I enjoy working on interesting problems from all areas of mathematics, but my research interests has mainly focused on problems in number theory, algebra, computational mathematics, and recreational mathematics.

Recent Work:

• Primes of the Form x^2+y^2 and the Geometry of (Convenient) Numbers
• Computation of Jacobsthal’s Function h(n) for n<50
• Symbolic Computation of degree-three covariants for a binary form, H. and Glen Wilson ’10
• The probability of relatively prime polynomials in Z_{p^k}[x].  H. and Jeff Hatley ’09