at the

American Institute of Mathematics, San Jose, California

organized by

Hendrik Lenstra, Carl Pomerance, and Jonathan Pila

The workshop schedule.

A report on the workshop activities.

**Lecture Notes:**

- Agrawal: Primality Testing
- Agrawal: Finding Quadratic Nonresidues
- Bernstein: Proving Primality After Agrawal-Kayal-Saxena
- Edixhoven: Point Counting
- Gao: Factoring Polynomials under GRH
- Kedlaya: Counting Points using p-adic Cohomology
- Lauder: Counting Points over Finite Fields
- Lenstra: Primality Testing with Pseudofields
- Pomerance and Bleichenbacher: Constructing Finite Fields
- Silverberg: Applications of Algebraic Tori to Crytography
- Stein: Modular Forms Database
- Voloch: Multiplicative Subgroups of a Finite Field
- Wan: Partial Counting of Rational Points over Finite Fields