Publications and preprints

Papers

• There are genus one curves of every index over every infinite, finitely generated field (with Pete L. Clark). To appear in
  • Journal für die reine und angewandte Mathematik

• Splitting fields of some genus one curves (in preparation)

Expository papers

• There are no elliptic curves over Q with torsion points of order 11

Slides

• On the index of genus one curves (Thesis defense)
• The period-index problem on elliptic curves, Lichtenbaum (Oral exam)
• The 15 Theorem (UGA Student Number Theory Seminar, July 2011)