Stewart Wilcox

I am Max Wyman assistant professor in the University of Alberta Department of Mathematical and Statistical Sciences. I graduated from the Harvard PhD program in 2011, under the supervision of Pavel Etingof.

Contact Details

Address	Stewart Wilcox University of Alberta Department of Mathematics and Statistics, CAB 632 Edmonton, AB T6G2G1 Canada
E-mail	wilcox1@ualberta.ca
Phone	780 492-5725

Research

I'm interested in noncommutative algebra and representation theory. Here is some stuff I've written or done.

My PhD thesis, Representations of the rational Cherednik algebra,
Supports of representations of the rational Cherednik algebra of type A, http://arxiv.org/abs/1012.2585
(with Shona Yu) On the freeness of the cyclotomic BMW algebras: admissibility and an isomorphism with the cyclotomic Kauffman tangle algebras, http://arxiv.org/abs/0911.5284
(with Shona Yu) On the cellularity of the cyclotomic Birman-Murakami-Wenzl algebras, Journal of the London Mathematical Society, to appear
(with Shona Yu) The cyclotomic BMW algebra associated with the two string type B braid group, Communications in Algebra 39 (2011), Issue 11, 4428-4446
Reduction of the Hall-Paige conjecture to sporadic simple groups, Journal of Algebra 321 (2009), Issue 5, 1407-1428
My minor thesis on the convexity of the moment map.
I gave a talk on higher dimensional rubix cubes.
Cellularity of diagram algebras as twisted semigroup algebras, Journal of Algebra 309 (2007), Issue 1, 10-31
Long wavelength behavior of the fundamental mode in microstructured optical fibers, Optics Express 13 (2005) 1978-1984 (Co-authors L. C. Botten, C. M. de Sterke, B. T. Kuhlmey, R. C. McPhedran, D. P. Fussell, and S. Tomljenovic-Hanic)
Modeling of defect modes in photonic crystals using the fictitious source superposition method, Physical Review E 71 (2005) 056606 (Co-authors L. C. Botten, R. C. McPhedran, C. G. Poulton and C. M. de Sterke)
Complementation in the group of units of matrix rings, Bulletin of the Australian Mathematical Society 70 (2004), no. 2, 223-227
A silly latex file that I wrote; compile repeatedly and watch the number of pages.

Teaching

In Fall 2011 I taught Math 322 - Graph Theory.
In Winter 2012 I am teaching Math 102 - Linear Algebra.