At Oberwolfach, 2013
|Born||1984 (age 34–35)|
|Known for||Sphere-packing problem|
|Awards||Salem Prize (2016) |
Clay Research Award (2017)
SASTRA Ramanujan Prize (2017)
European Prize in Combinatorics (2017)
New Horizons in Mathematics Prize (2018)
Ruth Lyttle Satter Prize in Mathematics (2019)
|Thesis||Modular Functions and Special Cycles (2013)|
|Doctoral advisors||Don Zagier|
Maryna Sergiivna Viazovska (Ukrainian: Марина Сергіївна В'язовська; born 1984) is a Ukrainian mathematician who, in 2016, solved the sphere-packing problem in dimension 8 and, in collaboration with others, in dimension 24. 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".
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. Viazovska earned a candidate degree from the Institute of Mathematics of the National Academy of Sciences of Ukraine in 2010, a master's from the University of Kaiserslautern, 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 and Werner Müller. She was a postdoctoral researcher at the Berlin Mathematical School and the Humboldt University of Berlin and a Minerva Distinguished Visitor at Princeton University. Since January 2018 she is full professor at the École Polytechnique Fédérale de Lausanne in Switzerland after a short stint as tenure-track assistant professor.
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. In 2016, she received the Salem Prize and, in 2017, the Clay Research Award and the SASTRA Ramanujan Prize for her work on sphere packing and modular forms. In December 2017, she was awarded a 2018 New Horizons Prize in Mathematics. She was an invited speaker at the 2018 International Congress of Mathematicians. For 2019 she was awarded the Ruth Lyttle Satter Prize in Mathematics.
- 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 (2017), "The sphere packing problem in dimension 8", Annals of Mathematics, 185 (3): 991–1015, arXiv:1603.04246, doi:10.4007/annals.2017.185.3.7
- Cohn, Henry; Kumar, Abhinav; Miller, Stephen D.; Radchenko, Danylo; Viazovska, Maryna (2017), "The sphere packing problem in dimension 24", Annals of Mathematics, 185 (3): 1017–1033, arXiv:1603.06518, doi:10.4007/annals.2017.185.3.8
- Cohn, Henry; Kumar, Abhinav; Miller, Stephen D.; Radchenko, Danylo; Viazovska, Maryna (2019), Universal optimality of the E8 and Leech lattices and interpolation formulas, arXiv:1902.05438, Bibcode:2019arXiv190205438C
- "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
- "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
- 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
- Minerva Distinguished Visitor Lectures, Princeton University, retrieved 2017-03-20.
- Maryna Viazovska promoted to Full Professor
- Popov Prize previous winners, University of South Carolina, Interdisciplinary Mathematics Institute, retrieved 2016-04-02.
- Prix Salem 2016 (in French), Société Mathématique de France, retrieved 2017-09-26
- 2017 Clay Research Awards, Clay Mathematics Institute, retrieved 2017-09-26
- "Maryna Viazovska to receive 2017 SASTRA Ramanujan Prize", The Hindu, 2017-09-26, ISSN 0971-751X, retrieved 2017-09-26
- "Breakthrough Prize – Mathematics Laureates – Maryna Viazovska". breakthroughprize.org. Retrieved 2017-12-04.
For remarkable application of the theory of modular forms to the sphere packing problem in special dimensions.
- "Invited section lectures", ICM 2018, retrieved 2018-08-08
- Ruth Lyttle Satter Prize 2019