- Graham Everest, Patrick Ingram, Valéry Mahé, and Shaun Stevens, The uniform primality conjecture for elliptic curves, Acta Arith. 134 (2008), no. 2, 157–181.[MR/arXiv]
- Graham Everest, Patrick Ingram, and Shaun Stevens, Primitive divisors on twists of Fermat's cubic, LMS J. Comput. Math. 12 (2009), 54–81.[MR/arXiv]
- Xander Faber, Benjamin Hutz, Patrick Ingram, Rafe Jones, Michelle Manes, Thomas J. Tucker, and Michael E. Zieve, Uniform bounds on pre-images under quadratic dynamical systems, Math. Res. Lett. 16 (2009), no. 1, 87–101.[MR/arXiv]
- Patrick Ingram, Cubic polynomials with periodic cycles of a specified multiplier, preprint (2009), 26 pages.[arXiv]
- Patrick Ingram, Multiples of integral points on elliptic curves, J. Number Theory 129 (2009), no. 1, 182–208.[MR/doi]