Maryna Viazovska of the École Polytechnique Fédérale de Lausanne (EPFL) proved that the E8 lattice provides the densest packing of identical spheres in eight dimensions while also solving certain problems in Fourier analysis.
Read about Viazovska’s work in detail:
Sphere-Packing Solved in Higher Dimensions, Quanta Magazine
Out of a Magic Math Function, One Solution to Rule Them All, Quanta Magazine
The 2022 Fields Medal winners are: