Research Interests

I work in number theory, primarily on Diophantine approximation and Diophantine equations.

Preprints and Publications

1. Effective S-unit Equations Beyond 3 Terms : Newman's Conjecture (with Mike Bennett). Acta Arith. (to appear) arXiv.
2. Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree (with Yann Bugeaud). Submitted. arXiv.
3. Arithmetic Progressions in Squarefull Numbers (with Mike Bennett and Tsz Ho Chan). Int. J. Number Theory (to appear). arXiv.
4. Effective Methods for Norm-Form Equations. Math. Ann. (to appear). arXiv.
5. A Note on Pencils of Norm-Form Equations (with Mike Bennett). Acta Arith. 203:1 (2022), 19-26. arXiv.