Math 788E: Introduction to the arithmetic of elliptic curves.


4:45 - 6:00 pm TuTh, LeConte 303B.


Fall 2008


University of South Carolina


  Instructor:     Matthew Boylan
  Office:     LeConte 400G  
  Phone:     777-8874  
  E-mail:     boylan@math.sc.edu  
  Office Hours:     Mon. 1 - 2, Weds. 9 - 10, Thrus. 9:30 - 10:30, and by appointment.  

  • University of South Carolina Mathematics Department .

  • Course information:

  • Content: course description.

  • Text : Knapp, Anthony W. Elliptic curves. Mathematical Notes, 40. Princeton University Press, Princeton, NJ, 1992. xvi+427pp.

  • Other references :
  • Cassels, J.W.S. Lectures on Elliptic Curves, London Math. Soc. Student Text 24.
  • Husemoller, Dale. Elliptic Curves, Springer GTM 111.
  • Koblitz, Neal. Introduction to Elliptic Curves and Modular Forms, Springer GTM 97.
  • Milne, J.S. Elliptic Curves, Kea Books.
  • Silverman, Joseph H. The Arithmetic of Elliptic Curves, Springer GTM 106.
  • Silverman, Joseph H. and Tate, John. Rational Points on Elliptic Curves, Springer UTM.
  • Exam schedule: All exams will be held in class, room 303B, LeConte (formats to be determined).
      Midterm Exam:     Thursday, October 23.  
      Final Exam:     Thursday, Dec. 11, 9 am - 12.  

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

  • Homework assignments:

    Homework 1.

    Homework 2.

    Homework 3.

    Homework 4.

    Homework 5.