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Maryna Viazovska

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Maryna Viazovska
Марина Сергіївна Вязовська
Viazovska in 2013 at Oberwolfach
Born (1984-12-02) 2 December 1984 (age 39)[1]
Kyiv, Ukrainian SSR, Soviet Union
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)
Fields Medal (2022)
Scientific career
FieldsMathematics
Institutions
ThesisModular Functions and Special Cycles (2013)
Doctoral advisorsDon Zagier
Werner Müller
Websitehttps://tn.epfl.ch/

Maryna Sergiivna Viazovska (Ukrainian: Марина Сергіївна Вязовська,[2] pronounced [mɐˈrɪnɐ wjɐˈzɔu̯sʲkɐ]; born 2 December 1984)[3] is a Ukrainian mathematician known for her work in sphere packing. She is a full professor and Chair of Number Theory at the Institute of Mathematics of the École Polytechnique Fédérale de Lausanne in Switzerland.[4] She was awarded the Fields Medal in 2022.[5][6]

Education and career

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Viazovska was born in Kyiv, the oldest of three sisters. Her father was a chemist who worked at the Antonov aircraft factory and her mother was an engineer.[6] She 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.[7] Viazovska competed in domestic mathematics Olympiads when she was at high school, placing 13th in a national competition where 12 students were selected to a training camp before a six-member team for the International Mathematical Olympiad was chosen.[6] 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.[8] She co-authored her first research paper in 2005.[6]

Viazovska earned a master's from the University of Kaiserslautern in 2007, PhD 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 and Werner Müller.[9]

She was a postdoctoral researcher at the Berlin Mathematical School and the Humboldt University of Berlin[10] and a Minerva Distinguished Visitor[11] 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 (EPFL) in Switzerland after a short stint as tenure-track assistant professor.[4]

Contributions

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In 2016, Viazovska solved the sphere-packing problem in dimension 8.[12][13][14] Her dimension 8 solution quickly led to collaboration with others, and a solution in dimension 24.[15][10] 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".[10]

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.[16]

Recognition

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In 2016, Viazovska received the Salem Prize[17] and, in 2017, the Clay Research Award and the SASTRA Ramanujan Prize for her work on sphere packing and modular forms.[18][19] In December 2017, she was awarded a 2018 New Horizons Prize in Mathematics.[20] She was an invited speaker at the 2018 International Congress of Mathematicians.[21] For 2019 she was awarded the Ruth Lyttle Satter Prize in Mathematics[22] and the Fermat Prize.[23] She is one of the 2020 winners of the EMS Prize.[24] In 2020, she also received the National Latsis Prize awarded by the Latsis Foundation.[25] She was elected to the Academia Europaea in 2021.[26] She was appointed Senior Scholar at the Clay Mathematics Institute in July 2022.[27]

She was awarded the Fields Medal in July 2022, making her the second woman (after Maryam Mirzakhani), the second person born in the Ukrainian SSR and the first with a degree from a Ukrainian university to ever receive it.[28][29][30] She was honored as one of the BBC 100 Women in December 2022.[31]

Family

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Viazovska met her husband, Daniil Evtushinsky, at an after-school physics group for schoolchildren. He is also a researcher at EPFL, in physics. They have two children, a son and a daughter.[6][32]

Selected publications

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  • 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 (2022), "Universal optimality of the E8 and Leech lattices and interpolation formulas", Annals of Mathematics, 196 (3): 983–1082, arXiv:1902.05438, doi:10.4007/annals.2022.196.3.3, S2CID 119741285

