Research
publications
I study extremal combinatorics. In particular, I have been
studying extremal problems on the hypercube. Here are some of my results. Turán type problems on the hypercube: Polychromatic
colorings of subcubes of the hypercube, SIAM J. Discrete
Math. Vol. 22, No. 2 (2008), pp. 450–454. (preprint) Some
Turán type results on the hypercube, Discrete Math.
Vol. 309, No. 9 (2009), pp. 2905-2912. (preprint)
Turán type problems and polychromatic colorings on the
hypercube (ppt slides) (pdf slides)
Other publications
Here is a solution to a problem by Donald Knuth (with John Bonomo): Solution to Problem 1868, Math. Magazine,
Vol. 85, No. 2, April 2012, pp.154-155.
Undergraduate research supervised:
Spring 2010: Stephen Donnel,
Richard Ligo, and Aaron Zavora, The
search
for extremal graphs. Their talk (ppt
slides) (pdf
slides) won an MAA Outstanding Presentation Award at
MathFest 2010.
2010-11: Greg Clark,Tilings: Properties and periodicity.
Slides (ppt) (pdf). Greg's poster
won the First Year Student Research Prize at the Westminster
Undergraduate Research and Arts Celebration..
Spring 2011: Jenna Huston,Friendly partitions of graphs.
Slides (ppt) (pdf).