Generalizing Magnus' characterization of free groups to some free products (with Brandon Seward), [PDF], to appear in Comm. in Algebra.
Approximating a group by its solvable quotients, [PDF], New York J. Math. 17 (2011) 699-712.
Quantifying residual finiteness of arithmetic groups (with Tasho Kaletha) [PDF], Compositio Mathematica (2012), volume 148, issue 03, pp. 907-920.
Simple closed curves, word length, and nilpotent quotients of free groups
(with Asaf Hadari) [PDF], Pacific J. Math, Vol. 254 (2011), No. 1, 67-72.
Asymptotic growth and least common multiples in groups (with D. B. McReynolds) [PDF], Bulletin of the LMS (2011); doi: 10.1112/blms/bdr038.
Bertrand's postulate and subgroup growth (with D. B. McReynolds) [PDF], J. Algebra 324 (2010) 793-819.
Parasurface groups [PDF], Pacific J. Math., Vol. 248 (2010), No. 1, 12-30.
Quantifying residual finiteness [PDF, J. Algebra], J. Algebra (2009).
Math 310 (2013) - Choice and Chance - UofM
Math 351 (2011-2012) - Principles of Analysis - UofM
Math 195 (2009-2010) - Multivariable calculus and linear algebra - UofC
Math 130s (2008) - Single variable calculus - UofC
Hobbies and other stuff:
I've been enjoying bouldering. If you ever want to join me, let me know!
a picture of me with my advisor and some academic siblings (2010).