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Algebraic geometry and analytic geometry
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131	MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000–000 S[removed]XX[removed]EMPIRICAL EVIDENCE FOR THE BIRCH AND SWINNERTON-DYER CONJECTURES FOR MODULAR JACOBIANS OF GENUS 2 CURVES Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Number theory Elliptic curves Diophantine geometry Analytic number theory Birch and Swinnerton-Dyer conjecture Tate–Shafarevich group Abelian variety Modular curve Abstract algebra Algebraic geometry Mathematics
132	TOWARDS QUANTUM-RESISTANT CRYPTOSYSTEMS FROM SUPERSINGULAR ELLIPTIC CURVE ISOGENIES ´ OME ˆ ˆ LUCA DE FEO, DAVID JAO, AND JER Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-07-04 11:29:25 Elliptic curves Group theory Supersingular elliptic curve Isogeny Dual abelian variety Localization of a category Classical modular curve Abstract algebra Algebraic geometry Analytic number theory
133	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
134	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
135	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
136	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
137	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
138	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
139	MOISHEZON SPACES IN RIGID GEOMETRY BRIAN CONRAD Abstract. We prove that all proper rigid-analytic spaces with “enough” algebraically independent meromorphic functions are algebraic (in the sense of proper algebraic s Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2010-08-21 00:45:36 Algebraic geometry and analytic geometry Algebraic variety Étale morphism Ample line bundle Rational mapping Sheaf Algebraic space Proper morphism Analytic space Abstract algebra Algebraic geometry Algebra
140	NON-ARCHIMEDEAN ANALYTIFICATION OF ALGEBRAIC SPACES BRIAN CONRAD AND MICHAEL TEMKIN 1. Introduction 1.1. Motivation. This paper is largely concerned with constructing quotients by ´etale equivalence relations. We are in Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2009-02-24 12:45:41 Sheaf theory Algebraic geometry Algebraic topology Scheme theory Étale morphism Algebraic geometry and analytic geometry Grothendieck topology Sheaf Ideal sheaf Abstract algebra Topology Mathematics

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