I work in the field of explicit methods in number theory, using algebraic techniques such as class field theory and Galois cohomology. My research involves making abstract constructions more concrete and amenable to computation. I am particularly interested in localglobal principles in arithmetic geometry, and when and why such principles fail.
Publications and preprints
The texts available here may differ from the published versions.

A bound on the primes of bad reduction for CM curves of genus 3, joint with Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Ekin Ozman and Marco Streng, submitted.
 Nonordinary curves with a Prym variety of low prank, joint with Turku Ozlum Celik, Yara Elias, Burcin Gunes, Ekin Ozman, Rachel Pries and Lara Thomas. Women in Numbers Europe 2, to appear.

The Hasse norm principle for abelian extensions, joint with C. Frei and D. Loughran. Amer. J. Math, to appear.

Shadow lines in the arithmetic of elliptic curves, joint with J. Balakrishnan, M. Çiperiani, J. Lang and B. Mirza. Directions in Number Theory: Proceedings of the WIN3 Workshop, Springer, 2016, 3355.

The proportion of failures of the Hasse norm principle, joint with T.D. Browning. Mathematika, 62, Issue 02, (2016), pp. 337–347.

Strangely dual orbifold equivalence I, joint with Ana Ros Camacho, includes an appendix by Ana Ros Camacho and Federico Zerbini. Journal of Singularities 14 (2016).

Transcendental Brauer groups of products of CM elliptic curves. J. London Math. Soc., 93 (2), (2016), 397–419.

Bad reduction of genus three curves with complex multiplication, joint with I. Bouw, J. Cooley, K. Lauter, E. Lorenzo Garcia, M. Manes and E. Ozman. Women in Numbers Europe, Research Directions in Number Theory, Association for Women in Mathematics Series Volume 2, Springer, DOI: 10.1007/9783319179872

Realising the cup product of local Tate duality, J. Théor. Nombres Bordeaux 27 (2015), 219 – 244.

Computing the CasselsTate pairing on the 3Selmer group of an elliptic curve, joint with T.A. Fisher, Int. J. Number Theory 10(2014), no. 7, 1881 – 1907.

Explicit local reciprocity for tame extensions. Math. Proc. Camb. Philos. Soc. 152, Issue 03, April 2012, 425 – 454.
Ph.D. Thesis
Central simple algebras, cupproducts and class field theory. University of Cambridge, 2012.