Introduction

Classical modular forms are functions on the complex upper half plane which transform in a certain way under the action of integral Mobius transformations. In spite of their somewhat pedestrian definition, modular forms may be variously viewed as: Modular forms and their generalizations appear throughout geometry and number theory.

This course develops the classical theory of complex modular forms and curves, and selectively visits some of its recent applications.

Logistics

The course meets MWF10-10:50 in Weber 130.

Requirements

For much of the semester, homework will be posted weekly. It is expected that for each problem set you will at least look at every problem, and hand in (or be prepared to present) two problems.

Help

Questions directed to j.achter@colostate.edu will be answered swiftly. Office hours will be listed here.