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Counting points on elliptic curves
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#	Item
1	Counting points on curves: the general case Jan Tuitman, KU Leuven October 14, 2015 Jan Tuitman, KU Leuven Add to Reading List Source URL: caramba.loria.fr Language: English - Date: 2016-06-13 15:37:34 Homological algebra tale cohomology Cohomology Weil conjectures Elliptic curve P-adic number Ring Crystalline cohomology
2	Counting points on curves in average polynomial time David Harvey and Andrew Sutherland February 24, 2014 Add to Reading List Source URL: math.mit.edu Language: English - Date: 2014-02-24 05:33:53 Mathematical analysis Algebraic curves Group theory Binary arithmetic Binary logarithm Calculus P Hyperelliptic curve Elliptic curve Mathematics Abstract algebra Logarithms
3	Counting points on elliptic curves David Harvey University of New South Wales 6th December 2012, Australian National University Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-12-04 18:47:26 Finite fields Number theory Group theory Diophantine geometry Elliptic curve Counting points on elliptic curves Birch and Swinnerton-Dyer conjecture Mordell–Weil theorem Elliptic curve cryptography Abstract algebra Mathematics Elliptic curves
4	Counting points on smooth plane quartics David Harvey University of New South Wales Number Theory Down Under, University of Newcastle 25th October 2014 Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2014-10-25 21:41:45 Finite fields Conjectures Algebraic curves Analytic number theory Elliptic curve Group theory Sato–Tate conjecture Hyperelliptic curve Curve Abstract algebra Geometry Mathematics
5	Counting points on hyperelliptic curves David Harvey University of New South Wales 19th November 2012, CARMA, University of Newcastle Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-11-18 17:20:36 Algebraic curves Group theory Finite fields Vector bundles Hyperelliptic curve Elliptic curve Ample line bundle Curve Hyperelliptic curve cryptography Abstract algebra Geometry Algebraic geometry
6	Counting points on elliptic curves David Harvey University of New South Wales 29th November 2012, University of Sydney Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-11-28 17:24:32 Number theory Finite fields Group theory Diophantine geometry Elliptic curve Counting points on elliptic curves Birch and Swinnerton-Dyer conjecture Mordell–Weil theorem Elliptic curve cryptography Abstract algebra Mathematics Elliptic curves
7	Complete Subdivision Algorithms, I: Intersection of Bezier Curves ∗ Chee K. Yap Add to Reading List Source URL: www.cs.nyu.edu Language: English - Date: 2008-01-22 00:29:19 Elliptic curves Algebraic curve Algebraic geometry Curve Intersection number Intersection theory Ample line bundle Counting points on elliptic curves Abstract algebra Geometry Mathematics
8	ON THE DIOPHANTINE EQUATION x2 + 7 = y m SAMIR SIKSEK AND JOHN E. CREMONA Abstract. In this paper we study the equation x2 +7 = y m , in integers x, y, m with m ≥ 3, using a Frey curve and Ribet’s level lowering theo Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-06-26 05:45:45 Group theory Elliptic curves Analytic number theory Prime number Diophantine equations Euclidean algorithm Counting points on elliptic curves Mathematics Abstract algebra Number theory
9	Constructing cryptographic curves with complex multiplication Reinier Br¨ oker Ξ Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-05-14 13:40:44 Group theory Elliptic curves Analytic number theory Number theory Prime number Curve Frobenius endomorphism Supersingular elliptic curve Counting points on elliptic curves Abstract algebra Mathematics Finite fields
10	Towards an exact cost analysis of index-calculus algorithms ECC 2006 Nicolas Thériault [removed] Fields Institute Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-09-22 13:16:31 Cryptography Elliptic curves Logarithms Discrete logarithm Hyperelliptic curve Hyperelliptic curve cryptography Counting points on elliptic curves Abstract algebra Finite fields Group theory

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