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Rational point
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51	Mathematics 574 Topics in Number Theory MW 2:50–4:10 Hill 425 Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2004-04-19 09:39:13 Diophantine geometry Abelian varieties Analytic number theory Elliptic curve Group theory Rational point Mordell–Weil theorem Arithmetic of abelian varieties Algebraic curve Abstract algebra Mathematics Elliptic curves
52	SPRING SCHOOL ON ABELIAN VARIETIES Schedule for the courses Tuesday, 2 May[removed]:00–12:00, Aardwetenschappen (Earth Sciences building), big amphitheatre First meeting; practical information on the courses Add to Reading List Source URL: staff.science.uva.nl Language: English - Date: 2006-04-25 14:55:31 Abelian varieties Algebraic curves Diophantine geometry Niels Henrik Abel Mordell–Weil theorem Rational point Algebraic geometry Abstract algebra Geometry
53	What’s Your Point? Cut The Crap, Hit The Mark & Stick! Copyright © 2013 PJ Wade The Catalyst. All rights reserved. Published by: CATAPULT PUBLISHING Add to Reading List Source URL: www.thecatalyst.com Language: English - Date: 2013-07-28 16:49:48 Action theory Science Social philosophy Keirsey Temperament Sorter Rational temperament
54	MATH CIRCLE - ELLIPTIC CURVES WEEKS 1 & 2 SAM LICHTENSTEIN 1. What is a curve? We started by considering the idea of a curve. This is just the set of points in the plane which satisfy a polynomial equation. For example, Add to Reading List Source URL: www.themathcircle.org Language: English - Date: 2007-10-20 22:29:22 Algebraic curves Diophantine equations Analytic number theory Elliptic curve Group theory Rational point Rational number Curve Infinite descent Mathematics Geometry Abstract algebra
55	EXHIBITING SHA[2] ON HYPERELLIPTIC JACOBIANS N. BRUIN AND E.V. FLYNN Abstract. We discuss approaches to computing in the Shafarevich-Tate group of Jacobians of higher genus curves, with an emphasis on the theory and prac Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Niels Henrik Abel Abelian variety Elliptic curve Rational point Abelian group Hyperelliptic curve cryptography Imaginary hyperelliptic curve Abstract algebra Algebraic curves Algebra
56	Heegner points and Sylvester’s conjecture Samit Dasgupta and John Voight Abstract. We consider the classical Diophantine problem of writing positive integers n as the sum of two rational cubes, i.e. n = x3 + y 3 for x, Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:52:13 Algebraic number theory Elliptic curves Number theory Group theory Heegner point Modular form Birch and Swinnerton-Dyer conjecture Prime number Classical modular curve Abstract algebra Mathematics Analytic number theory
57	Covering Collections and a Challenge Problem of Serre E. Victor Flynn, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We answer Add to Reading List Source URL: people.maths.ox.ac.uk Language: English* - Date: 2006-07-08 18:57:36 Elliptic curve cryptography Elliptic curves Analytic number theory Algebraic curves Elliptic curve Group theory Curve Rational point Rational function Abstract algebra Geometry Algebraic geometry
58	LARGE RATIONAL TORSION ON ABELIAN VARIETIES E. V. Flynn, Mathematical Institute, University of Oxford Abstract A method of searching for large rational torsion on Abelian varieties is described. A few explicit applicatio Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Elliptic curve Torsion Canonical bundle Abelian variety Modular curve Divisor Linear system of divisors Rational point Abstract algebra Algebraic geometry Geometry
59	Elliptic curves, their companions, and their statistics Barry Mazur What is the probability that a cubic plane curve with rational coefficients has infinitely many rational points? Questions of this type (more exactly fo Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-12-13 10:36:46 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Arithmetic of abelian varieties Curve Abstract algebra Mathematics Algebraic geometry
60	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

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