- with Michael A. Bennett, Maurice Mignotte, and Samir Siksek,
*Shifted powers in binary recurrence sequences*, Math. Proc. Camb. Phil. Soc. 158 (2015), no. 2, 305--329. - with Michael A. Bennett, Imin Chen, and Soroosh Yazdani,
*Generalized Fermat equations: a miscellany*, Int. J. Number Theory. 11 (2015), no. 1, 1--28. - with Samir Siksek,
*Perfect powers expressible as sums of two fifth or seventh powers*, Acta Arith. 164 (2014), no. 1, 65--100. - with Michael A. Bennett, Imin Chen, and Soroosh Yazdani,
*On the equation a*, Acta Arith. 163 (2014), no. 4, 327--343.^{3}+b^{3n}=c^{2} - with Michael A. Bennett,
*Klein forms and the generalized superelliptic equation*, Ann. of Math. 177 (2013), no. 1, 171--239. - with Soroosh Yazdani,
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*A refined modular approach to the Diophantine equation x*, Int. J. Number Theory 7 (2011), no. 5, 1303--1316.^{2}+y^{2n}=z^{3} - with Michael Coons,
*On the residue class distribution of the number of prime divisors of an integer*, Nagoya Math. J. 202 (2011), 15--22. - with Nils Bruin,
*Visualizing elements of Sha[3] in genus 2 jacobians*, pages 110--125 of Guillaume Hanrot, François Morain, and Emmanuel Thomé (editors), Algorithmic Number Theory, 9th International Symposium, LNCS 6197, Springer--Verlag, 2010. -
*Classical and modular methods applied to Diophantine equations*, Ph.D. Thesis (2008), Utrecht University, ISBN: 978-90-393-4867-3. -
*Lower bounds for numbers of ABC-hits*, J. Number Theory 128 (2008), no. 6, 1864--1873. -
*Counting integral Lamé equations by means of dessins d'enfants*, Trans. Amer. Math. Soc. 359 (2007), no. 2, 909--922.

- with van den Berg et al.,
*Understanding the electromagnetic field in an MRI scanner*, Proceedings of the 58th European Study Group Mathematics with Industry (2007), 69--90.

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