J. Hickman

activity

20152023

most citedNew Kakeya estimates using the polynomial Wolff axioms

2 citations · 6 across the 10 of their papers we have counts for

collaborators

Showing 2018 · math.CAShow all

3 papers · 2 filters

math.CA2018

Improved Fourier restriction estimates in higher dimensions

Jonathan Hickman, Keith M. Rogers

We consider Guth's approach to the Fourier restriction problem via polynomial partitioning. By writing out his induction argument as a recursive algorithm and introducing new geome…

math.CA2018

An abstract $L^{2}$ Fourier restriction theorem

Jonathan Hickman, James Wright

An $L^{2}$ Fourier restriction argument of Bak and Seeger is abstracted to the setting of locally compact abelian groups. This is used to prove new restriction estimates for varietie…

math.CA2018

The Fourier restriction and Kakeya problems over rings of integers modulo $N$

Jonathan Hickman, James Wright

The Fourier restriction phenomenon and the size of Kakeya sets are explored in the setting of the ring of integers modulo $N$ for general $N$ and a striking similarity with the cor…

Improved Fourier restriction estimates in higher dimensions

An abstract L2 Fourier restriction theorem

The Fourier restriction and Kakeya problems over rings of integers modulo N

An abstract $L^{2}$ Fourier restriction theorem

The Fourier restriction and Kakeya problems over rings of integers modulo $N$