|Office:||Jeffery Hall, Rm. 413|
|Research:||Commutative algebra, algebraic geometry, algebraic & differential topology, math finance|
Degrees & Accolades:
Ph.D. (Queen's University)
Affine semigroups mark the crossroad between algebraic geometry and commutative algebra. Geometrically, seminormal and normal semigroups are so close that it is of interest to consider whether the properties of normal semigroup rings can be extended to seminormal semigroup rings. My research focuses on characterizing Cohen-Macaulay property of semigroup rings in terms of Hilbert bases. For certain semigroup rings in dimension three, together with Dr. L. Roberts, we gave a detailed description of the Hilbert bases for Cohen-Macaulay semigroup rings by using a novel geometrical approach.