3 papers
math.NT2025
Counting rational points near manifolds: a refined estimate, a conjecture and a variant
Jonathan Hickman, Rajula Srivastava, James Wright
Refining an argument of the second author, we improve the known bounds for the number of rational points near a submanifold of of intermediate dimension under a natu…
math.CA2023
Lacunary maximal functions on homogeneous groups
Aswin Govindan Sheri, Jonathan Hickman, James Wright
We observe that classical arguments of Ricci--Stein can be used to prove bounds for maximal functions associated to lacunary dilates of a fixed measure in the setting of homo…
math.CA2016
Some remarks on the Lipschitz regularity of Radon transforms
Jonas Azzam, Jonathan Hickman, Sean Li
A set in the Euclidean plane is constructed whose image under the classical Radon transform is Lipschitz in every direction. It is also shown that, under mild hypotheses, for any s…