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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.