[McGill] [Math.Mcgill] [Back]

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.

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.