PhD Mathematics · University of British Columbia · 2006
office SC K10541
Ph.D. Mathematics, The University of British Columbia, 2006
M.Sc. Mathematics, The University of British Columbia, 2002
B.Sc. (First Class Honors) Mathematics, Simon Fraser University, 2000
Prior to joining the faculty at SFU I was a doctoral student of Dr. Michael Bennett's at UBC. My work was in the area of Number Theory, particularly elliptic curves and Diophantine equations. The main results of my thesis were a classification of rational elliptic curves with 2-torsion and bad reduction at possibly 2,3 and one other prime p, and applications of this result to generalized Fermat equations.
I did my master's thesis under the supervision of Dr. Dale Rolfsen in the field of Algebraic Topology and Combinatorial Group Theory. In particular, I worked on determining the "local indicability" of the finite-type Artin groups. Artin groups appear in topology as fundamental groups of the complements of certain complex hyperplane arrangements. The study of these groups has recently become a very active area of research and the work done in my thesis provides some results about the structure of these groups.
Both works can be found on my personal webpage.