Courses in
Number Theory/Arithmetic Geometry
At Brown University
Regular Course Offerings
 MA205206 Algebraic Geometry

Theory of algebraic curves, RiemanRoch theorem,
algebraic varieties, schemes, sheaves and sheaf cohomology.
 MA251252 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.
 MA253254 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 Ktheory.
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)