Research
My research topic is focused on the Davenport-Heilbronn method over the integers. More specifically I study solvability problems that involve inequalities such as the approximation of a integer by the sum of s monomials with coefficients that are real but not rational. Moreover I am interested in the function field analogue of Waring-like problems. For the past year I have also been working on similar concepts over Z/qZ for a generic integer q.
Talks
Student Number Theory Seminar, Manhattan, Kansas, November 10, 2023 An application of Davenport-Heilbronn method, part 2
Student Number Theory Seminar, Manhattan, Kansas, November 3, 2023 An application of Davenport-Heilbronn method, part 1
32 ÈMES Journées Arithmétiques 2023, Nancy, France, July 3–7, 2023 Solutions to polynomial congruences with variables restricted to a box
Kansas Mathematics Graduate Student Conference, Manhattan, Kansas, April 23, 2022 The Davenport Heilbronn method on Diophantine Inequalities