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Diophantine geometry
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#	Item
11	How Euler Did It by Ed Sandifer Rational trigonometry March 2008 Triangles are one of the most basic objects in mathematics. We have been studying them for thousands of years, and the study of triangles, Trigonometry, is Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematics Geometry Triangle geometry Trigonometry Triangles Diophantine equations Angle Pythagorean triple Integer triangle Triangle Pythagorean theorem Number theory
12	673 Documenta Math. Visibility of the Shafarevich–Tate Group at Higher Level Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-02-04 02:32:18 Abstract algebra Algebra Mathematics Analytic number theory Number theory Diophantine geometry Homological algebra Class field theory Galois module Elliptic curve Abelian variety Torsion
13	The set of non-n-th powers in a number field is diophantine Joint work with Jan Van Geel (Gent) Jean-Louis Colliot-Th´el`ene (CNRS et Universit´e Paris-Sud, Orsay, visiting BICMR) Capital Normal University Add to Reading List Source URL: www.math.u-psud.fr Language: English - Date: 2015-11-25 21:14:39 Abstract algebra Algebra Geometry Algebraic geometry Algebraic varieties Projective geometry Smooth scheme Projective variety Field extension Elliptic curve Affine variety Morphism of algebraic varieties
14	Documenta Mathematica Extra Volume: Kazuya Kato’s Fiftieth Birthday, 2003 Preface 1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2004-01-12 05:17:25 Abstract algebra Algebra Mathematics Number theory Algebraic geometry Algebraic number theory Field theory Diophantine geometry P-adic L-function Class field theory Galois module Kazuya Kato
15	3 Documenta Math. Foreword Andrew Wiles Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-24 14:31:38 Mathematics Abstract algebra Algebra Diophantine geometry Fellows of the Royal Society Number theorists Number theory Abelian varieties Birch and Swinnerton-Dyer conjecture Andrew Wiles John H. Coates Elliptic curve
16	The work of Elon Lindenstrauss Harry Furstenberg I’ve been asked to describe some of the achievements of Elon Lindenstrauss our Fields medalist. Elon Lindenstrauss’s work continues a tradition of interaction between Add to Reading List Source URL: www.icm2010.in Language: English - Date: 2012-02-02 09:07:18 Mathematics Algebra Geometry Dynamical systems Lie groups Conjectures Diophantine approximation Ergodic theory Oppenheim conjecture Littlewood conjecture Anatole Katok Elon Lindenstrauss
17	Twisted L-Functions and Monodromy Nicholas M. Katz Contents Introduction Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2001-11-05 12:32:04 Mathematics Abstract algebra Algebra Elliptic curves Analytic number theory Diophantine geometry Number theory Elliptic curve cryptography Elliptic curve Birch and Swinnerton-Dyer conjecture Rank of an elliptic curve Twists of curves
18	Conics over function fields and the Artin-Tate conjecture Jos´ e Felipe Voloch Abstract: We prove that the Hasse principle for conics over function fields is a simple consequence of a provable case of the Artin-Tate con Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2008-01-09 10:54:19 Algebraic number theory Algebraic curves Field theory Conjectures Diophantine geometry Tate conjecture Brauer group Algebraic number field Global field Divisor Finite field Artin
19	DISTRIBUTION OF PERIODIC TORUS ORBITS AND DUKE’S THEOREM FOR CUBIC FIELDS. M. EINSIEDLER, E. LINDENSTRAUSS, PH. MICHEL AND A. VENKATESH Abstract. We study periodic torus orbits on space of lattices. Using the action of Add to Reading List Source URL: www.ma.huji.ac.il Language: English - Date: 2008-03-09 10:25:50 Ergodic theory Diophantine approximation Dynamical systems Lie groups Algebraic groups Equidistribution theorem Equidistributed sequence Lattice Differential geometry of surfaces Torus
20	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

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