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 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 currently looking to take on new graduate students, primarily at the masters level, though Ph.D. candidates will be considered. The University of Lethbridge application process requires that prospective graduate students contact me before applying. Further information about our masters program is here and about our ph.d program is here.
I am looking to hire undergraduate research assistants to work on a variety of projects. This includes opportunites for full time summer positions and some part time opportunities. Interested students should contact me for more information. Some projects are primarily programming, others are involve more theoretical research. Additionally, students interested in summer research opportunities should keep in mind funding opportunities such as Chinook Summer Research Award or NSERC-USRA.
I am looking to recruit postdoctoral reserachers. Multiple funding opportunities exist. This includes opportunities through the Department of Mathematics and Computer Science or through the PIMS-PDF program. Interested candidates should contact me directly for more information.
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 .