
Papers:
Hopf structures on the multiplihedra. (with A. Lauve & F. Sottile)
submitted ,
2009. [ arXiv ] [
preprint ]
New Hopf structures on binary trees. (with A. Lauve & F. Sottile)
to appear,
DMTCS Proceedings, 21st Annual Conference on Formal Power Series and Algebraic
Combinatorics. (Hagenberg, Austria, 2009). [ arXiv ] [
preprint ]
Geometric combinatorial algebras: cyclohedron and simplex. (with D. Springfield)
to appear, Journal of Algebraic Combinatorics , 2010.
[ arXiv ] [ preprint ]
Marked tubes and the graph multiplihedron. (with S.L. Devadoss)
Algebraic and Geometric Topology , 8(4) 2081–2108, 2008.
[ arXiv ] [ journal ]
Convex Hull Realizations of the Multiplihedra
Topology and its Applications, 156, 326347, 2008.
[ arXiv ] [ journal ]
Quotients of the multiplihedron as categorified associahedra.
Homotopy, Homology and Applications, vol. 10(2), 227–256, 2008. [ arXiv ] [ journal ]
Operads in iterated monoidal categories (with J. Siehler, E. Seth Sowers)
Journal of Homotopy and Related Structures, 2, 143, 2007. [ arXiv ] [ journal ]
Classification of braids which give rise to interchange (with F. Humes)
Algebraic and Geometric Topology, 7, 12331274, 2007. [ arXiv ] [ journal ]
Vertically iterated classical enrichment
Theory and Applications of Categories, 12, 299325, 2004. [ arXiv ] [ journal ]
Enrichment over iterated monoidal categories
Algebraic and Geometric Topology, 4, 95119, 2004. [ arXiv ] [ journal ]
Selected talks:
(see CV for chronology)
From the Cornell Chronicle :
In braneworld theory, the ends of strings are anchored in our brane, so the particles we see can only move within the brane.
But the particles that carry the gravitational force, known as gravitons, are closed strings  little Cheerios  and can "leak" out of the brane.
This explains why gravity is much weaker than the electromagnetic force and the strong and weak nuclear forces.
It also offers a possible explanation for the "dark matter" that astronomers need to explain why the mass of the universe
doesn't agree with the observed objects. Dark matter could be in an adjacent brane, with its gravitons leaking into ours.
astronomy photos, CCD images
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