Explore Quanta’s geometry coverage.| Quanta Magazine
A new proof marks major progress toward solving the Kakeya conjecture, a deceptively simple question that underpins a tower of conjectures.| Quanta Magazine
Joseph Howlett is a math writer for Quanta Magazine. His articles have been published Scientific American, The San Francisco Chronicle and Gizmodo, among other places. He has a Ph.D.| Quanta Magazine
On its surface, the Kakeya conjecture is a simple statement about rotating needles. But it underlies a wealth of mathematics.| Quanta Magazine
I am a Professor at the Department of Mathematics, UCLA. I work in a number of mathematical areas, but primarily in harmonic analysis, PDE, geometric combinatorics, arithmetic combinatorics, analytic number theory, compressed sensing, and algebraic combinatorics. I am part of the Analysis Group here at UCLA, and also an editor or associate editor at several mathematical journals. Here are my papers and preprints, my books, and my research blog. | www.math.ucla.edu
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Hello! I'm Hong Wang. I did my PhD with Prof. Larry Guth at MIT in 2019. I'm interested in Fourier analysis and related problems. For example, if we know that the Fourier transform of a function is supported on some curved objects, a sphere, or some "curved" collection of discrete points, what can| sites.google.com
The most up-to-date version of my webpage can be found here.| personal.math.ubc.ca
We study sets of $δ$ tubes in $\mathbb{R}^3$, with the property that not too many tubes can be contained inside a common convex set $V$. We show that the union of tubes from such a set must have almost maximal volume. As a consequence, we prove that every Kakeya set in $\mathbb{R}^3$ has Minkowski and Hausdorff dimension 3.| arXiv.org