**189-346 / 377B:** Number Theory

## Project topics already chosen

**Aline Ajamian**. Dirichlet's theorem on primes in arithmetic progressions.

**Shabnam Beheshti**. Sieve methods.

**Ramon Alejandro Casanova**. Computing the zeros of the Riemann
zeta-function.

**Kareem Carr**. The theory of partitions.

**Kenneth Chung**. Continued fractions and ergodic
theory.

**Mark Grundland**. Visualising number theoretic patterns.

**Alan Iny**. The infinitude of primes from many points of view.

**Andrew Mark Ladd**. Lenstra's factorization algorithm
based on elliptic curves over finite fields.

**Patrick Lam**. The prime number theorem.

**Collette Lemieux**. Elliptic curve cryptosystems.

**Sebastian Mrosovsky**. Shor's quantum factorization algorithm.

**Benjamin Rich**. Schoof's algorithm for counting
the number of points on an elliptic curve
over a finite field.

**Dan Segal**. Bernouilli numbers and p-adic analysis.

**Michael Wong**. Diophantine equations.

** Franklin Wu**. Quadratic reciprocity.