Current Appointments & Affiliations
Phillip Griffiths Assistant Research Professor
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Density of rational points on some quadric bundle threefolds.
Journal Article Mathematische annalen · January 2024 We prove the Manin-Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1, 2). ... Full text CiteApplication of a polynomial sieve: Beyond separation of variables
Journal Article Algebra and Number Theory · January 1, 2024 Let a polynomial be given. The square sieve can provide an upper bound for the number of integral x ∊ [−B, B]n such that f(x) is a perfect square. Recently this has been generalized substantially: First to a power sieve, counting x ∊ [−B, B]n for which f(x ... Full text CiteUniform bounds for rational points on hyperelliptic fibrations
Journal Article Annali della Scuola Normale Superiore di Pisa - Classe di Scienze · January 1, 2023 We apply a variant of the square-sieve to produce an upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over P1 whose general fibre is a hyperelliptic curve. The implied constant does not depend o ... Full text CiteEducation, Training & Certifications
Swiss Federal Institute of Technology-ETH Zurich (Switzerland) ·
2018
Ph.D.