Daniel Bump

from Wikipedia, the free encyclopedia

Daniel Bump (* 1952 ) is an American mathematician who studies automorphic forms, representation theory , and number theory. Bump is a professor at Stanford University .

Bump graduated from Reed College with a bachelor's degree in 1974 and received his PhD in 1982 from the University of Chicago under Walter Baily (Automorphic forms on GL (3, R)). As a post-doctoral student he was a lecturer at the University of Texas at Austin and in 1985/86 at the Institute for Advanced Study . In 1986 he became an Assistant Professor , 1990 Associate Professor and 1995 Professor at Stanford. He is a fellow of the American Mathematical Society .

Among other things, he dealt with L-functions , the metaplectic group, Whittaker functions and multiple Dirichlet series, with Toeplitz matrices, Voronoi summation formulas and precisely solvable models of statistical mechanics (Schur polynomials and Yang-Baxter equations). He also wrote software for William A. Stein's Sage Mathematical Software Project .

Fonts

  • Automorphic forms on (= Lecture Notes in Mathematics . 1083). Springer, Berlin et al. 1984, ISBN 3-540-13864-1 .
  • with Solomon Friedberg , Jeffrey Hoffstein : On some applications of automorphic forms to number theory. In: Bulletin of the American Mathematical Society . Volume 33, No. 2, 1996, pp. 157-175, doi : 10.1090 / S0273-0979-96-00654-4 .
  • Automorphic Forms and Representations (= Cambridge Studies in Advanced Mathematics. 55). Cambridge University Press, Cambridge et al. 1997, ISBN 0-521-55098-X .
  • Algebraic Geometry. World Scientific, Singapore et al. 1998, ISBN 981-023561-5 .
  • Spectral Theory and the Trace Formula. In: Joseph Bernstein , Stephen Gelbart (Eds.): Introduction to the Langlands Program. Birkhäuser, Boston MA et al. 2003, ISBN 0-8176-3211-5 , pp. 153-196, doi : 10.1007 / 978-0-8176-8226-2_8 .
  • Lie Groups (= Graduate Texts in Mathematics. 225). Springer, New York NY et al. 2004, ISBN 0-387-21154-3 .
  • with Ben Brubaker, Solomon Friedberg: Weyl group multiple Dirichlet Series.
    • Part I: with Gautam Chinta, Jeffrey Hoffstein in: Solomon Friedberg, Daniel Bump, Dorian Goldfeld , Jeffrey Hoffstein (Eds.): Multiple Dirichlet Series, Automorphic Forms, and Forms and Analytic Number Theory. Proceedings of the Bretton Woods Workshop on Multiple Dirichlet Series, Bretton Woods, New Hampshire, July 11-14, 2005 (= Proceedings of Symposia in Pure Mathematics. 75). American Mathematical Society, Providence RI 2006, ISBN 0-8218-3963-2 , pp. 91-114;
    • Part II: The stable case. In: Inventiones Mathematicae . Volume 165, No. 2, 2006, pp. 325-355, doi : 10.1007 / s00222-005-0496-2 ;
    • Part III: with Jeffrey Hoffstein: Eisenstein Series and Twisted . In: Annals of Mathematics . Series 2, Volume 166, No. 1, 2007, pp. 293-316, JSTOR 20160061 .
  • with Ben Brubaker, Solomon Friedberg: Gauss sum combinatorics and metaplectic Eisenstein series. In: David Ginzburg, Erez Lapid, David Soudry (Eds.) Automorphic forms and L-functions I. Global Aspects (= Contemporary Mathematics . 488). American Mathematical Society et al., Providence RI et al. 2009, ISBN 978-0-8218-4706-0 , pp. 61-81.
  • with Ben Brubaker, Solomon Friedberg: Eisenstein series, crystals and ice. In: Notices of the American Mathematical Society . Volume 58, No. 11, December 2011, pp. 1563-1571, ( digitized version ).
  • with Ben Brubaker, Solomon Friedberg: Schur Polynomials and the Yang-Baxter Equation. In: Communications in Mathematical Physics . Volume 308, No. 2, 2011, pp. 281-301, doi : 10.1007 / s00220-011-1345-3 .
  • with Ben Brubaker, Solomon Friedberg: Weyl Group Multiple Dirichlet Series, Eisenstein Series and Crystal Basis. In: Annals of Mathematics. Series 2, Volume 173, No. 2, 2011, pp. 1081-1120, JSTOR 29783225 .
  • with Ben Brubaker, Solomon Friedberg: Weyl group multiple Dirichlet series. Type A combinatorial theory (= Annals of Mathematical Studies. 175). Princeton University Press, Princeton NJ et al. 2011, ISBN 978-0-691-15066-6 .
  • as editor with Solomon Friedberg, Dorian Goldfeld: Multiple Dirichlet series, -functions and automorphic forms (= Progress in Mathematics. 300). Birkhäuser, Boston MA et al. 2012, ISBN 978-0-8176-8333-7 .

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Bump, Daniel
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1952