Measured against that, the Kakeya conjecture – a problem stemming from a 1917 thought experiment by Japanese mathematician ...

Hannah Cairo has solved the so-called Mizohata-Takeuchi conjecture, a problem in harmonic analysis closely linked to other ...

One of the oldest and simplest problems in geometry has caught mathematicians off guard—and not for the first time. Since antiquity, artists and geometers have wondered how shapes can tile the ...

Arithmetic geometry is a vibrant field at the intersection of number theory and algebraic geometry, focussing on the study of polynomial equations and the distribution of their rational solutions.

That changed, however, when Haag and Kertzer’s explorations produced data that called a well-known math conjecture into question. The local-global conjecture, widely accepted for the better part of ...

This hypothesis was dubbed the periodic tiling conjecture. In a preprint posted in November , Greenfeld, along with Terence Tao of UCLA, finally settled the conjecture—but not in the way ...

‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture. By Jordana Cepelewicz. December 15, 2022. Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they ...