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Modularity theorem
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1	Review of Elliptic curves, by Anthony W. Knapp This book is about elliptic curves and modular functions, two topics that are intimately related in both accidental and essential ways. As emphasized by Andr´e Weil in his Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:16:30 Analytic number theory Modular forms Algebraic curves Abelian varieties Conjectures Elliptic curve Modularity theorem Modular elliptic curve Arithmetic of abelian varieties Abstract algebra Mathematics Mathematical analysis
2	Elliptic curves, L-functions, and CM-points Shou-Wu Zhang Department of Mathematics Columbia University New York, NY[removed]July 11, 2002 Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2002-07-11 03:42:56 Elliptic curves Algebraic curves Analytic number theory Abelian varieties Modular forms Heegner point Birch and Swinnerton-Dyer conjecture Modular elliptic curve Modularity theorem Abstract algebra Algebraic geometry Mathematics
3	Computing modular forms1 over imaginary quadratic fields John Cremona University of Warwick, UK Bristol, 21 August 2008 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2010-11-17 04:00:58 Analytic number theory Modular forms Elliptic curve Group theory Cusp form Modularity theorem Heegner point Abstract algebra Mathematics Algebraic geometry
4	APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2008-11-21 08:07:51 Galois theory Field theory Group theory Analytic number theory Galois module Algebraic number field Elliptic curve Cyclotomic character Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
5	Proceedings of the International Congress of Mathematicians August 16-24, 1983, Warszawa Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:41:48 Heegner point Elliptic curve Mordell–Weil theorem Néron–Tate height Complex multiplication Modularity theorem Modular form Algebraic number field Ideal class group Abstract algebra Mathematics Algebraic number theory
6	LECTURE ON POTENTIAL MODULARITY FOR THE POSTECH WINTER SCHOOL ON SERRE’S CONJECTURE DAVID SAVITT Add to Reading List Source URL: math.postech.ac.kr Language: English - Date: 2011-01-17 09:45:49 Group theory Modular forms Algebraic curves Riemann surfaces Elliptic curve Modularity theorem Algebraic number field Representation theory Group representation Abstract algebra Mathematics Analytic number theory
7	forum.qxp[removed]:05 PM Page[removed]Forum Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-03-08 15:14:29 Modular forms Algebraic curves Diophantine geometry Analytic number theory Riemann surfaces Modularity theorem Weil conjecture André Weil Elliptic curve Mathematics Abstract algebra Algebraic geometry
8	PDF Document Add to Reading List Source URL: www.ams.org Language: English - Date: 2002-07-02 11:38:35 Number theorists Fellows of the Royal Society Conjectures Automorphic forms Henryk Iwaniec Ostrowski Prize Artin L-function Modularity theorem Peter Sarnak Mathematics Abstract algebra Number theory
9	PDF Document Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-11-04 16:14:17 Modular forms Algebraic curves Riemann surfaces Analytic number theory Number theory Modularity theorem Elliptic curve Frey curve Modular elliptic curve Abstract algebra Mathematics Algebraic geometry
10	PDF Document Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-03-08 15:14:12 Galois theory Analytic number theory Algebraic curves Field theory Hecke operator Elliptic curve Modularity theorem Eigenform Galois group Abstract algebra Mathematics Modular forms