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