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Elliptic curves
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541	ELLIPTIC CURVES AND THEIR STATISTICS Rough notes for my Basic Notions Talk, Feb[removed]B. Mazur Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2012-02-27 12:02:38 Analytic number theory Algebraic number theory Field theory Diophantine geometry Algebraic curves Elliptic curve Algebraic number field Prime number Quartic function Abstract algebra Mathematics Algebra
542	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: www.math.harvard.edu Language: English - Date: 2013-11-03 13:39:15 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
543	William A. Stein[removed]Curriculum Vitae – April 2013 · Add to Reading List Source URL: sage.math.washington.edu Language: English - Date: 2013-04-04 22:09:51 Number theory Diophantine geometry Elliptic curves Analytic number theory Abelian varieties Tate–Shafarevich group Birch and Swinnerton-Dyer conjecture Heegner point Peter Swinnerton-Dyer Mathematics Abstract algebra Algebraic geometry
544	William A. Stein[removed]Curriculum Vitae – April 2013 · Add to Reading List Source URL: wstein.org Language: English - Date: 2013-04-04 22:09:51 Number theory Diophantine geometry Elliptic curves Analytic number theory Abelian varieties Tate–Shafarevich group Birch and Swinnerton-Dyer conjecture Heegner point Peter Swinnerton-Dyer Mathematics Abstract algebra Algebraic geometry
545	Some comments on elliptic curves over general number fields and Brill-Noether modular varieties B. Mazur November 3, 2013 Very rough notes for a lecture to be given October 5, 2013 at the Quebec/Maine Number Theory Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-11-03 12:11:28 Elliptic curves Algebraic curves Analytic number theory Group theory Diophantine geometry Modular curve Canonical bundle Torsion tensor Mordell–Weil theorem Abstract algebra Geometry Mathematics
546	Jacobians of Curves of Genus One A thesis presented by Catherine Helen O’Neil to The Department of Mathematics Add to Reading List Source URL: www.wstein.org Language: English Algebraic curves Differential geometry Abelian varieties Analytic number theory Elliptic curve Group theory Curve Projective space Torsion tensor Geometry Abstract algebra Algebraic geometry
547	GROSS-ZAGIER REVISITED BRIAN CONRAD Contents 1. Introduction 2. Some properties of abelian schemes and modular curves Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:48:34 Elliptic curves Algebraic topology Field theory Abelian variety Group scheme Formal group Rational point Supersingular elliptic curve Frobenius endomorphism Abstract algebra Algebraic number theory Algebraic groups
548	Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-11-08 09:26:06 Analytic number theory Finite fields Modular forms Elliptic curves Modular arithmetic Prime number Lenstra elliptic curve factorization Hessian form of an elliptic curve Abstract algebra Mathematics Group theory
549	Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-03-19 13:19:05 Analytic number theory Integer sequences Prime numbers Group theory Prime-counting function Prime number theorem Elliptic curve Riemann hypothesis Factorial Mathematics Number theory Mathematical analysis
550	MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD 1. Introduction 1.1. Motivation. In the original work of Katz on p-adic modular forms [Kz], a key insight is the use of Lubin’s work on canonical subgroups in 1-par Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-01-19 19:29:21 Scheme theory Elliptic curves Algebraic surfaces Analytic number theory Algebraic geometry and analytic geometry Group scheme Abelian variety Curve Supersingular elliptic curve Abstract algebra Algebraic geometry Geometry

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