My research is in algebraic topology. I am
particularly interested to connections with geometry,
mathematical physics and number theory.
work has focused on the homotopy theory of function, configuration,
and moduli spaces. If it were possible to reduce the last 8 or 10
years to buzzwords, they would be: string topology, equivariant
homotopy theory, Hochschild and cyclic homology, operads,
Batalin-Vilkovisky and gravity algebras, moduli and their
compactifications, prospectra, stable splittings, Brown-Gitler spectra,
Hurwitz spaces, homological stability and asymptotics, braid groups,
and (topological) (conformal) field theories.
Many shameless thanks to Zajj Daugherty for
the formatting of this site, and Katie Moyer for the photo.