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Mordell–Weil theorem
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#	Item
1	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
2	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
3	Monodromy and the Tate conjecture-1 Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families A. Johan de Jong and Nicholas M. Katz Introduction We use results of Deligne on …-adic monodromy Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2000-05-20 15:40:45 Algebraic geometry Tate conjecture Projective variety Algebraic number field Ample line bundle Elliptic curve Cohomology Smooth scheme Monodromy Lefschetz hyperplane theorem Picard group Hodge conjecture
4	Counting points on elliptic curves David Harvey University of New South Wales 6th December 2012, Australian National University Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-12-04 18:47:26 Finite fields Number theory Group theory Diophantine geometry Elliptic curve Counting points on elliptic curves Birch and Swinnerton-Dyer conjecture Mordell–Weil theorem Elliptic curve cryptography Abstract algebra Mathematics Elliptic curves
5	Counting points on elliptic curves David Harvey University of New South Wales 29th November 2012, University of Sydney Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-11-28 17:24:32 Number theory Finite fields Group theory Diophantine geometry Elliptic curve Counting points on elliptic curves Birch and Swinnerton-Dyer conjecture Mordell–Weil theorem Elliptic curve cryptography Abstract algebra Mathematics Elliptic curves
6	Andr´ e WeilOne of the Century’s most influential pure mathematicians Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:22:20 Number theorists Nicolas Bourbaki Algebraic geometry Number theory Weil conjectures Alexander Grothendieck Riemann hypothesis Foundations of algebraic geometry Mordell–Weil theorem Mathematics Abstract algebra Conjectures
7	Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2007-06-12 08:54:49 Elliptic curves Abelian varieties Finite fields Diophantine geometry Analytic number theory Mordell–Weil theorem Elliptic function Victor S. Miller Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Algebraic geometry
8	Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank Mirela Juki´c Bokun Abstract For each of the torsion groups Z/2Z⊕Z/10Z, Z/2Z⊕Z/12Z, Z/15Z Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2014-07-23 10:55:12 Elliptic curves Analytic number theory Curvature Differential geometry Abelian varieties Torsion subgroup Torsion Mordell–Weil theorem Modular form Abstract algebra Mathematics Mathematical analysis
9	RANKS OF ELLIPTIC CURVES WITH PRESCRIBED TORSION OVER NUMBER FIELDS JOHAN BOSMAN, PETER BRUIN, ANDREJ DUJELLA, AND FILIP NAJMAN Abstract. We study the structure of the Mordell–Weil group of elliptic curves over number Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2013-01-15 10:57:31 Elliptic curves Algebraic curves Number theory Abelian varieties Diophantine geometry Birch and Swinnerton-Dyer conjecture Twists of curves Mordell–Weil theorem Division polynomials Abstract algebra Algebraic geometry Mathematics
10	ARITHMETIC STATISTICS: ELLIPTIC CURVES AND OTHER THINGS BARRY MAZUR Notes for the Erd¨os Memorial Lecture, held at Temple University, October 12, 2013 Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2014-07-18 09:03:32 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Barry Mazur Prime number Abstract algebra Mathematics Number theory

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