My primary area of research is algebraic number theory.
The aspects of number theory I am most often involved with typically have strong connections to
algebraic geomery particularly to algebraic groups or to computational problems.
Much of my older research was motivated by the study of Shimura varieties and automorphic forms.
The most significant current project I am involved with is part of the Langlands program and involves geometric interpretations of the local Langlands correspondance for p-adic groups. This work is part of an international collaboration through the Automorphic Representations Research Group. My contributions focus on geometric aspects.
Other active projects involve the study of pseudo-primes, classifications of subgroups of algebraic groups, developing effective and efficiently computable bounds for various prime (ideal) counting functions, and computing tabulations of number fields of low discriminant to name a few.
I have other less active interest, for instance lattices including both the study of local densities and their use in cryptography, and I am broadly open to exploring different aspects of number theory and algebraic geometry.
I became an Associate Professor at the University of Lethbridge in July 2021. I have been an Assistant Professor at the University of Lethbridge sinse Fall 2017. Prior to coming to the University of Lethbridge I spent two years as a PIMS Postdoctoral Fellow at the University of Calgary attached to the PIMS CRG: Explicit Methods for Abelian Varieties. Before this I was a postdoctoral researcher at Queen's University from 2013-2015. I did my Ph.D. research at McGill University under the supervision of Prof. Eyal Goren on problems in the theory of orthogonal Shimura varieties, defending my thesis in June 2013. I hold a Masters degree in Number theory from McGill (2009) and an Honours degree in Computer Science and Pure Mathematics from the University of Waterloo (2007). I have about 24 months work experience as a software developer.
My CV can be found here.
My publications and preprints are here. and (some other miscellaneous documents are here)
Lists of Current and Former Students
I am always reviewing applications for undergraduate research projects and prospective graduate students and postdoctoral researchers. Important information for candidates is available here.
I grew up in Nepean (an amalgamated suburb of Ottawa).
I can, and on occasion do, speak French.
I have been to all the provinces of Canada, I have not yet visited the territories.
Outside of Academics I enjoy many things:
Biking (to far away places), Hiking (in pretty places), Climbing (up walls and cliffs), Scrambling (up mountains), Skating (when global warming hasn't ruined winter), Sailing (though it is better with wind), Swimming (or getting crushed by waves), Board Games (construction is fun, but normally these are made of cardboard), Computer Games (took 10000+ fish for a turtlemount), Plants (many theories exist as to why they were in my office), Baking (especially chocolate things), Camping (even when the tent is tiny), Cottages (especially when others are there), Fixing Things (Even if sometimes they end up more broken). Sometimes I even like Shoveling (it is a good way to keep warm). Not such a fan of what was happening to my head here (but the rest of that week was fun).
When I get around to it I may add some more links and things here.
I used to program fun things back when Java was still cool.
Here are some of the games I made with other people for courses:
It is my understanding no website is complete without bunny and cat pictures, these can be found: Cat and Bunny .