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.