- Divisor sums representable as the sum of two squares

*submitted, 14 pages* - The distribution of sums and products of additive functions

(w/ G. Martin)

*submitted. 23 pages.* - The distribution of the number of subgroups of the multiplicative group

(w/ G. Martin)

J. Australian Math. Soc., to appear. 53 pages. - Two problems concerning irreducible elements in rings of integers of number fields

(w/ P. Pollack)

Bull. Aust. Math. Soc. 96 (2017), pp. 44-58 - Orders of reductions of elliptic curves with many and few prime factors

Int. J. Number Theory, 13 (2017), pp. 2115-2134 - Bounded gaps between prime polynomials with a given primitive root

Finite Fields and Their Applications 37 (2016), pp. 295-310 - On the number of prime factors of values of the sum-of-proper-divisors function

J. Number Theory 150C (2015), pp. 120-135

- Distributions of polynomials of additive functions

Canadian Number Theory Association, July 2018 - Counting subgroups of the multiplicative group

West Coast Number Theory, December 2017

*Winner of the Emma and Dick Lehmer Prize* - Counting irreducible divisors and irreducibles in progressions

Alberta Number Theory Days, March 2017 - Counting irreducible divisors and irreducibles in progressions

INTEGERS, October 2016 - Orders of reductions of elliptic curves with many and few prime factors

Illinois Number Theory Conference, August 2015 - Bounded gaps between primitive polynomials in \mathbb{F}_q[t]

Conference in Honor of Carl Pomerance's 70th Birthday, June 2015 - The number of prime factors of s(n)

AMS Sectional Meeting at UNC-Greensboro, November 2014