Math 788B: Introduction to Modular Forms


2:30 - 3:20 pm MWF, LeConte 310


Fall 2006


University of South Carolina

  Instructor:     Matthew Boylan
  Office:     LeConte 400G  
  Phone:     777-8874  
  E-mail:     boylan@math.sc.edu  
  Office Hours:     By appointment.  

  • University of South Carolina Mathematics Department .

    • Course information:

  • Content : This course introduces the theory of modular forms, beginning with basic definitions and examples. Later on, we will discuss applications to number theory, and when appropriate, open problems. We will follow Chapters III and IV of Koblitz' book (which are mostly independent of Chapters I and II). This material will be supplemented by other sources as needed. For more information, see course description.

  • Text : Koblitz, Introduction to Elliptic Curves and Modular Forms,
    2nd ed., Springer-Verlag GTM 97.

    The following books, in addition to the course textbook, will be on reserve in the math library:

  • Diamond and Shurman, A First Course in Modular Forms,
    1st ed., Springer-Verlag GTM 228.

  • Ono, The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-series,
    CBMS Regional Conference Series in Mathematics, 102. (Published by the AMS, Providence, RI, 2004).

  • Exam schedule: There will be 1 in-class midterm exam and 1 final exam. All exams will be held in class, room 310, LeConte.
      Midterm Exam:     TBA  
      Final Exam:     Saturday, Dec. 16, 2 - 5 pm  

  • The above and all other relevant course information may be found in the syllabus. (pdf)

    • Homework assignments:

    Homework 1, due 9/27. (pdf)

    Homework 2, due 10/27. (pdf)

    Homework 3, due 12/8. (pdf)