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
 


Go To Number Theory/Arithmetic Geometry Home Page.
Go To Mathematics Department Home Page

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