Math 689 (Section 601) -- Spring 2009

Modular forms

Tuesday & Thursday 11:10-12:25
Location TBA


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
  • Hecke operators
  • Petersson's trace formula
  • Analytic properties of Hecke L-functions
  • Estimation of Fourier coefficients
  • Additional topics as time permits

Course Information:

Instructor: Dr. Matthew Young

Office Hours: Tuesday 1:00-3:00, Thursday 9:00-10:00

Office: 225 Milner

E-mail: myoung (at) math dot tamu d0t edu

Textbook: The suggested textbook is Introduction to Elliptic Curves and Modular Forms, 2nd Ed., by Neal Koblitz, Springer GTM.  I will borrow material from various sources and will not strictly follow this text.

Course Syllabus: We plan to cover the entire textbook, introducing further topics if time permits.

Prerequisite: Basic complex analysis.  

Course Webpage: /~myoung/classes/689spring2009.html


Your final grade will be determined by class participation.

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 the Department of Student Life, Disability Services Office, in Room B118 of Cain Hall or call 845-1637. Their website is If you believe you have a disability requiring accomodation, you should contact this office several weeks in advance of an exam or assignment.

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 neo e-mail accounts.

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