Jim Brown's web page


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Contact Information:

  • Name: Jim Brown
  • Title: Olga Taussky - John Todd Instructor
  • Office: 276 Sloan
  • Mailing Address:
    Mathematics 253-37
    California Institute of Technology
    Pasadena, CA 91125
  • E-mail Address: jimlb at caltech dot edu
  • Office Phone Number: 626-395-4347

Future Employment:

  • Institution: Clemson University
  • Position: Assistant Professor
  • Years: Starting Fall 2008 (tenure-track)

Previous Employment:

Research Information:

  • Thesis: Saito-Kurokawa Lifts, L-values for GL_2, and Congruences Between Siegel Modular Forms dvi
  • Thesis Advisor: Christopher Skinner
  • OSU Postdoc Mentor: James Cogdell
  • Research Interests:
    • Modular forms and applications
    • Bloch-Kato conjecture
    • Special values of L-functions
    • Iwasawa Theory
    • Galois Representations
  • My Curriculum Vitae pdf
  • Research Papers:
    • L-functions on GSp(4) x GL(2) and the Bloch-Kato conjecture (Part II)(in progress with Bernhard Heim, will encompass part I)
    • On the cuspidality of pullbacks of Siegel Eisenstein series to GSp(m) x GSp(n) (in preparation)
    • L-values for GL(2) and congruences between Ikeda lifts (in preparation)
    • Saito-Kurokawa lifts of square-free level and non-trivial torsion in Selmer groups (in preparation)
    • The first negative Hecke eigenvalue of genus 2 Siegel cuspforms with level N ≥ 1 (10 pages) pdf
    • L-functions on GSp(4) x GL(2) and the Bloch-Kato conjecture (26 pages) pdf
    • On the cuspidality of pullbacks of Siegel Eisenstein series and applications (submitted, 37 pages) pdf
    • Residually reducible representations of algebras over local Artinian rings (to appear Proceedings of the AMS, 7 pages) pdf
    • Saito-Kurokawa lifts and applications to arithmetic (Conference Proceedings of the 9th Autumn Conference on Number Theory in Hakuba Japan, 2007, 1-11) pdf
    • An inner product relation on Saito-Kurokawa lifts (The Ramanujan Journal 14 no. 1, 89-105) pdf
    • Saito-Kurokawa lifts and applications to the Bloch-Kato conjecture (Compositio Mathematica 143 part 2, 290-322) pdf
    • Arizona Winter School Project 2002 Variation of Hodge structure (7 pages) pdf
  • Expository Papers:
    • Scanned course notes
    • Local Class Field Theory - 97 pages pdf
    • Congruent numbers and elliptic curves - 26 pages pdf
    • Alex, I will take congruent numbers for one million dollars please - 14 pages (submitted) pdf
    • Introductory Iwasawa Theory Notes - 102 pages pdf (I am aware of some mistakes here, so use at your own risk)
    • Complex Theory of Abelian Varieties - 11 pages pdf
    • Abel and the Insolvability of the Quintic - 13 pages pdf
    • Algebraic Number Theory Course Notes (these probably won't be done until I teach this course..)
  • Travel Schedule

Teaching Information: