The work of Maryna Viazovska

DOI10.4171/icm2022/213arXiv2207.06913OpenAlexW4389775011MaRDI QIDQ6119204

Henry Cohn

Publication date: 22 March 2024

Published in: International Congress of Mathematicians (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06913

zbMATH Keywords

modular formssphere packing

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Modular and automorphic functions (11F03) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (1)

From sphere packing to Fourier interpolation

Cites Work

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• Optimal asymptotic bounds for spherical designs
• New upper bounds on sphere packings. I
• The Heisenberg principle and positive functions
• Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas
• Sphere packing and quantum gravity
• An optimal uncertainty principle in twelve dimensions via modular forms
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• Fourier interpolation on the real line
• A proof of the Kepler conjecture
• High-dimensional sphere packing and the modular bootstrap
• Arithmetic geometry, number theory, and computation
• Lattices and Codes
• A Conceptual Breakthrough in Sphere Packing
• A Breakthrough in Sphere Packing: The Search for Magic Functions
• Elliptic Modular Forms and Their Applications
• Universally optimal distribution of points on spheres
• A FORMAL PROOF OF THE KEPLER CONJECTURE
• Modular Forms

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