Courses in

Number Theory/Arithmetic Geometry

At Brown University

Regular Course Offerings

MA205-206 Algebraic Geometry

Theory of algebraic curves, Rieman-Roch theorem, algebraic varieties, schemes, sheaves and sheaf cohomology.

MA251-252 Algebra

Basic theory of groups, rings, fields, and modules. Topic included recently are: finite groups, representations of groups, rings with minimal condition, Galois theory, local rings, classical ideal theory, and homological algebra.

MA253-254 Number Theory

Introduction to algebraic and analytic number theory. Topics covered during the first semester include number fields, rings of integers, primes and ramification theory, completions, adeles and ideles, and zeta functions. Content of the second semester will vary from year to year. Recent topics include class field theory, arithmetic geometry, analytic number theory, and arithmetic K-theory.

Recent Topics Courses

Automorphic Forms and Double Dirichlet Series

 

Zeta Functions and Motivic Cohomology

 

The Arithmetic of Elliptic Curves

 

An Introduction to the Arithmetic Theory of Drinfeld Modules

 

The Arithmetic of Global Function Fields

 

Diophantine Geometry

 

Metaplectic Forms

 

Elliptic Curves and Complex Multiplication

 

Diophantine Geometry

 

Arithmetic of Elliptic Curves

 

Send questions and comments to: Joe Silverman (jhs@math.brown.edu)