I have been part of the math
department at the University of Western Ontario since 2002. I
received my PhD at the University
of Michigan in 1999.
Research
I am interested in a mix of combinatorics, geometry, and algebra.
That includes algebraic and topological
aspects of matroid theory, and arrangements of hyperplanes. I like to
use techniques from algebraic geometry and commutative algebra in
combinatorial settings.
I have some preprints and publications available here.
Teaching
- Math 1120B, Fundamental Concepts in Mathematics
Other Activities
Conference and workshop organization:
Past events:- Arrangements at Home, a three-part online conference on recent developments in arrangement theory, summer 2020. Coorganized with Christin Bibby (Louisiana State University) and Alex Suciu (Northeastern).
- Workshop on Polyhedral Products in Homotopy Theory Fields Institute, Toronto, 20-24 January 2020. Coorganized with Tony Bahri (Rider University) and Jelena Grbic (Southampton).
- Arrangements at Western, May 21-31 2019. This included a workshop (May 23-25). Co-organized with Alex Suciu and Christin Bibby.
- Arrangements of Hypersurfaces, a one-day workshop (April 20th 2018) and an AMS special session at the 2018 Spring Eastern Meeting, April 21-22, 2018, Northeastern University, Boston, MA. Coorganized with Alex Suciu.
-
Topology of
Arrangements and Representation Stability, Oberwolfach, 14-20
January 2018, coorganized with Giovanni Gaiffi (Pisa), Rita Jimenez
Rolland (Oaxaca), and
Alex Suciu (Boston).
- CAAC 2016, Western, 22-24 January
2016, coorganized with Nicole
Lemire
(Western) and Hugh Thomas (UQAM), a three-day meeting in algebraic
combinatorics and its interactions with algebraic geometry and
commutative algebra. (The abstracts
page has slides from some of the talks.)
- Combinatorial Constructions in Topology, University of Regina, August 17-21, 2015, coorganized with Soumen Sarkar, Don Stanley (U. Regina) and Alex Suciu (Northeastern University). See the abstracts page for slides from some of the talks.
- Differential
and Combinatorial Aspects of Singularities, TU Kaiserslautern,
coorganized with Mathias
Schulze, Christian
Sevenheck, Uli
Walther, August 3-7, 2015. See the abstracts page for the slides
from some of the talks.
- 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 Tropicalization at BIRS, with June Huh and Alex Suciu, April 2014.
- Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties at the Mathematisches Forschungsinstitut Oberwolfach, with Alex Suciu, October 2012.
- An AMS 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, with Alex Suciu.
- A Conference in Honour of Peter Orlik at the Fields Institute in Toronto, with Dan Cohen and Nicole Lemire, August 2008.
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).
I was on sabbatical from July 2016 -- June 2017: I visited the University of Sydney from January through April, and ALTA at the University of Bremen from May through July. During my previous sabbatical in 2009--10, I visited the EPFL (Lausanne) from September through November, and the University of Oregon from January through summer 2010.
Postal Address
Department of Mathematics
Middlesex College
University of Western Ontario
London, ON N6A 5B7
Canada
Contact
| Email: |  |
| Phone: | +1 519 661 2111 x86527 |
| Office: | MC 118 |
Content
Links
former PhD Students:
- Priyavrat Deshpande (Chennai Mathematical Institute)
- Mehdi Garrousian
-
Mohsen Mollahajiaghaei (Huron University College)
- Ahmed Umer Ashraf
(Ghent University)
current PhD Students:
- I'm currently accepting new PhD students!
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