- Generalized Fermat equations: A miscellany (With: M.A. Bennett, I. Chen, and S.R. Dahmen. submitted)
- On the equation a^3+b^{3n}=c^2 (With: M.A. Bennett, I. Chen, and S.R. Dahmen. submitted)
- A local version of Szpiro's Conjecture (with Mike Bennett. Published in Expermental Math.)
- Level Lowering Modulo Prime Powers and Generalized Fermat Equations (with Sander Dahmen. Published in Canad. J. Math.)
- Modular Abelian Varieties of Odd Modular Degree (Published in Algebra Number Theory)
- Fekete Like Polynomials (with Kevin Hare. Published in J. Number Theory)
- Ternary Diophantine Equations of Signature (p,p,3) (with Mike Bennett and Vinayak Vatsal. Published in Compos. Math.)
- Further results on derived sequences (with Kevin Hare. Published in Journal of Integer Seq.)
- Morphisms, and Matrices. Mathematical Foundations of Computer Science. (with Sabin Cautis, et al. Published in Theoret. Comput. Sci.)
- Quasiself-similarity and multifractal analysis of Cantor measures. (with Katheryn Hare. Published in Real Anal. Exchange)
- Multiplicative Functions and $k$-automatic Sequences (Published in J. Théor. Nombres Bordeaux)
- An Extremal Propery of Fekete Polynomials (with Peter Borwein and Stephen Choi. Published in Proc. Amer. Math. Soc.)
- My Thesis: Modular Abelian Varieties of Odd Modular Degree

- Elliptic curves with minimal discriminant M^{6l} p^r
- On the greatest prime factor of elliptic divisibility sequences (with Amir Akbary)
- On the valuation of elliptic net polynomials (with Amir Akbary and Jeff Bleaney)
- Elliptic Weiferich primes

- S-unit equations and ABC triples
- Perfect powers in elliptic nets

Useful notes

- Generalizing level lowering and raising (An archive of a webreport from MSRI summer school in computation number theory in 2006)