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Algebraic curve
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301	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology Fields Cryptography Retrospective Meeting Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-05-14 13:31:42 Group theory Lenstra elliptic curve factorization Elliptic curve Elliptic curve cryptography Torsion Edwards curve Elliptic curve primality testing Algebraic-group factorisation algorithm Abstract algebra Finite fields Integer factorization algorithms
302	FAMILIES OF RAMANUJAN GRAPHS AND QUATERNION ALGEBRAS DENIS X. CHARLES, EYAL Z. GOREN AND KRISTIN E. LAUTER Contents 1. Introduction 2. Quaternion algebras and superspecial points Add to Reading List Source URL: research.microsoft.com Language: English - Date: 2007-11-14 22:19:22 Analytic number theory Algebraic number theory Algebraic curves Niels Henrik Abel Group theory Quaternion algebra Supersingular elliptic curve Quaternion Abelian variety Abstract algebra Mathematics Algebra
303	RESEARCH SUMMARY Past Research Overview Introduction. For over a hundred years number theory has been motivated by the study of Lseries, as first introduced by P. G. Lejeune Dirichlet [13] in the study of primes in arit Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-07-03 12:04:05 Algebraic curves Modular forms Elliptic curve Group theory Artin L-function Algebraic number field Modular elliptic curve Number theory Abelian variety Abstract algebra Mathematics Analytic number theory
304	WEIL’S CONJECTURE FOR FUNCTION FIELDS DENNIS GAITSGORY AND JACOB LURIE Abstract. Let X be an algebraic curve defined over a finite field Fq and let G be a smooth affine group scheme over X with connected fibers whose g Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2014-12-20 16:43:48 Quadratic forms Algebraic number theory Lie groups Algebraic groups Algebraic number field Adele ring Lattice Smith–Minkowski–Siegel mass formula Finite field Abstract algebra Algebra Field theory
305	2014 Fields Medals On August 13, 2014, the 2014 Fields Medals were awarded at the opening ceremony of the International Congress of Mathematicians in Seoul, South Korea. The following news releases, issued by the Interna Add to Reading List Source URL: www.ams.org Language: English - Date: 2014-09-04 07:53:33 Moduli theory Number theorists Algebraic curves Invariant theory Riemann surfaces Hyperelliptic curve Moduli space Number theory Partial differential equation Mathematics Algebraic geometry Abstract algebra
306	ARITHMETIC QUOTIENTS OF THE COMPLEX BALL AND A CONJECTURE OF LANG MLADEN DIMITROV AND DINAKAR RAMAKRISHNAN Introduction n be the n-dimensional complex hyperbolic space, repreFor any integer n > 1, let HC Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-10-03 19:34:03 Modular forms Algebraic topology Homotopy theory Differential topology Orbifold Congruence subgroup Modular curve Covering space Symbol Abstract algebra Topology Mathematics
307	The Ramanujan Constant An Essay on Elliptic Curves, Complex Multiplication and Modular Forms B.J.Green Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2013-08-05 12:58:17 Analytic number theory Algebraic curves Riemann surfaces Elliptic functions Modular forms Elliptic curve Modular curve Genus of a multiplicative sequence Projective space Mathematical analysis Geometry Abstract algebra
308	The average rank of elliptic curves Manjul Bhargava Princeton University Conference on the BSD Conjecture DPMMS, Cambridge Add to Reading List Source URL: www.dpmms.cam.ac.uk Language: English - Date: 2011-10-28 10:28:03 Elliptic curves Conjectures Elliptic curve Group theory Algebraic curves Birch and Swinnerton-Dyer conjecture Manjul Bhargava Curve Cubic plane curve Mathematics Abstract algebra Analytic number theory
309	A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture arXiv:1407.1826v2 [math.NT] 17 Jul[removed]Manjul Bhargava, Christopher Skinner, and Wei Zhang Add to Reading List Source URL: arxiv.org Language: English - Date: 2014-07-17 20:38:44 Number theory Elliptic curves Algebraic curves Algebraic number theory Group theory Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve P-adic number Galois module Abstract algebra Mathematics Algebra
310	Contents[removed]January 1, 2, 3: More on p-groups. January 12: K-groups for a curve over a finite field. January 15: Cohomology of GLn (Λ) where Λ is a discrete valuation ring with [Λ : Zp ] < ∞. January 17: Sp Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:26:15 K-theory Sheaf Cohomology Characteristic class Étale cohomology Principal bundle Homology theory Ample line bundle Chern class Abstract algebra Topology Algebraic topology

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