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"The superior man is modest in his speech, but he exceeds in his actions." --Unknown
"It is only imperfection that complains of what is imperfect. The more perfect we are, the more gentle and quiet we become towards the defects of others." --Joseph Addison
"I am only one, but I am one. I cannot do everything, but I can do something. And I will not let what I cannot do interfere with what I can do." --Edward Everett Hale
Low-dimensional topology, mapping class groups, classical 3-manifold topology, bordism theory, knot theory, and group theory
Space-Efficient Knot Mosaics for Prime Knots with Mosaic Number 6, (with D. Knowles), Submitted for publication, 2018.
Tile number and space-efficient knot mosaics, (with D. Knowles), Journal of Knot Theory and Its Ramifications, Volume 27, Issue 6, May 2018.
On the Andreadakis-Johnson Filtration of the Automorphism Group of a Free Group, (with F. Cohen and A. Pettet), Journal of Algebra, Volume 329, Issue 1, March 2011, pp. 72-91.
Bordism Invariants of the Mapping Class Group, Topology, Volume 45, Issue 5, September 2006, Pages 851-886.
Bordism Invariants of the Mapping Class Group, Mathematics ArXiv Posting, (See publication in Topology for final version.)
Bordism Invariants of the Mapping Class Group, Thesis (Updated 5/20/2004)