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
Kenneth Chung. Continued fractions.
Friday, April 2.
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.