Number Theory, commutative algebra, combinatorial geometry, university mathematics education
My research is in number theory and combinatorial algebra. I study integer-valued polynomials and how to find bases for the modules they create. I am especially interested in the case of homogeneous integer valued polynomials, and how to use combinatorial geometry to construct these.
I am also interested in finding new ways to get more people to enjoy mathematics and how to get students more involved while learning math.
The valuative capacity of the set of sums of d-th powers, J. Number Theory 171 (2017), 155–168.