MATH-GA 2420.006 Advanced Topics in Algebra: Introduction to the Theory of Elliptic Curves
SPRING 2021, Mondays 1:25pm-3.15pm, online
Office hours : by appointment
Prerequisites: Elements of linear algebra and the
theory of rings and fields.
This course will be devoted to the study of elliptic curves
over various fields: finite fields, fields of rational or
complex numbers. For elliptic curves defined over finite fields we will also discuss applications to cryptography.
- FINAL ON MARCH, 15, 2021.
Homework
- Homework after the lecture on February, 1, 2021.
- Homework after the lecture on February, 8, 2021.
- Homework after the lecture on February, 15, 2021.
- Homework after the lecture on February, 22, 2021.
- Homework after the lecture on March 1, 2021.
References :
- M. Hindry, Arithmetics, Springer, London, 2011
- K. Ireland, M. Rosen, A classical introduction to modern number theory, Springer-Verlag, New York, 1990
- L. Washington, Elliptic curves: Number theory and cryptography, Chapman and Hall, 2008
- J. Silverman, The arithmetic of elliptic curves, Springer, Dordrecht, 2009.