### Some articles on *elliptic curves, elliptic, elliptic curve, curve*:

Wiles's Proof Of Fermat's Last Theorem - Announcement and Subsequent Developments - Announcement and Final Proof (1993 - 1995)

... proof of the Taniyama–Shimura conjecture for semi-stable

... proof of the Taniyama–Shimura conjecture for semi-stable

**elliptic curves**, and hence of Fermat's Last Theorem, over the course of three lectures delivered at the Isaac Newton ... and on 24 October 1994, Wiles submitted two manuscripts, "Modular**elliptic curves**and Fermat's Last Theorem" and "Ring theoretic properties of certain Hecke algebras", the ... These papers established the modularity theorem for semistable**elliptic curves**, the last step in proving Fermat's Last Theorem, 358 years after it was conjectured ...Elliptic Cohomology - Definitions and Constructions

... A particularly rich source for formal group laws are

... A particularly rich source for formal group laws are

**elliptic curves**... A cohomology theory A with is called**elliptic**if it is even periodic and its formal group law is isomorphic to a formal group law of an**elliptic curve**E over R ... The usual construction of such**elliptic**cohomology theories uses the Landweber exact functor theorem ...Enriques–Kodaira Classification - Surfaces of Kodaira Dimension 0 - Abelian Surfaces and 2-dimensional Complex Tori

... One dimensional complex tori are just

... One dimensional complex tori are just

**elliptic curves**and are all algebraic, but Riemann discovered that most complex tori of dimension 2 are not algebraic ... Criteria to be a product of two**elliptic curves**(up to isogeny) were a popular study in the nineteenth century ... Hodge diamond 1 ... Examples A product of two**elliptic curves**...Counting Points On

... Smart

**Elliptic Curves**- Bibliography... Smart

**Elliptic Curves**in Cryptography, Cambridge University Press, 1999 ... Enge**Elliptic Curves**and their Applications to Cryptography An Introduction ... Schoof Counting Points on**Elliptic Curves**over Finite Fields ...Counting Points On

... An important aspect in the study of

**Elliptic Curves**... An important aspect in the study of

**elliptic curves**is devising effective ways of counting points on the**curve**... and Digital Signature Authentication (See**elliptic curve**cryptography and**elliptic curve**DSA) ... effective use of the difficulty of the discrete logarithm problem (DLP) for the group, of**elliptic curves**over a finite field, where q = pk and p is a prime ...### Famous quotes containing the word curves:

“For a hundred and fifty years, in the pasture of dead horses,

roots of pine trees pushed through the pale *curves* of your ribs,

yellow blossoms flourished above you in autumn, and in winter

frost heaved your bones in the ground—old toilers, soil makers:

O Roger, Mackerel, Riley, Ned, Nellie, Chester, Lady Ghost.”

—Donald Hall (b. 1928)

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