My dissertation has yielded the following papers:
• “On the Diophantine equation X^{2N} + 2^{2α} 5^{2β} Y^{2γ} = Z^5 ,” with H. G. Grundman, preprint.
• “The Nonexistence of Solutions to Certain Families of Diophantine Equations,” Ph.D. dissertation, Bryn Mawr College: ProQuest/UMI, 2015.
• “Diophantine approximation and the equation (a^2 cx^k −1)(b^2 cy^k −1) = (abcz^k −1)^2 ,” with H. G. Grundman, J. Number Theory, 154 (2015), 74–81.
• “On the Diophantine equation NX^2 + 2^L 3^M = Y ^N ,” with H. G. Grundman, J. Number Theory 141 (2014), 214–224.
I also have the following publications from my Master’s thesis with Kenneth Berenhaut:
• “Explicit bounds for third-order difference equations,” with K. Berenhaut and S. Stević, ANZIAM J. 47 (2006), no. 3, 359–366.
• “Second-order linear recurrences with restricted coefficients and the constant (1/3)^{1/3} ,” with K. Berenhaut, Math. Inequal. Appl. 9 (2006), no. 3, 445–452.
• “Explicit bounds for second-order difference equations and a solution to a question of Stević,” with K. Berenhaut, J. Math. Anal. Appl. 305 (2005), no. 1, 1–10.
Here is a PDF of the Publications List.