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Diophantine geometry
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#	Item
41	International Mathematical Olympiad 1996 Hong Kong Preliminary Selection Contest 27th May, 1995. Time allowed: 3 hours Add to Reading List Source URL: www.mathdb.org Language: English - Date: 2004-01-04 14:01:34 Diophantine equations Triangle geometry Group theory Number Triangle Ring Equation Mathematics Algebra Geometry
42	Finding all elliptic curves with good reduction outside a given set of primes John Cremona University of Nottingham, UK 6 September, 2005 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-06-26 05:45:46 Number theory Diophantine geometry Elliptic curves Analytic number theory J-invariant Algebraic number field Birch and Swinnerton-Dyer conjecture Schoof–Elkies–Atkin algorithm Abstract algebra Mathematics Group theory
43	Numerical evidence for the Birch–Swinnerton-Dyer conjecture John Cremona University of Warwick Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2011-05-11 12:31:35 Diophantine geometry Conjectures Analytic number theory Elliptic curve Group theory Birch and Swinnerton-Dyer conjecture Néron–Tate height Heegner point Abstract algebra Mathematics Number theory
44	Finding all elliptic curves with good reduction outside a given set of primes J. E. Cremona and M. P. Lingham Abstract We describe an algorithm for determining elliptic curves defined over a given number field with a giv Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-12-14 12:01:45 Number theory Group theory Elliptic curves Diophantine geometry Elliptic curve Birch and Swinnerton-Dyer conjecture Curve Prime number XTR Abstract algebra Mathematics Finite fields
45	PYTHAGOREAN TRIADS OF THE FORM X, X + 1 , Z DESCRIBED BY RECURRENCE SEQUENCES T. W. FORGET and T. A . LARKIN Lockheed Missiles & Space Company, Sunnyvale, California Add to Reading List Source URL: www.fq.math.ca Language: English - Date: 2010-07-21 22:19:28 Triangle geometry Recurrence relation Mathematics Diophantine equations Pythagorean triple
46	Fundamental groups and Diophantine geometry Minhyong Kim February 28, 2008 Colloquium le ture, Leeds, January 2008 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2008-02-28 18:22:50 Algebraic topology Homotopy theory Fundamental group Quasigroup Period mapping Étale morphism Abstract algebra Mathematics Algebra
47	The Arithmetic of Hyperelliptic Curves E. V. Flynn∗ , Mathematical Institute, University of Oxford Abstract We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in partic Add to Reading List Source URL: eprints.maths.ox.ac.uk Language: English - Date: 2009-07-20 09:53:46 Elliptic curve Kummer surface Algebraic number field Hyperelliptic curve Hyperelliptic curve cryptography Trace Zero Cryptography Abstract algebra Algebraic geometry Algebraic curves
48	Galois Theory and Diophantine geometry Minhyong Kim August 5, 2009 Lecture at Cambridge workshop, July, 2009 The author must confess to having contemplated for some years a diagram of the following sort. Diophantine geom Add to Reading List Source URL: www.ucl.ac.uk Language: English - Date: 2009-08-05 07:16:23 Homological algebra Topological groups Diophantine geometry Algebraic topology Motive Principal homogeneous space Abelian variety Algebraic geometry Cohomology Abstract algebra Algebra Group theory
49	Harvard University, Cambridge, MA Thesis presented to the Department of Mathematics in partial fulfillment of the requirements for the degree of Bachelor of Arts with Honors Modular Curves and Mazur’s Add to Reading List Source URL: www.math.mcgill.ca Language: English - Date: 2009-04-28 15:22:14 Analytic number theory Number theorists Diophantine geometry Algebraic curves Modular forms Elliptic curve Number theory Modular curve Barry Mazur Mathematics Abstract algebra Algebraic geometry
50	A GENERALIZATION OF THE CONGRUENT NUMBER PROBLEM LARRY ROLEN Abstract. We study a certain generalization of the classical Congruent Number Problem. Specifically, we study integer areas of rational triangles with an arbit Add to Reading List Source URL: web.archive.org Language: English Analytic number theory Elliptic curves Triangle geometry Diophantine equations Congruent number Pythagorean triple Riemann hypothesis Prime number Infinite descent Mathematics Abstract algebra Number theory