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Fields Medal Video: Maryna Viazovska

2026-04-20 | original
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Why This Matters

Maryna Viazovska's groundbreaking proof that the E8 lattice offers the densest sphere packing in eight dimensions advances mathematical understanding and has potential implications for fields like cryptography, data compression, and quantum computing. Her work exemplifies how pure mathematical research can influence technological innovations and deepen our grasp of complex structures.

Key Takeaways

Maryna Viazovska of the École Polytechnique Fédérale de Lausanne (EPFL) proved that the E 8 lattice provides the densest packing of identical spheres in eight dimensions while also solving certain problems in Fourier analysis.

This video was presented during the opening ceremony of the International Congress of Mathematicians in Helsinki on July 5, 2022, organized by the International Mathematical Union.

Read about Viazovska’s work in detail:

In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math, Quanta Magazine

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:

Explore topics: epfl maryna viazovska e8 lattice quanta magazine
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