My primary research interests are in analytic number theory. My publications are listed below, from oldest to newest. Please note: published versions of these papers may differ slightly from the versions below.
On the counting function for the generalized Niven numbers, J. Théor. Nombres Bordeaux, 21 no. 3 (2009), pp. 503-515. (With R. Daileda, J. Jou, E. Rossolimo, and E. Trevino) (pdf)
Proof of the Alder-Andrews Conjecture, Proc. of the Amer. Math. Soc., 139 no. 1 (2011), pp. 63-78. (With C. Alfes and M. Jameson) (pdf)
On a conjecture of Andrews, Math. Res. Lett., 17 no. 6 (2010), pp. 1151-1154. (With M. Jameson) (pdf)
Almost-primes represented by quadratic polynomials, Acta Arith., 151 (2012), pp. 241-261. (pdf)
Gauss sums over finite fields and roots of unity, Proc. of the Amer. Math. Soc., 139 no. 4 (2011), pp. 1273-1276. (pdf)
Eta-quotients and theta functions, Adv. in Math., 241 (2013), pp. 1-17. (pdf)
Pretentiously detecting power cancellation, Math. Proc. Camb. Phil. Soc., 154 no. 3 (2013), pp. 481-498. (With J. Jung) (pdf)
Multiplicative functions dictated by Artin symbols, Acta Arith., accepted for publication. (pdf)
Representation by ternary quadratic forms, submitted. (pdf)
My thesis was titled Topics in analytic number theory and consisted of papers 2-9 above, together with a unifying introduction. If you'd like to read it, you may do so here.