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Maryna Sergiivna Viazovska ( uk, Марина Сергіївна Вязовська, ; born 2 December 1984) is a Ukrainian mathematician known for her work in
sphere packing In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three-dimensional Euclidean space. However, sphere packing p ...
. She is full professor and Chair of
Number Theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
at the Institute of Mathematics of the École Polytechnique Fédérale de Lausanne in Switzerland. She was awarded the Fields Medal in 2022.


Education and career

Viazovska was born in
Kyiv Kyiv, also spelled Kiev, is the capital and most populous city of Ukraine. It is in north-central Ukraine along the Dnieper River. As of 1 January 2021, its population was 2,962,180, making Kyiv the seventh-most populous city in Europe. Kyi ...
, the oldest of three sisters. Her father was a chemist who worked at the Antonov aircraft factory and her mother an engineer. 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. 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. As a student at
Taras Shevchenko National University of Kyiv Kyiv University or Shevchenko University or officially the Taras Shevchenko National University of Kyiv ( uk, Київський національний університет імені Тараса Шевченка), colloquially known as KNU ...
, she competed at the
International Mathematics Competition for University Students The International Mathematics Competition (IMC) for University Students is an annual mathematics competition open to all undergraduate students of mathematics. Participating students are expected to be at most twenty three years of age at the tim ...
in 2002, 2003, 2004, and 2005, and was one of the first-place winners in 2002 and 2005. She co-authored her first research paper in 2005. Viazovska earned a master's from the
University of Kaiserslautern Technical University of Kaiserslautern (German: ''Technische Universität Kaiserslautern'', also known as TU Kaiserslautern or TUK) is a public research university in Kaiserslautern, Germany. There are numerous institutes around the university, ...
in 2007, PhD from the Institute of Mathematics of the National Academy of Sciences of Ukraine in 2010, and a doctorate ( Dr. rer. nat.) from the
University of Bonn The Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine ...
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 Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative ...
and a Minerva Distinguished Visitor at
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...
. 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 Tenure is a category of academic appointment existing in some countries. A tenured post is an indefinite academic appointment that can be terminated only for cause or under extraordinary circumstances, such as financial exigency or program disco ...
assistant professor.


Contributions

In 2016, Viazovska solved the sphere-packing problem in
dimension In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coor ...
 8. Her dimension 8 solution quickly led to collaboration with others, and a solution 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 The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional Euclidean space. It states that no arrangement of equally sized spheres filling s ...
) involved long computer calculations. In contrast, Viazovska's proof for 8 and 24 dimensions is "stunningly simple". 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.


Recognition

In 2016, Viazovska received the Salem Prize and, in 2017, the
Clay Research Award __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class=" ...
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 The Ruth Lyttle Satter Prize in Mathematics, also called the Satter Prize, is one of twenty-one prizes given out by the American Mathematical Society (AMS). It is presented biennially in recognition of an outstanding contribution to mathematics ...
and the
Fermat Prize The Fermat prize of mathematical research biennially rewards research works in fields where the contributions of Pierre de Fermat have been decisive: * Statements of variational principles * Foundations of probability and analytic geometry * Numbe ...
. She is one of the 2020 winners of the
EMS Prize The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current ...
. In 2020, she also received the National Latsis Prize awarded by the
Latsis Foundation The Latsis Foundation (French: ''Fondation Latsis internationale'') is a charitable foundation, founded in 1975 by the Greek shipping magnate John Latsis. Amongst other prizes and symposia, it funds the University Latsis Prizes (awarded by the ...
. She was elected to the
Academia Europaea The Academia Europaea is a pan-European Academy of Humanities, Letters, Law, and Sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of Europea ...
in 2021. She was appointed Senior Scholar at the Clay Mathematics Institute in July 2022. 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. She was honored as one of the
BBC 100 Women ''100 Women'' is a BBC multi-format series established in 2013. The annual series examines the role of women in the 21st century and has included events in London and Mexico. Announcement of the list is the start of an international "BBC's women ...
in December 2022.


Family

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.


Selected publications

* * * *


References


External links


Home page of Maryna Viazovska
* {{DEFAULTSORT:Viazovska, Maryna 1984 births Living people Scientists from Kyiv Ukrainian mathematicians Ukrainian women mathematicians University of Bonn alumni Geometers Number theorists Taras Shevchenko National University of Kyiv alumni Academic staff of the Humboldt University of Berlin Academic staff of the École Polytechnique Fédérale de Lausanne Members of Academia Europaea Fields Medalists BBC 100 Women