Pavel Ilyich Etingof (; born 1969) is an American mathematician of Russian-Ukrainian origin. He does research on the intersection of

mathematical physics Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the de ...

(exactly

integrable system In mathematics, integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first ...

s) and

representation theory Representation theory is a branch of mathematics that studies abstract algebra, abstract algebraic structures by ''representing'' their element (set theory), elements as linear transformations of vector spaces, and studies Module (mathematics), ...

, e.g.,

quantum group In mathematics and theoretical physics, the term quantum group denotes one of a few different kinds of noncommutative algebras with additional structure. These include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebra ...

Biography

Etingof was born in

Kyiv Kyiv, also Kiev, is the capital and most populous List of cities in Ukraine, city of Ukraine. Located in the north-central part of the country, it straddles both sides of the Dnieper, Dnieper River. As of 1 January 2022, its population was 2, ...

Ukrainian SSR The Ukrainian Soviet Socialist Republic, abbreviated as the Ukrainian SSR, UkrSSR, and also known as Soviet Ukraine or just Ukraine, was one of the Republics of the Soviet Union, constituent republics of the Soviet Union from 1922 until 1991. ...

, and studied in the Kyiv Natural Science Lyceum No. 145 in 1981–1984, and at the Department of Mathematics and Mechanics of the

Taras Shevchenko National University of Kyiv The Taras Shevchenko National University of Kyiv (; also known as Kyiv University, Shevchenko University, or KNU) is a public university in Kyiv, Ukraine. The university is the third-oldest university in Ukraine after the University of Lviv and ...

in 1984–1986. He received his M.S. in applied mathematics from the Oil and Gas Institute in

Moscow Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents with ...

in 1989 and then went to the US in 1990. In 1994, he received his PhD in mathematics at

Yale University Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...

under

Igor Frenkel Igor Borisovich Frenkel (; born April 22, 1952) is a Russian-American mathematician at Yale University working in representation theory and mathematical physics. Frenkel emigrated to the United States in 1979. He received his PhD from Yale Unive ...

with thesis ''Representation Theory and Holonomic Systems''. After his PhD, he became

Benjamin Peirce Benjamin Peirce (; April 4, 1809 – October 6, 1880) was an American mathematician who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, statistics, number theory, algebra, and the philoso ...

Assistant Professor at

Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...

and in 1998 an assistant professor at

MIT The Massachusetts Institute of Technology (MIT) is a private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of modern technology and sc ...

. Since 2005 he is a professor at

. In 1999, he was a Fellow of the

Clay Mathematics Institute The Clay Mathematics Institute (CMI) is a private, non-profit foundation dedicated to increasing and disseminating mathematical knowledge. Formerly based in Peterborough, New Hampshire, the corporate address is now in Denver, Colorado. CMI's sc ...

. In 2002, he was an

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

Beijing Beijing, Chinese postal romanization, previously romanized as Peking, is the capital city of China. With more than 22 million residents, it is the world's List of national capitals by population, most populous national capital city as well as ...

(''On the dynamical

Yang–Baxter equation In physics, the Yang–Baxter equation (or star–triangle relation) is a consistency equation which was first introduced in the field of statistical mechanics. It depends on the idea that in some scattering situations, particles may preserve their ...

''). He is a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

. In 2010, together with Slava Gerovitch he co-founded the MIT Program for Research In Mathematics, Engineering and Science (PRIMES) for high school students, and has since served as its Chief Research Advisor. In 2016, he became a fellow of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...

Books

* Quantum fields and strings: a course for mathematicians. Vol. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Edited by

Pierre Deligne Pierre René, Viscount Deligne (; born 3 October 1944) is a Belgian mathematician. He is best known for work on the Weil conjectures, leading to a complete proof in 1973. He is the winner of the 2013 Abel Prize, 2008 Wolf Prize, 1988 Crafoor ...

, Pavel Etingof, Daniel S. Freed, Lisa C. Jeffrey,

David Kazhdan David Kazhdan (), born Dmitry Aleksandrovich Kazhdan (), is a Soviet and Israeli mathematician known for work in representation theory. Kazhdan is a 1990 MacArthur Fellow. Biography Kazhdan was born on 20 June 1946 in Moscow, USSR. His father ...

, John W. Morgan, David R. Morrison and

Edward Witten Edward Witten (born August 26, 1951) is an American theoretical physics, theoretical physicist known for his contributions to string theory, topological quantum field theory, and various areas of mathematics. He is a professor emeritus in the sc ...

. American Mathematical Society, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, 1999. Vol. 1: xxii+723 pp.; Vol. 2: pp. i--xxiv and 727–1501. , 81-06 (81T30 81Txx) *With Frédéric Latour: ''The dynamical Yang–Baxter equation, representation theory, and quantum integrable systems'', Oxford University Press 2005 *With Igor Frenkel, Alexander Kirillov, Jr.: ''Lectures on representation theory and Knizhnik–Zamolodchikov equations'', American Mathematical Society 1998 *With Alexander Varchenko
''Why the boundary of a round drop becomes a curve of order four''
American Mathematical Society 1992''Why the boundary of a round drop becomes a curve of order four'', AMS Bookstore
/ref> *''Calogero–Moser Systems and Representation Theory'', European Mathematical Society 2007 (Zürich Lecture Notes in Advanced Mathematics) *With co-authors: ''Introduction to Representation theory'', Student Mathematical Library, American Mathematical Society 2011 *Editor with co-editors: ''The unity of mathematics: in honor of the ninetieth birthday of I. M. Gelfand'', Birkhäuser 2006 *Editor with Shlomo Gelaki and Steven Shnider
''Quantum Groups''
(Konferenz Technion 2004), American Mathematical Society 2007 * .

References

External links

Profile at MIT website
{{DEFAULTSORT:Etingof, Pavel 1969 births 20th-century American mathematicians 21st-century American mathematicians Yale Graduate School of Arts and Sciences alumni Harvard University Department of Mathematics faculty Massachusetts Institute of Technology School of Science faculty Fellows of the American Mathematical Society Living people Soviet mathematicians Fellows of the American Academy of Arts and Sciences