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

# Schedule of Student Lectures

The lectures by students will be scheduled on
Fridays from 2:30 to 3:30, and start in earnest around mid-february.
Each lecture will be 30 minutes. People who are working
on similar topics are encouraged to coordinate
their efforts and prepare a one-hour presentation,
to be divided in equal halfs among the two presenters.
Everyone should speak
for 30 minutes.

Friday, February 19.

Friday, March 5.

** Alan Iny**. The infinitude of primes.

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

Friday, March 12.

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

Friday, March 19.

** Franklyn Wu**. Quadratic reciprocity.

Friday, March 26.

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

** Kenneth Chung**. Continued fractions.

Friday, April 2.

Holiday.

Friday, April 9.

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

**Collette Lemieux**. Elliptic curve cryptosystems.

**Peter Green**. p-adic continued fractions.

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

Monday, April 12.

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

**Nevena Zajko**. The Miller-Rabin Primality Test.

Wednesday, April 14.

** Shabnam Beheshti**. The sieve method.

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

**Mark Grundland.** Visualization of number theoretic patterns.

**Michael Wong**. Diophantine equations.