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math.CA2025
The Kakeya Conjecture: where does it come from and why is it important?
Jonathan Hickman
Roughly speaking, the Kakeya Conjecture asks to what extent lines which point in different directions can be packed together in a small space. In , the problem is relatively…
math.CA2025
Improved bounds for the strong spherical maximal operator
Jonathan Hickman, Joshua Zahl
We study the mapping properties of the strong spherical maximal function, which is a multiparameter generalisation of Stein's spherical maximal function. We show that this op…