I have been in the math
department at the University of Western Ontario since 2002. I
received my PhD at the University
of Michigan in 1999.
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 -- the final version of my lecture notes can be found here, to
appear in the Toulouse Math Journal.
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.
- Math 9613, Topics in Singularity Theory (Arrangements of
Hyperplanes), a reading course.
Conference and workshop organization:
- Combinatorial Constructions in Topology, University of Regina, August 17-21, 2015, coorganized
with Soumen Sarkar, Don Stanley (U. Regina) and Alex Suciu (Northeastern University).
and Combinatorial Aspects of Singularities, TU Kaiserslautern,
coorganized with Mathias
Walther, August 3-7, 2015.
- Computational Geometric Topology in Arrangement Theory, ICERM (Providence, RI), July 6-10, 2015, with Nero Budur, Dani Matei, Laurentiu Maxim, Hal Schenck, and Max Wakefield.
- A focussed research group
Hyperplane Arrangements, Wonderful Compactifications, and
at BIRS, with June
and Alex Suciu,
Fundamental Groups of Hyperplane Arrangements, Wonderful
Compactifications, and Real Toric Varieties at the Mathematisches
Forschungsinstitut Oberwolfach, with Alex Suciu, October
- An AMS special session "The Algebraic Geometry
Hyperplane Arrangements" at the AMS
spring sectional meeting in Worcester, MA, April 9-10, 2011,
a workshop at Northeastern University on April 8, with Alex Suciu.
- A Conference
in Honour of Peter Orlik at the Fields Institute in Toronto,
with Dan Cohen
and Nicole Lemire,
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.
was on sabbatical from July 2009 -- June 2010: I visited
the EPFL (Lausanne) from September
through November, and the University
Oregon from January through summer 2010.