Research

Research Interests

algebraic geometry (set Theoretic complete intersections) and algebraic curves (esp. elliptic curves)
algorithmic / algebraic / analytic number theories (Artin's conjecture, Inverse Galois Problem, prime-generating functions)
computational geometry and finite projective geometry
cryptography (elliptic curve cryptography)
fractal sets
kinematics and robotics
mathematical chess problems (see Noam Elkies on enumerative chess problems) and various unorthodox mathematical problems
real algebraic geometry (PhD thesis, sums of squares)
ring theory (integer valued functions, Galois theory for commutative rings)