elliptic net

[ arXiv | MathSciNet | Publication List | CV ]

[ Elliptic curves and algebraic divisibility sequences | Elliptic curve cryptography ]
[ Apollonian circle packings, lattices, Farey sequences, etc. ]
[ Game theory | Commutative algebra | unpublished notes ]


Elliptic Curves and Algebraic Divisibility Sequences

Integral points on elliptic curves and explicit valuations of division polynomials



Algebraic divisibility sequences over function fields



Elliptic nets and elliptic curves



Amicable pairs and aliquot cycles for elliptic curves



Character sums with division polynomials



Terms in elliptic divisibility sequences divisible by their indices



Elliptic Curve Cryptography

Pairings on hyperelliptic curves



The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences



The Tate pairing via elliptic nets



Apollonian Circle Packings, Lattices, Farey sequences, etc.

The sensual Apollonian circle packing

[ arXiv: 1208.4836 | pdf (newer) ]


An arborist's guide to the rationals



Game Theory

A duality principle for selection games



How to make the most of a shared meal: plan the last bite first



Commutative Algebra

General Zelevinsky Algebras            

[ pdf ]


Unpublished Notes

Formulary for elliptic divisibility sequences and elliptic nets            

[ pdf ]