Research Focus
Number theory
I study number theory, specifically Diophantine approximation and its applications to solving equations in integers. I am also interested in computational number theory, an area where large scale calculations are used to provide evidence in support of existing conjectures and gather extensive data on various mathematical invariants.
Publications
- Absolute bound on the number of solutions of certain Diophantine equations of Thue and Thue-Mahler type, 2022 (to appear in J. de Théorie des Nombres de Bordeaux).
- On the generalization of the gap principle, Periodica Mathematica Hungarica 87, pp. 119–151, 2023.
- On the automorphism group of a binary form associated with algebraic trigonometric quantities, J. of Number Theory 240, pp. 325–356, 2022.
- On the area of the fundamental region of a binary form associated with algebraic trigonometric quantities, Mathematika 67 (2), pp. 532–551, 2021.
- Unconditional class group tabulation of imaginary quadratic fields to | Δ|<240 (with M. J. Jacobson, Jr.), Mathematics of Computation 300 (85), pp. 1983–2009, 2016.
