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Algebraic curve
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431	DESCENT VIA ISOGENY ON ELLIPTIC CURVES WITH LARGE RATIONAL TORSION SUBGROUPS E.V. FLYNN AND C. GRATTONI Abstract. We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic c Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:19 Analytic number theory Group theory Elliptic curves Algebraic number field Birch and Swinnerton-Dyer conjecture Classical modular curve Golden ratio base Abstract algebra Mathematics Number theory
432	Annals of Mathematics, [removed]), 301–346 Elliptic units for real quadratic ﬁelds By Henri Darmon and Samit Dasgupta Contents Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:56:54 Analytic number theory Modular forms Riemann surfaces Algebraic number theory Group theory Symbol Elliptic curve Valuation Kronecker limit formula Abstract algebra Mathematics Algebra
433	Riemann Surfaces This course on Riemann surfaces assumes that the reader is familiar with sheaf theory. 1 Add to Reading List Source URL: www.math.rug.nl Language: English - Date: 2004-04-19 07:18:04 Algebraic topology Modular forms Homotopy theory Riemann surfaces Group theory Covering space Modular curve Fuchsian group Valuation Abstract algebra Mathematics Topology
434	Covering Collections and a Challenge Problem of Serre E. Victor Flynn, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We answer Add to Reading List Source URL: people.maths.ox.ac.uk Language: English* - Date: 2006-07-08 18:57:36 Elliptic curve cryptography Elliptic curves Analytic number theory Algebraic curves Elliptic curve Group theory Curve Rational point Rational function Abstract algebra Geometry Algebraic geometry
435	Ann. Scient. Éc. Norm. Sup., 4e série, t. 38, 2005, p. 427 à 469. STARK–HEEGNER POINTS ON MODULAR JACOBIANS B Y S AMIT DASGUPTA A BSTRACT. – We present a construction which lifts Darmon’s Stark–Heegner points Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:55:09 Analytic number theory Algebraic curves Algebraic number theory Modular forms Valuation Modular curve Riemann surface Elliptic curve P-adic number Abstract algebra Geometry Field theory
436	Gross–Stark units, Stark–Heegner points, and class fields of real quadratic fields by Samit Dasgupta A.B. (Harvard University) 1999 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:53:21 Field theory Conjectures Heegner point Number theorists Elliptic curve Kenneth Alan Ribet P-adic number Prime number Zeta function Abstract algebra Mathematics Algebraic number theory
437	LARGE RATIONAL TORSION ON ABELIAN VARIETIES E. V. Flynn, Mathematical Institute, University of Oxford Abstract A method of searching for large rational torsion on Abelian varieties is described. A few explicit applicatio Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Elliptic curve Torsion Canonical bundle Abelian variety Modular curve Divisor Linear system of divisors Rational point Abstract algebra Algebraic geometry Geometry
438	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
439	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
440	DISPARITY IN THE STATISTICS FOR QUADRATIC TWIST FAMILIES BARRY MAZUR Very rough notes for a lecture delivered at the MSRI Workshop in Arithmetic Statistics, April 13, 2011. This represents joint work with Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-12-13 10:36:48 Linear algebra Analytic number theory Quadratic forms Algebraic number theory Real algebraic geometry Elliptic curve Symbol Symplectic vector space Algebraic number field Algebra Abstract algebra Mathematics

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