Combinatorics, partition theory, q-series, generating function identities
Congruences for 9-regular partitions modulo 3. Ramanujan Journal. Read More
A Ramanujan congruence analogue for Han's hook-length formula mod 5, and other symmetries.
Acta Arithmetica. Read More
(Joint w/Robert Boyer) Stabilization of coefficients for partition polynomials. Integers.
2-arity and 3-arity for regular partitions. There are no arithmetic progressions An+B
in which the partition numbers p(An+B) are all even or odd, and there are almost certainly
none which have a constant residue modulo 3. Yet many such progressions exist for
the m-regular partitions for many m. I am interested in why this is the case and how
we might be able to prove general theorems about such progressions in large families.
Perhaps the investigation will shed light on the parity and 3-arity of the usual partition
Western Illinois University, Visiting Asst Prof.: Fall 2012 - Spring 2013
Teaching Assistant Professor, Drexel University: Fall 2007 - Spring 2010