Math 662 (Section 600) -- Fall 2017

Modular forms

Tuesday & Thursday 11:10-12:25
Location BLOC 506A

Course Description:

This is a first course in modular forms.   Topics we will cover this semester include
  • The modular group and congruence subgroups
  • Eisenstein and Poincare series
  • Fourier expansions
  • Hecke operators
  • Petersson's trace formula
  • Analytic properties of Hecke L-functions
  • Estimation of Fourier coefficients
  • Theta functions and quadratic forms
  • Additional topics as time permits

Course Information:

Instructor: Dr. Matthew Young

Office Hours: Tuesday 1:00-3:00, Thursday 10:00-11:00

Office: Blocker 641-G


Textbook: The textbook is A First Course in Modular Forms by Diamond and Shurman, and Iwaniec's Topics in classical automorphic forms is recommended.  I will borrow material from various sources and will not strictly follow any one text.

Course Syllabus: We plan to cover the topics listed in the course description, introducing further topics if time permits.

Prerequisite: Basic complex analysis, group theory (group actions, cosets, etc.), and willingness to learn elementary number theory as needed.


Your final grade will be determined by class participation, homework, and a final exam. Each component contributes to your grade as follows:







Final exam


The following grade distribution will be used in determining final course grades:


Percentage of Total Points












Homework will be collected roughly once per week for a grade.

Course Policies:

Missed Work: Making up missed work (including missed exams, quizzes, and homework) will be arranged according to University policies only. A university approved excuse must be provided to the instructor in writing (e-mail is sufficient) within 1 working day for exams and within 2 working days for other work.

Academic Dishonesty:

“An Aggie does not lie, cheat, or steal or tolerate those who do.”

It is not permissible to hand in the work of others for a grade, including work on exams, quizzes, and homework. You are allowed to discuss homework with others, but your write-ups are expected to be done on your own and in your own words. Copying the work of others will be prosecuted to the full extent possible under University policies.

Cheating during an exam will be sanctioned by assigning 0 points on the exam. Further action will be taken in agreement with Texas A&M University Student Rules on Academic Honesty and the Aggie Honor System Code.

Disability Assistance:

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call
979-845-1637. For additional information, visit

Copyright information: All printed handouts and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.

Contact information: Course announcements may occasionally be made via e-mail (e.g. in case of a change to office hours or to correct potential errors in homework problem sets).  Students should regularly check their TAMU e-mail accounts.

Page maintained by Matt Young, Dept. of Mathematics, Texas A&M University.