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Math 7230
Introduction to Elliptic Curves and Modular Forms
Office Hours: Friday 10:30 am -12 pm (268 Lockett)
If the office hours do not work for you, please send me an email to make an appointment.
Behavioral Misconduct
Per section 5.1 of the Code of Student Conduct, the Code applies to conduct that occurs on the Campus, at LSU-sponsored activities, and/or when the Student or Registered Student Organization is representing LSU. The University shall have discretion to extend jurisdiction over conduct that occurs off campus when the conduct adversely and significantly affects the learning environment or University community and would be in violation of the Code if the conduct had occurred on campus. This includes behavior that may occur in a remote learning environment, such as email, discussion forums, zoom webinars, or any other platform or solution used for a course. In determining whether to extend jurisdiction, the University may consider its ability to gather information. Potential violations of the Code can be reported through LSU Cares.
If the office hours do not work for you, please send me an email to make an appointment.
Behavioral Misconduct
Per section 5.1 of the Code of Student Conduct, the Code applies to conduct that occurs on the Campus, at LSU-sponsored activities, and/or when the Student or Registered Student Organization is representing LSU. The University shall have discretion to extend jurisdiction over conduct that occurs off campus when the conduct adversely and significantly affects the learning environment or University community and would be in violation of the Code if the conduct had occurred on campus. This includes behavior that may occur in a remote learning environment, such as email, discussion forums, zoom webinars, or any other platform or solution used for a course. In determining whether to extend jurisdiction, the University may consider its ability to gather information. Potential violations of the Code can be reported through LSU Cares.
Main Reference:
Neal Koblitz: Introduction to Elliptic Curves and Modular Forms
Neal Koblitz: Introduction to Elliptic Curves and Modular Forms
Handouts/Slides:
I.3: Elliptic Curves
I.4-6: Elliptic Functions and Complex Tori; Complex Tori as Elliptic Curves
I.7-9: Points of Finite Order
II: The Hasse-Weil L-Function of an Elliptic Curve
III.1: SL_2(Z) and its Congruence Subgroups;
Modular Curves as Compact Riemann Surfaces
III.2: Modular Forms for SL_2(Z)
I.3: Elliptic Curves
I.4-6: Elliptic Functions and Complex Tori; Complex Tori as Elliptic Curves
I.7-9: Points of Finite Order
II: The Hasse-Weil L-Function of an Elliptic Curve
III.1: SL_2(Z) and its Congruence Subgroups;
Modular Curves as Compact Riemann Surfaces
III.2: Modular Forms for SL_2(Z)
Homework Assignments:
I.1: 1,3(a,b), 7(a)
I.2: 1, 2(a)-(e)
I.3: 5(a)-(e) , 6(a)-(c), 7
I.4- I.6 : Here
I.8: 1, 3, 4, 7(b,c,d), 8(a,b), 9(c)
I.9: 4, 7(a,b), 9(a,b)
II.1: 3, 7(a,b,c), 10
II.2: 19, 21(a,b)
III.1: 6, 8, 9, 12, 14 (a,b,c), 17, 18
I.1: 1,3(a,b), 7(a)
I.2: 1, 2(a)-(e)
I.3: 5(a)-(e) , 6(a)-(c), 7
I.4- I.6 : Here
I.8: 1, 3, 4, 7(b,c,d), 8(a,b), 9(c)
I.9: 4, 7(a,b), 9(a,b)
II.1: 3, 7(a,b,c), 10
II.2: 19, 21(a,b)
III.1: 6, 8, 9, 12, 14 (a,b,c), 17, 18