 (2011), 1563-1571.Ìý For a .pdf click .

(with B. Brubaker, D. Bump), Schur polynomials and the Yang-Baxter equation, Communications in Mathematical Physics 308 (2011), 281-301.Ìý For a .pdf file, click .Ìý Also on the arxiv, .

(with B. Brubaker, D. Bump), Weyl group multiple Dirichlet series, Eisenstein series and crystal bases, Annals of Mathematics 173 (2011), 1081-1120.Ìý For a .pdf file, click .

(with B. Brubaker, D. Bump), Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory,Ìý , Princeton University Press, 2011.Ìý For a .pdf file (137 pages) of an earlier version of the manuscript, click .Ìý A good deal has been added since then.

Euler products and twisted Euler products, in: (Ji, Liu, Yau and Zheng, eds.), Advanced Lectures in Mathematics, Vol. 9,Ìý International Press, 2010, pp. 176--198.Ìý Published jointly by International Press and by Higher Education Press of China.Ìý For a .pdf file, click .