- An introduction to computing modular forms using modular symbols
- Modular/Manin symbols
- Component groups of optimal quotients of Jacobians
- Component groups of quotients of J_0(N) (ANTS IV)
- Generating the Hecke algebra
- Congruences between modular forms
- Computing characteristic polynomials of Hecke operators when the weight is large

- Some Abelian Varieties with Visible Shafarevich-Tate Groups
- Table of Special Values of Modular L-functions
- Visibility of invisible Shafarevich-Tate groups (Utrecht notes, July 2000)
- Visibility of Shafarevich-Tate groups (talk notes)
- Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves

- Table of Invariants of Modular Abelian Varieties
- Table of nonmaximal orders attached to newforms
- Bounds on discriminants
- Ordinary reduction

- Coming soon.

- Visualizing Mordell-Weil Groups of elliptic curves using Shafarevich-Tate groups. This also involves constructing Sha of surprising orders.
- There are genus one curves over
**Q**of every odd index - The field generated by the points of small prime order on an elliptic curve (with Loic Merel)
- X
_{0}(389) - The first newform such that Q(a
_{n}) =/= Q(a_{1},a_{2},...) for all n