Research

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 local-global principles in arithmetic geometry, and when and why such principles fail.

Publications and preprints

The texts available here may differ from the published versions.

  • Non-ordinary curves with a Prym variety of low p-rank, joint with Turku Ozlum Celik, Yara Elias, Burcin Gunes, Ekin Ozman, Rachel Pries and Lara Thomas, submitted.

 

Ph.D. Thesis

Central simple algebras, cup-products and class field theory. University of Cambridge, 2012.