Courses
Each year, the following one semester courses are offered:
- Math
453, Elementary Theory of Numbers (upper undergraduate
level)
- Math
530, Algebraic Number Theory (beginning graduate course)
- Math 531, Analytic Theory of Numbers, I (beginning graduate course)
In addition, at least four topics courses are also offered each year, with student input helping to determine the choice of the topics courses. In recent years, enrollment in these courses has been excellent, typically ranging from 10 to 23. We list below some of the topics courses taught in the past six years:
- Algebraic: Class field theory, Advanced topics in
the arithmetic of elliptic curves, Elliptic curves by computer, Galois
properties of points of finite order on elliptic curves, Galois module
theory, Fermat's last theorem, Galois representations, Arithmetic of
elliptic curves, Algebraic number theory, and Computer algebra systems.
- Analytic: Methods of classical analysis, Asymptotic methods in analysis, Circle method, Riemann zeta-function, Multiplicative number theory, Analytic and probabilistic number theory, Special functions, Continued fractions, Diophantine approximation, Ramanujan's lost notebook, Elliptic functions with applications to number theory, Modular forms with applications to number theory, Theory of partitions, Transcendental number theory, Gauss and Jacobi sums, Combinatorial number theory, Diophantine problems, Uniform distribution, and Distribution of sequences in number theory.