(with Samir Siksek) Functions, reciprocity and the obstruction to divisors on curves. J. London Math. Soc., 2008. (article)
(with Nils Bruin, Victor Flynn and Adam Logan) The Brauer–Manin obstruction and Sha[2]. LMS J. Comput. Math., volume 10, 2007, pp. 354–377. (article)
Efficient evaluation of the Brauer–Manin obstruction. Math. Proc. Camb. Phil. Soc., volume 142(1), 2007, pp. 13–23. (Journal DVI PDF)
Brauer groups of diagonal quartic surfaces. J. Symbolic Computation, volume 41, 2006, pp. 544–558. (Journal DVI PDF)
(with Sir Peter Swinnerton-Dyer) Computing the Brauer–Manin obstructions. Math. Proc. Camb. Phil. Soc., volume 137 (2004), pp. 1–16. (Journal DVI PDF)
Efficient computation of the Brauer–Manin obstruction. Slides from seminar, Explicit Arithmetic Geometry workshop, Institut Henri Poincaré, Paris, December 2004. (DVI PDF)
Computing Galois groups by specialisation. Poster at ANTS VI, University of Vermont, June 2004. (DVI PDF) Condensed version in SIGSAM bulletin Communications in Computer Algebra, volume 38, no. 3 (September 2004).
Computations on diagonal quartic surfaces. PhD thesis, University of Cambridge, 2002.