References

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  1. ^ Epfl, Communication (5 July 2022), An EPFL mathematician is awarded a Fields Medal (in French), École Polytechnique Fédérale de Lausanne, archived from the original on 5 July 2022, retrieved 6 July 2022
  2. ^ a b "Вязовська М.С.", Catalogues (in Ukrainian), Vernadsky National Library of Ukraine, archived from the original on 2 August 2014, retrieved 6 April 2016
  3. ^ Maryna Viazovska (in German), German National Library, archived from the original on 30 July 2018, retrieved 7 April 2016
  4. ^ a b Testa, Andrea (1 August 2018). "Maryna Viazovska promoted to Full Professor". Archived from the original on 30 October 2019. Retrieved 9 January 2018 – via actu.epfl.ch.
  5. ^ "Fields Medals 2022". International Mathematical Union. Archived from the original on 5 July 2022. Retrieved 5 July 2022.
  6. ^ a b c d e Lin, Thomas; Klarreich, Erica (5 July 2022). "In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math". quantamagazine.org. Quanta Magazine. Archived from the original on 5 July 2022. Retrieved 5 July 2022.
  7. ^ O'Connor, John J.; Robertson, Edmund F., "Maryna Viazovska", MacTutor History of Mathematics Archive, University of St Andrews
  8. ^ IMC official results: 2002 Archived 28 October 2019 at the Wayback Machine, 2003 Archived 23 November 2020 at the Wayback Machine, 2004 Archived 21 October 2020 at the Wayback Machine, and 2005 Archived 16 July 2017 at the Wayback Machine. Retrieved 7 April 2016.
  9. ^ Viazovska, Maryna (2013), Modular Functions and Special Cycles, Doctoral dissertation, University of Bonn, archived from the original on 13 June 2017, retrieved 1 April 2016
  10. ^ a b c Klarreich, Erica (30 March 2016), "Sphere Packing Solved in Higher Dimensions", Quanta Magazine, archived from the original on 12 March 2017, retrieved 31 March 2016
  11. ^ Minerva Distinguished Visitor Lectures Archived 22 March 2020 at the Wayback Machine, Princeton University, retrieved 14 June 2020.
  12. ^ Knudson, Kevin (29 March 2016), "Stacking Cannonballs In 8 Dimensions", Forbes, archived from the original on 30 July 2018, retrieved 4 September 2017
  13. ^ Morgan, Frank (21 March 2016), "Sphere Packing in Dimension 8", The Huffington Post, archived from the original on 11 February 2017, retrieved 31 March 2016
  14. ^ Loos, Andreas (21 March 2016), "So stapeln Mathematiker Melonen", Die Zeit (in German), archived from the original on 30 July 2018, retrieved 1 April 2016
  15. ^ Grossman, Lisa (28 March 2016), "New maths proof shows how to stack oranges in 24 dimensions", Daily News, New Scientist, archived from the original on 30 July 2018, retrieved 31 March 2016
  16. ^ Popov Prize previous winners, University of South Carolina, Interdisciplinary Mathematics Institute, archived from the original on 31 October 2015, retrieved 2 April 2016.
  17. ^ Prix Salem 2016 (in French), Société Mathématique de France, archived from the original on 4 July 2017, retrieved 26 September 2017
  18. ^ 2017 Clay Research Awards, Clay Mathematics Institute, archived from the original on 11 January 2018, retrieved 26 September 2017
  19. ^ "Maryna Viazovska to receive 2017 SASTRA Ramanujan Prize", The Hindu, 26 September 2017, ISSN 0971-751X, archived from the original on 17 February 2019, retrieved 26 September 2017
  20. ^ "Breakthrough Prize – Mathematics Laureates – Maryna Viazovska", breakthroughprize.org, archived from the original on 27 August 2018, retrieved 4 December 2017, For remarkable application of the theory of modular forms to the sphere packing problem in special dimensions.
  21. ^ "Invited section lectures", ICM 2018, archived from the original on 8 December 2018, retrieved 8 August 2018
  22. ^ "News from the AMS". American Mathematical Society. Archived from the original on 7 November 2021. Retrieved 28 April 2021.
  23. ^ "Institut de Mathématiques de Toulouse – Prix Fermat 2019", www.math.univ-toulouse.fr, archived from the original on 1 July 2020, retrieved 12 December 2019
  24. ^ Prize Winners Announced, European Mathematical Society, 8 May 2020, archived from the original on 25 September 2020, retrieved 8 May 2020
  25. ^ "National Latsis Prize – SNF", www.snf.ch, archived from the original on 25 September 2020, retrieved 21 September 2020
  26. ^ "Maryna Viazovska", Members, Academia Europaea, archived from the original on 12 March 2022, retrieved 12 March 2022
  27. ^ "Maryna Viazovska | Clay Mathematics Institute". www.claymath.org. Archived from the original on 3 June 2022. Retrieved 28 May 2022.
  28. ^ Cohn, Henry (2022). "The work of Maryna Viazovska". arXiv:2207.06913 [math.MG].
  29. ^ "Ukrainian Viazovska wins Fields Medal 2022". www.ukrinform.net. 5 July 2022. Archived from the original on 7 July 2022. Retrieved 5 July 2022.
  30. ^ "Fields Medal | International Mathematical Union (IMU)". Archived from the original on 26 December 2018. Retrieved 5 July 2022.
  31. ^ "BBC 100 Women 2022: Who is on the list this year?". BBC News. Retrieved 10 December 2022.
  32. ^ Daniel, Jonny (5 July 2022). "Mathematics: Fields Medal for Maryna Viazovska". All News Press. Archived from the original on 8 July 2022. Retrieved 7 July 2022.
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