Solomon Friedberg

Solomon Friedberg (born September 26, 1958 in New York City ) is an American mathematician who deals with automorphic forms, representation theory and number theory.

Friedberg graduated from the University of California, San Diego , with a bachelor's degree summa cum laude in 1978 and received his doctorate in 1982 from the University of Chicago under Harold Stark (Theta functions, liftings and generalized Hilbert modular forms). From 1982 to 1985 he was Benjamin Peirce Lecturer at Harvard University and from 1985 Assistant Professor, 1987 Associate Professor and 1989 Professor at the University of California, Santa Cruz . In 1996 he became a professor at Boston College , where he had headed the mathematics faculty since 2007.

Among other things, he was visiting scholar and visiting professor at Brown University , at the Institute for Advanced Study (1999), at Columbia University (1990/91 as Sloan Research Fellow ), at the Max Planck Institute for Mathematics in Bonn (1990), on MSRI (1994), at the IBM Almaden Research Center, at the Hebrew University , at the Tata Institute of Fundamental Research (1988), at the IHES (1985/86), at the Technical University of Ankara and at the Weizmann Institute . He is a fellow of the American Mathematical Society .

He worked with, among others, Ben Brubaker and Daniel Bump , with whom he also investigated connections between automorphic forms and statistical mechanics. They examined Dirichlet series in several variables, which cannot be represented by Euler products like the Langlands L functions, but by generalizations of Euler products (twisted Euler products). The corresponding Dirichlet series are constructed with Weyl groups and they are assigned automorphic forms to metaplectic superposition of algebraic groups.

Fonts

• with Hervé Jacquet : The fundamental lemma of the Shalika subgroup of GL (4) , American Mathematical Society 1996
• as editor Multiple Dirichlet series, automorphic forms, and analytic number theory (Bretton Woods Workshop on Multiple Dirichlet Series 2005), American Mathematical Society 2006
• Editor with Daniel Bump , Dorian Goldfeld Multiple Dirichlet series, L-functions and automorphic forms , Birkhäuser 2012
• with Ben Brubaker, Daniel Bump Weyl group multiple Dirichlet series: Type A combinatorial theory , Annals of Mathematical Studies 175, Princeton University Press 2011
• with Bump, Jeffrey Hoffstein On some applications of modular forms to number theory , Bulletin AMS, Volume 33, 1996, 157-175, online
• with Brubaker, Bump Weyl group multiple Dirichlet Series , part I (with Chinta, Hoffstein) in: Bump u. a .: Multiple Dirichlet Series, Automorphic Forms and Analytic Number Theory, Proc. Symp. Pure Math., AMS, 2006, pp. 91-114, Part II, Inv. Math., Volume 165, 2006, pp. 325-355, Part III (with Hoffstein), Annals of Mathematics, Volume 166, 2007, pp. 293-316
• with Brubaker, Bump Weyl Group Multiple Dirichlet Series, Eisenstein Series and Crystal Basis , Annals of Mathematics, Volume 173, 2011, pp. 1081–1120
• with Brubaker, Bump Gauss sum combinatorics and metaplectic Eisenstein series , in Ginzburg, Lapid, Soudry (Eds.) Automorphic forms and L-functions I: Global Aspects , Contemporary Mathematics, Volume 488, 2009, pp. 61–81
• with Brubaker, Bump Schur Polynomials and the Yang-Baxter Equation , Comm. Math. Phys., Volume 308, 2011, pp. 281-301
• with Bump, Brubaker Eisenstein series, crystals and ice , Notices AMS, December 2011, Online

Web links

• Homepage

Individual evidence

1. ^ Mathematics Genealogy Project
2. ↑ Friedberg Euler products and twisted Euler products , Lecture Guangzhou 2007, pdf ( Memento of the original from June 13, 2010 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.