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)




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