### 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|<2*(with M. J. Jacobson, Jr.), Mathematics of Computation 300 (85), pp. 1983–2009, 2016.^{40}