
Reference for Lectures
1. Lecture
notes by Milne(click)
[MilCF] class field theory
[MilMF] modular functions and modular forms
[MilEC] elliptic curves
[MilAV] abelian varieties
2. Some useful books and lecture notes
[CF67] J. Cassels and A. Frohlich (editors), Algebraic number theory,
Proceedings of an instructional conference organized by the London Mathematical
Society (a NATO advanced study institute) with the support of the International
Mathematical Union. New York, NY: Academic Press, 1967.
[Antwerp3] Modular functions of one variable, III (Proc. Internat. Summer
School, Univ. Antwerp, Antwerp, 1972), Lecture Notes in Mathematics, Vol. 350,
Springer, Berlin, 1973.
[Hid93] Hida, Haruzo Elementary theory of $L$functions and Eisenstein series.
London Mathematical Society Student Texts, 26. Cambridge University Press,
Cambridge, 1993.
[Bum97] D. Bump, Automorphic Forms and Representations, Cambridge Studies in
Advanced Math., Cambridge Univ Press, 1996.
[Ed97] Bas Edixhoven, The
modular curves X_0(N), Trieste (1997)
[Iwa97] Henryk Iwaniec, Topics in Classical Automorphic forms, Graduate
studies in mathematics, Volume 17, 1997
[Jac97] H. Jacquet, Principal Lfunctions for GL(n), Representation theory
and automorphic forms (Edingburgh, 1996), 321329, Proc. Sympos. Pure Math., 61,
Amer. Math. Soc., Providence RI. 1997
[IAS01] B. Conrad and K. Rubin (editors), IAS/Park City Math. Ser., 9,
Arithmetic algebraic geometry (Park City, UT, 1999), 233406, Amer. Math. Soc.,
Providence, RI, 2001.
[LGS03] D. Bump, J. Cogdell, E. de Shalit, D. Gaitsgory, E. Kowalski, S. Kudla,
An introduction to the Langlands program. Lectures presented at the Hebrew
University of Jerusalem, Jerusalem, March 1216, 2001. Edited by Joseph
Bernstein and Stephen Gelbart. Birkhauser Boston, Inc., Boston, MA, 2003. x+281
pp. ISBN: 0817632115
[Gold09] Dorian Goldfeld, lecture notes, Spring 2009 & Spring 2010
3. Comprehensive references (which cover elliptic curves, modular forms and
more)
[FLT1] V. Kumar Murty (editor), Seminar on Fermat's Last Theorem, CMS
Conference proceedings, Vol 17, 1995
[FLT2] J. Coates and S.T. Yau (editors), Elliptic Curves, Modular Forms, and
Fermat's Last Theorem (2nd ed), International Press, 1997
[FLT3] G. Cornell, J. Silverman and G. Stevens (editors), Modular Forms and
Fermat's Last Theorem, Springer, 1997
[DS06] DiamondShurman, A First Course in Modular Forms, SpringerVerlag,
Graduate Texts in Mathematics 228, 2006
