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Contact Information:

  • Name: Jim Brown
  • Title: Assistant Professor
  • Office: O-324 Martin Hall
  • Mailing Address:
    Department of Mathematical Sciences
    Clemson University
    Clemson, SC 29634
  • E-mail Address: jimlb at clemson dot edu
  • Office Phone Number: 864-656-2331

Previous Employment:

Research Information:

  • Thesis: Saito-Kurokawa Lifts, L-values for GL_2, and Congruences Between Siegel Modular Forms dvi
  • Thesis Advisor: Christopher Skinner
  • Research Interests:
    • Modular forms and applications
    • Bloch-Kato conjecture
    • Special values of L-functions
    • Iwasawa Theory
    • Galois Representations
  • My Curriculum Vitae pdf
  • Research Papers:
    • Pullbacks of Eisenstein series on U(3,3) and nonvanishing of Selmer groups (in preparation)
    • 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)
    • L-functions on GSp(4) x GL(2) and the Bloch-Kato conjecture (submitted, 26 pages) pdf
    • On the cuspidality of pullbacks of Siegel Eisenstein series and applications (submitted, 37 pages) pdf
    • Level lowering for half-integral weight modular forms with Yingkun Li (to appear Proc. Amer. Math. Soc., 4 pages) pdf
    • The first negative Hecke eigenvalue of genus 2 Siegel cuspforms with level N ≥ 1 (to appear International Journal of Number Theory, 10 pages) pdf
    • Distribution of powers of the partition function modulo l j with Yingkun Li, J. Number Theory 129, 2557-2568 (2009) pdf
    • Residually reducible representations of algebras over local Artinian rings, Proc. Amer. Math. Soc. 136 (10), 3409-3414 (2008) pdf
    • Saito-Kurokawa lifts and applications to arithmetic, Conference Proceedings of the 9th Autumn Conference on Number Theory in Hakuba Japan, 1-11 (2007) pdf
    • An inner product relation on Saito-Kurokawa lifts, The Ramanujan Journal 14 no. 1, 89-105 (2007) pdf
    • Saito-Kurokawa lifts and applications to the Bloch-Kato conjecture, Compositio Math. 143 part 2, 290-322 (2007) pdf
    • Arizona Winter School Project 2002 Variation of Hodge structure (7 pages) pdf
  • Expository Papers:
    • Notes from courses, conferences, and seminars
    • Local Class Field Theory - 97 pages pdf
    • Congruent numbers and elliptic curves - 26 pages 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
  • PANTS X
  • PANTS XII

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