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Elliptic curve
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#	Item
731	Quotients of E n by an+1 and Calabi-Yau manifolds Kapil Paranjape and Dinakar Ramakrishnan Abstract. We give a simple construction, for n ≥ 2, of an ndimensional Calabi-Yau variety of Kummer type by studying the quotie Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:45:58 Algebraic geometry Differential geometry String theory Complex manifolds Group theory Calabi–Yau manifold Orbifold Blowing up Elliptic curve Abstract algebra Geometry Topology
732	IWASAWA THEORY AND MOTIVIC L-FUNCTIONS MATTHIAS FLACH to Jean-Pierre Serre Abstract. We illustrate the use of Iwasawa theory in proving cases of the (equivariant) Tamagawa number conjecture. Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2007-11-27 21:58:43 Analytic number theory Algebraic geometry Symbol Modular form Iwasawa theory Matthias Flach Elliptic curve P-adic L-function Motive Abstract algebra Mathematical analysis Mathematics
733	MODULAR FORMS AND CALABI-YAU VARIETIES KAPIL PARANJAPE1 AND DINAKAR RAMAKRISHNAN2 Introduction Let f (z) = Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-04-02 03:40:44 Modular forms Analytic number theory Group theory Algebraic geometry Algebraic curves Elliptic curve Calabi–Yau manifold Motive Congruence subgroup Abstract algebra Mathematical analysis Mathematics
734	Galois Symbols on the square of an elliptic curve by Jacob Murre and Dinakar Ramakrishnan∗ Abstract We prove some theorems concerning the Galois symbol map Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:40:28 Field theory Galois theory Analytic number theory Elliptic curve Group theory Algebraic number field Field Semistable abelian variety Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
735	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
736	Publications [1] M. Flach, Herleitung der Chowla-Selberg Formel aus Shimura’schen Periodenrelationen, Arch. Math[removed]), 418–[removed]] , Periods and special values of the hypergeometric series, Math. Proc. Camb. P Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2011-04-11 21:27:03 Homological algebra Galois theory Matthias Flach Year of birth missing Motive Elliptic curve Tate–Shafarevich group Galois module Abstract algebra Algebra Algebraic geometry
737	FIELDSNOTES JANUARY 2007 I VOLUME 7:1 Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2007-03-13 13:31:41 Number theorists Fields Medalists Elliptic curve cryptography Gerhard Frey Algebraic topology Quantum cryptography Homotopy John Milnor Elliptic curve Mathematics Cryptography Science
738	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-12-31 01:15:54 Number theory Elliptic curves Analytic number theory Group theory Modular forms Birch and Swinnerton-Dyer conjecture Curve J-invariant Tate–Shafarevich group Mathematics Abstract algebra Mathematical analysis
739	web extra Making Sense of Snowden, Part II: What’s Significant in the NSA Revelations Susan Landau, Google Add to Reading List Source URL: www.computer.org Language: English - Date: 2014-01-30 14:23:54 Privacy of telecommunications Mass surveillance National Security Agency Signals intelligence Espionage NSA warrantless surveillance controversy Foreign Intelligence Surveillance Act Telephone tapping Elliptic curve cryptography National security Security Surveillance
740	Elliptic Curve PKI An exploration of the benefits and challenges of a PKI based on elliptic curve cryptography Get this White Paper Add to Reading List Source URL: entrust.wpengine.netdna-cdn.com Language: English - Date: 2013-05-03 16:51:59 Elliptic curve cryptography Key size Key NTRU IEEE P1363 Integer factorization Elliptic curve Elliptic Curve DSA Digital signature Cryptography Key management Public-key cryptography

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