[ Elliptic curves and algebraic divisibility sequences | Elliptic curve cryptography ]
[ Circles (number theory and hyperbolic geometry) | Elementary number theory ]
[ Game theory | Commutative algebra | unpublished notes ]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



Circles (number theory and hyperbolic geometry)

Visualising the arithmetic of quadratic imaginary fields



The sensual Apollonian circle packing



Elementary Number Theory

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Unpublished Notes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 ]