Teaching
I am a 2009-10 Project
NExT
fellow. Click here for some slides
from a
panel on pre-tenure materials I co-organized at MathFest 2010.
Some of my teaching files from CMU
are here. I intend to put
some
of my Westminster files up soon (they are currently imprisoned
in
course management systems).
If you are a student who would like a recommendation, please follow
these instructions.
Research
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: (pdf) Some
Turán type results on the hypercube, Discrete Math.
Vol.
309, 9 (2009), pp. 2905-2912.
preprint (pdf)
Turán type problems and polychromatic colorings on the
hypercube
(ppt slides) (pdf slides)
Here is a solution to a problem by Donald Knuth (co-authored 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).
