Research

• Publications
• Preprints
• Miscellanea

Miscellanea

• Elliptic curves: an overview
  Notes for a seminar talk giving an introductory survey to elliptic curves. Accessible to a graduate-level audience.

• Cheat sheet for elliptic curves
  Basic formulas about elliptic curves, taken from Silverman's book.

• An interesting elliptic pencil
  We exhibit a nonisotrivial pencil of genus 1 curves over the rational affine line which is generically smooth, has points over every completion, but for which no fiber has points over every completion (hence the pencil has no rational points). This construction was inspired by a question of Pete L. Clark.