My mathematical interests fit roughly under a heading of algebraic
combinatorics. More precisely, this includes arrangements of
hyperplanes and subspaces, combinatorial aspects of rational homotopy
theory, and "toric topology."
I have some preprints and publications available here.
I gave some lectures on tropical compactifications of arrangement complements in June, 2012 at the summer school Arrangements in Pyrenees -- notes will be available here before too long.
Here is a pdf version of a talk I gave at the BIRS meeting
Topological methods in toric geometry, symplectic geometry and
I am currently accepting new PhD students.
With Alex Suciu, I
organized a special session "The Algebraic Geometry and Topology of
Hyperplane Arrangements" at the AMS
spring sectional meeting in Worcester, MA, April 9-10, 2011, preceded by
a workshop at Northeastern University on April 8.
I am a fan of Macaulay
2 (software for commutative algebra and algebraic geometry). Greg Smith
and I have written a package for computation with hyperplane
arrangements. It is included with the standard Macaulay 2
distribution (versions ≥ 1.0): the latest version of the package is
also available here for download.