Maryna Viazovska
| Maryna Viazovska | |
|---|---|
 At Oberwolfach, 2013 | |
| Born | 1984 (age 31–32) |
| Residence | Germany |
| Citizenship | Ukrainian |
| Fields | Mathematics |
| Institutions |
Berlin Mathematical School Humboldt University of Berlin |
| Thesis | Modular Functions and Special Cycles (2013) |
| Doctoral advisor | Don Zagier |
| Known for | Sphere-packing problem |
|
Website www | |
Maryna Sergiivna Viazovska[1] (Ukrainian: Марина Сергіївна В'язовська;[2] born 1984)[3] is a Ukrainian mathematician who in 2016 solved the sphere-packing problem in dimension 8[4][5][6] and, in collaboration with others, in dimension 24.[7][8] Previously, the problem had been solved only for three or fewer dimensions, and the proof of the three-dimensional version (the Kepler conjecture) involved long computer calculations. In contrast, Viazovska's proof for 8 and 24 dimensions is "stunningly simple".[8]
As a student at Taras Shevchenko National University of Kyiv, Viazovska competed at the International Mathematics Competition for University Students in 2002, 2003, 2004, and 2005, and was one of the first place winners in 2002 and 2005.[9] Viazovska earned a candidate degree from the Institute of Mathematics of the National Academy of Sciences of Ukraine in 2010,[2] and a doctorate (Dr. rer. nat.) from the University of Bonn in 2013. Her doctoral dissertation, Modular Functions and Special Cycles, concerns analytic number theory and was supervised by Don Zagier.[10] She is currently a postdoctoral researcher at the Berlin Mathematical School and the Humboldt University of Berlin.[8]
As well as for her work on sphere packing, Viazovska is also known for her research on spherical designs with Bondarenko and Radchenko. With them she proved a conjecture of Korevaar and Meyers on the existence of small designs in arbitrary dimensions. This result was one of the contributions for which her co-author Andriy Bondarenko won the Vasil A. Popov Prize for approximation theory in 2013.[11]
Selected publications
- Bondarenko, Andriy; Radchenko, Danylo; Viazovska, Maryna (2013), "Optimal asymptotic bounds for spherical designs", Annals of Mathematics, Second Series 178 (2): 443–452, arXiv:1009.4407, doi:10.4007/annals.2013.178.2.2, MR 3071504
- Viazovska, Maryna (2016), The sphere packing problem in dimension 8, arXiv:1603.04246
- Cohn, Henry; Kumar, Abhinav; Miller, Stephen D.; Radchenko, Danylo; Viazovska, Maryna (2016), The sphere packing problem in dimension 24, arXiv:1603.06518
References
- ↑ "List of participants – FM2009 Conference "Functional Methods in Approximation Theory and Operator Theory III, dedicated to the memory of V. K. Dzyadyk (1919–1998)"". Institute of Mathematics of NAS of Ukraine. 2009. Retrieved 8 April 2016.
- 1 2 "Вязовська М.С.", Catalogues (in Ukrainian) (Vernadsky National Library of Ukraine), retrieved 2016-04-06
- ↑ Maryna Viazovska (in German), German National Library, retrieved 2016-04-07
- ↑ Knudson, Kevin (March 29, 2016), "Stacking Cannonballs In 8 Dimensions", Forbes
- ↑ Morgan, Frank (March 21, 2016), "Sphere Packing in Dimension 8", The Huffington Post
- ↑ Loos, Andreas (March 21, 2016), "So stapeln Mathematiker Melonen", Die Zeit (in German)
- ↑ Grossman, Lisa (March 28, 2016), "New maths proof shows how to stack oranges in 24 dimensions", Daily News, New Scientist
- 1 2 3 Klarreich, Erica (March 30, 2016), "Sphere Packing Solved in Higher Dimensions", Quanta Magazine
- ↑ IMC official results: 2002, 2003, 2004, and 2005. Accessed 2016-04-07.
- ↑ Viazovska, Maryna (2013), Modular Functions and Special Cycles, Doctoral dissertation, University of Bonn
- ↑ Popov Prize previous winners, University of South Carolina, Interdisciplinary Mathematics Institute, retrieved 2016-04-02.
External links
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