Maryna Viazovska

Maryna Sergiivna Viazovska (Ukrainian: Марина Сергіївна В'язовська;[1] born 1984)[2] is a Ukrainian mathematician known for her work in sphere packing. She is currently full professor at the Chair of Number Theory at Institute of Mathematics of École Polytechnique Fédérale de Lausanne in Switzerland.[3]

Maryna Viazovska
At Oberwolfach, 2013
Born1984 (age 36–37)
CitizenshipUkrainian
Alma mater
Known forSphere-packing problem
AwardsSalem 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)
Fermat Prize (2019)
EMS Prize (2020)
Scientific career
FieldsMathematics
Institutions
ThesisModular Functions and Special Cycles (2013)
Doctoral advisorsDon Zagier
Werner Müller
Websitehttps://tn.epfl.ch/

Education and career

Viazovska was born in Kiev, and attended a specialized secondary school for high-achieving students in science and technology, Kyiv Natural Science Lyceum No. 145. An influential teacher there, Andrii Knyazyuk, had previously worked as a professional research mathematician before becoming a secondary school teacher.[4] As a student at Taras Shevchenko National University of Kyiv, she 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.[5]

Viazovska earned a candidate degree from the Institute of Mathematics of the National Academy of Sciences of Ukraine in 2010,[1] 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.[6]

She was a postdoctoral researcher at the Berlin Mathematical School and the Humboldt University of Berlin[7] and a Minerva Distinguished Visitor[8] at Princeton University. Since January 2018 she has held the Chair of Number Theory as a full professor at the École Polytechnique Fédérale de Lausanne in Switzerland after a short stint as tenure-track assistant professor.[3]

Contributions

In 2016, Viazovska solved the sphere-packing problem in dimension 8[9][10][11] and, in collaboration with others, in dimension 24.[12][7] 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".[7]

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.[13]

Recognition

In 2016, Viazovska received the Salem Prize[14] and, in 2017, the Clay Research Award and the SASTRA Ramanujan Prize for her work on sphere packing and modular forms.[15][16] In December 2017, she was awarded a 2018 New Horizons Prize in Mathematics.[17] She was an invited speaker at the 2018 International Congress of Mathematicians.[18] For 2019 she was awarded the Ruth Lyttle Satter Prize in Mathematics[19] and the Fermat Prize.[20] She is one of the 2020 winners of the EMS Prize.[21] In 2020, she also received the National Latsis Prize awarded by the Latsis Foundation.[22]

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, S2CID 2490453
  • 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, S2CID 119286185
  • 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, S2CID 119281758
  • 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

References
  1. "Вязовська М.С.", Catalogues (in Ukrainian), Vernadsky National Library of Ukraine, retrieved 2016-04-06
  2. Maryna Viazovska (in German), German National Library, retrieved 2016-04-07
  3. Maryna Viazovska promoted to Full Professor
  4. O'Connor, John J.; Robertson, Edmund F., "Maryna Viazovska", MacTutor History of Mathematics archive, University of St Andrews.
  5. IMC official results: 2002, 2003, 2004, and 2005. Accessed 2016-04-07.
  6. Viazovska, Maryna (2013), Modular Functions and Special Cycles, Doctoral dissertation, University of Bonn
  7. Klarreich, Erica (March 30, 2016), "Sphere Packing Solved in Higher Dimensions", Quanta Magazine
  8. Minerva Distinguished Visitor Lectures Archived 2020-03-22 at the Wayback Machine, Princeton University, retrieved 2020-06-14.
  9. Knudson, Kevin (March 29, 2016), "Stacking Cannonballs In 8 Dimensions", Forbes
  10. Morgan, Frank (March 21, 2016), "Sphere Packing in Dimension 8", The Huffington Post
  11. Loos, Andreas (March 21, 2016), "So stapeln Mathematiker Melonen", Die Zeit (in German)
  12. Grossman, Lisa (March 28, 2016), "New maths proof shows how to stack oranges in 24 dimensions", Daily News, New Scientist
  13. Popov Prize previous winners, University of South Carolina, Interdisciplinary Mathematics Institute, archived from the original on 2015-10-31, retrieved 2016-04-02.
  14. Prix Salem 2016 (in French), Société Mathématique de France, archived from the original on 2017-07-04, retrieved 2017-09-26
  15. 2017 Clay Research Awards, Clay Mathematics Institute, retrieved 2017-09-26
  16. "Maryna Viazovska to receive 2017 SASTRA Ramanujan Prize", The Hindu, 2017-09-26, ISSN 0971-751X, retrieved 2017-09-26
  17. "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.
  18. "Invited section lectures", ICM 2018, archived from the original on 2018-12-08, retrieved 2018-08-08
  19. Ruth Lyttle Satter Prize 2019
  20. "Institut de Mathématiques de Toulouse - Prix Fermat 2019". www.math.univ-toulouse.fr. Retrieved 2019-12-12.
  21. "Prize Winners Announced". European Mathematical Society. 8 May 2020.
  22. "National Latsis Prize - SNF". www.snf.ch. Retrieved 2020-09-21.
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