Mathematical Perspectives
Selections Reprinted from Mathematical Reviews
- Review information
- Bull. Amer. Math. Soc. 61 (2024), 173-185PDF
- Published electronically: October 12, 2023
- Sphere packings, lattices and groups by J. H. Conway and N. J. A. Sloane
- no. 290, 1988, xxviii+663, ISBN 0-387-96617-X, $87.00
- MR Number: 0920369 (89a:11067) Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer-Verlag, New York,
- Reviewed by: J. M. Wills
- A stability property of symplectic packing by Paul Biran
- Inventiones Mathematicae 136, (1999), no. 1, 123–155
- MR Number: 1681101 (2000b:57039)
- Reviewed by: Matthias Schwarz
- The honeycomb conjecture by T. C. Hales
- Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science 25, (2001), no. 1, 1–22
- MR Number: 1797293 (2002a:52020)
- Reviewed by: W. Kuperberg
- New upper bounds on sphere packings. I by Henry Cohn and Noam Elkies
- Annals of Mathematics. Second Series 157, (2003), no. 2, 689–714
- MR Number: 1973059 (2004b:11096)
- Reviewed by: Matthias Beck
- Elliptic modular forms and their applications by Don Zagier
- 2008, 1–103 pp.
- MR Number: 2409678 (2010b:11047) Universitext,
- Reviewed by: Rainer Schulze-Pillot
- The dodecahedral conjecture by Thomas C. Hales and Sean McLaughlin
- Journal of the American Mathematical Society 23, (2010), no. 2, 299–344
- MR Number: 2601036 (2011d:52037)
- Reviewed by: Peter M. Gruber
- Dense sphere packings by Thomas C. Hales
- 2012, xiv+271 pp., ISBN 978-0-521-61770-3, $60.00
- MR Number: 3012355 London Mathematical Society Lecture Note Series, 400, Cambridge University Press, Cambridge,
- Reviewed by: J. C. Lagarias
- A note on sphere packings in high dimension by Akshay Venkatesh
- International Mathematics Research Notices. IMRN, (2013), no. 7, 1628–1642
- MR Number: 3044452
- Reviewed by: Ranjeet Kaur Sehmi
- Sphere packing bounds via spherical codes by Henry Cohn and Yufei Zhao
- Duke Mathematical Journal 163, (2014), no. 10, 1965–2002
- MR Number: 3229046
- Reviewed by: Anton Vladimirovich Shutov
- A breakthrough in sphere packing: the search for magic functions by David de Laat and Frank Vallentin
- Nieuw Archief voor Wiskunde. Vijfde Serie 17, (2016), no. 3, 184–192
- MR Number: 3643686
- Reviewed by: Russell Jay Hendel
- The sphere packing problem in dimension 8 by Maryna S. Viazovska
- Annals of Mathematics. Second Series 185, (2017), no. 3, 991–1015
- MR Number: 3664816
- Reviewed by: Rainer Schulze-Pillot
- The sphere packing problem in dimension 24 by Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko and Maryna Viazovska
- Annals of Mathematics. Second Series 185, (2017), no. 3, 1017–1033
- MR Number: 3664817
- Reviewed by: Martin Henk
Journal: Bull. Amer. Math. Soc. 61 (2024), 173-185
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