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Modular curve
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#	Item
151	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
152	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
153	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
154	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
155	ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES BRIAN CONRAD 1. Introduction 1.1. Motivation. In [DR], Deligne and Rapoport developed the theory of generalized elliptic curves over arbitrary schemes and they proved that Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-07-17 20:14:44 Moduli theory Scheme theory Analytic number theory Algebraic curves Algebraic stack Category theory Elliptic curve Modular form Group scheme Abstract algebra Algebraic geometry Geometry
156	More applications of multiple Dirichlet series Gautam Chinta Bretton Woods, NH 13 July 2005 Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:10 Analytic number theory Elliptic curve Group theory Fourier series Dirichlet character Symbol Conjectures Modular forms Generalized Riemann hypothesis Abstract algebra Mathematical analysis Mathematics
157	INFINITUDE OF ELLIPTIC CARMICHAEL NUMBERS AARON EKSTROM, CARL POMERANCE and DINESH S. THAKUR (September 25, 2011) Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2011-09-27 14:35:17 Integer sequences Modular arithmetic Group theory Analytic number theory Elliptic curve Primality test Coprime Prime number Carmichael number Mathematics Abstract algebra Number theory
158	The Gross-Kohnen-Zagier theorem in higher dimensions. 1997, 4 March[removed]Oct and 31 Dec Duke Math. J[removed]), no. 2, 219–233. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2000-05-12 13:35:16 Modular forms Analytic number theory Group theory Moduli theory Modular curve Orbifold Representation theory of finite groups Symbol Divisor Abstract algebra Mathematics Algebra
159	MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-03-08 11:36:50 Modular forms Analytic number theory Elliptic functions Riemann surfaces Algebraic curves J-invariant Theta function Congruence subgroup Classical modular curve Abstract algebra Mathematical analysis Mathematics
160	ON BALANCED SUBGROUPS OF THE MULTIPLICATIVE GROUP CARL POMERANCE AND DOUGLAS ULMER In memory of Alf van der Poorten A BSTRACT. A subgroup H of (Z/dZ)× is called balanced if every coset of H is evenly distributed between Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-09-20 13:20:49 Modular arithmetic Algebraic number theory Quadratic residue Finite groups Coprime Cyclic group Elliptic curve Quadratic reciprocity Factorial Mathematics Abstract algebra Number theory

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