David Helm

University of Texas at Austin
Office: RLM 9.118
Office Hours: Mon 2-4

Teaching

Math 427L (Spring 2008)
Math 328K (Fall 2007)

Curriculum Vitae

Research Statement

Papers

  1. Bass numbers of Semigroup-Graded Local Cohomology (With Ezra Miller), Pacific Journal of Math. 209, no. 1 (2003), 41-66.   Official version
  2. Algorithms for graded injective resolutions and local cohomology over semigroup rings (with Ezra Miller), Journal of Symbolic Computation, 39, no. 3-4 (2005), 373-395.  
  3. Jacobians of Shimura curves and Jacquet-Langlands Correspondences (Thesis)
  4. On maps between modular Jacobians and Jacobians of Shimura curves, Israel J. Math., to appear.
  5. A geometric Jacquet-Langlands correspondence for U(2) Shimura varieties (Submitted)
  6. Towards a geometric Jacquet-Langlands correspondence for unitary Shimura varieties
  7. Mazur's principle for U(2,1) Shimura varieties (Submitted)