Algebra & Discrete Mathematics
Algebra & Discrete Mathematics research in the department includes commutative algebra and combinatorics.
Boynton studies commutative rings that do not necessarily enjoy the Noetherian property. In particular, he investigates Prüfer and coherent-like conditions in integer-valued polynomials and more general pullback constructions. Boynton also studies various factorization properties in integral domains.
Ciuperca's interests lie in the field of commutative algebra. The topics of his research are multiplicity theory, asymptotic properties of ideals, Rees algebras, Hilbert functions and integral closure of ideals.
Greenwood’s research involves combinatorics, probability, and mathematical biology. Ongoing projects analyze RNA folding algorithms by using tools from discrete mathematics and analytic combinatorics. He is also interested in models of percolation from mathematical physics.
Striker studies enumerative, geometric, and dynamical algebraic combinatorics and is especially interested in connections to statistical physics. Combinatorial objects she investigates include: plane partitions, alternating sign matrices, posets, polytopes, and tableaux.