**Math
6110 (Topics in automorphic forms)
Spring 2016,
UNT **

**Lecture: **GAB 461, MW 11:00-12:20pm

**Instructor: **Professor
Olav Richter

**Office:**GAB 418 B**Office hours:**MW 10:00-11:00am, F 10:00-12:00pm, and by appointment**Phone:**565-4352**email:**richter@unt.edu

**Course Description: **Math 6110 is intended for
all graduate students in
mathematics. We will cover *selected*
topics
in automorphic forms. A solid background in complex analysis is
required and some basic
knowledge in
group theory will be helpful. Topics include: The modular group and its
subgroups, elliptic functions, modular forms (including the discussion
of various
examples), Hecke-Petersson
theory, and theta series.

**Textbook:** You
do *not*
have to
buy a textbook for this class, since we will not follow a particular
textbook
very closely. A large portion of the material that we will cover can be
found
for example in the following books:

**Title:**Modular Functions and Dirichlet Series in Number Theory**Author:**Tom M. Apostol**Publisher:**Springer

**Title:**Elliptic modular forms and their applications in**Author:**Don Zagier**Publisher:**Springer

There is also an excellent book by Koecher and Krieg that contains most of the material that we will cover. It has the slight (!) disadvantage that it is written in German:

**Title:**Elliptische Funktionen und Modulfunktionen**Author:**Max Koecher and Aloys Krieg**Publisher:**Springer