title: Kontsevich quantization formula
Yuri Linnik
Motivic integration
Operad theory
Kontsevich invariant
Stable map
Maxim Kontsevich
Letters in Mathematical Physics
Homological mirror symmetry
Linnik interferometer
sentences: In mathematics, the Kontsevich quantization formula describes how to construct a generalized ★-product operator algebra from a given arbitrary Poisson manifold.
 This operator algebra amounts to the deformation quantization of the corresponding Poisson algebra.
 It is due to Maxim Kontsevich.
Yuri Vladimirovich Linnik (Russian: Ю́рий Влади́мирович Ли́нник ; January 8, 1915 – June 30, 1972) was a Soviet mathematician active in number theory, probability theory and mathematical statistics.
Motivic integration is a notion in algebraic geometry that was introduced by Maxim Kontsevich in 1995 and was developed by Jan Denef and François Loeser.
 Since its introduction it has proved to be quite useful in various branches of algebraic geometry, most notably birational geometry and singularity theory.
 Roughly speaking, motivic integration assigns to subsets of the arc space of an algebraic geometry, a volume living in the Grothendieck ring of algebraic varieties.
 The naming 'motivic' mirrors the fact that unlike ordinary integration, for which the values are real numbers, in motivic integration the values are geometric in nature.
Operad theory is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity.
 Operads generalize the various associativity properties already observed in algebras and coalgebras such as Lie algebras or Poisson algebras by modeling computational trees within the algebra.
 Algebras are to operads as group representations are to groups. Originating from work in algebraic topology by Boardman and Vogt, and J. Peter May, it has more recently found many applications, drawing for example on work by Maxim Kontsevich and Thomas Willwacher on graph homology.
In the mathematical theory of knots, the Kontsevich invariant, also known as the Kontsevich integral of an oriented framed link, is a universal Vassiliev invariant in the sense that any coefficient of the Kontsevich invariant is of a finite type, and conversely any finite type invariant can be presented as a linear combination of such coefficients.
 It was defined by Maxim Kontsevich.
In mathematics, specifically in symplectic topology and algebraic geometry, one can construct the moduli space of stable maps, satisfying specified conditions, from Riemann surfaces into a given symplectic manifold.
 This moduli space is the essence of the Gromov–Witten invariants, which find application in enumerative geometry and type IIA string theory.
 The idea of stable map was proposed by Maxim Kontsevich around 1992 and published in .
Maxim Lvovich Kontsevich (Russian: Макси́м Льво́вич Конце́вич ;   ; born 25 August 1964) is a Russian and French mathematician.
 He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami.
 He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the Shaw Prize and Fundamental Physics Prize in 2012, and the Breakthrough Prize in Mathematics in 2014.
Letters in Mathematical Physics is a peer-reviewed scientific journal in mathematical physics published by Springer Science+Business Media.
 It publishes letters and longer research articles, occasionally also articles containing topical reviews.
 It is essentially a platform for the rapid dissemination of short contributions in the field of mathematical physics.
 In addition, the journal publishes contributions to modern mathematics in fields which have a potential physical application, and developments in theoretical physics which have potential mathematical impact.
 The editors are Volker Bach, Edward Frenkel, Maxim Kontsevich, Dirk Kreimer, Nikita Nekrasov, Massimo Porrati, and Daniel Sternheimer.
Homological mirror symmetry is a mathematical conjecture made by Maxim Kontsevich.
 It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory.
A Linnik interferometer is a two-beam interferometer used in microscopy and surface contour measurements or topography.
 The basic configuration is the same as a Michelson interferometer.
 What distinguishes the Linnik configuration is the use of measurement optics in the reference arm, which essentially duplicate the objective measurement optics in the measurement arm.
 The advantage of this design its ability to compensate for chromatic dispersion and other optical aberrations.

Question: Question: Are Maxim Kontsevich and Yuri Linnik both mathematicians? 

 Your answer will be verified with exact match score. To ensure correct verification, only provide the answer within the <answer> </answer> tags. Do not put any sentences or reasoning process within the <answer> </answer> tags. 

Supporting Information: Paragraph 0 

 In mathematics, the Kontsevich quantization formula describes how to construct a generalized ★-product operator algebra from a given arbitrary Poisson manifold.
 This operator algebra amounts to the deformation quantization of the corresponding Poisson algebra.
 It is due to Maxim Kontsevich. 

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Paragraph 1 

 Yuri Vladimirovich Linnik (Russian: Ю́рий Влади́мирович Ли́нник ; January 8, 1915 – June 30, 1972) was a Soviet mathematician active in number theory, probability theory and mathematical statistics. 

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Paragraph 2 

 Motivic integration is a notion in algebraic geometry that was introduced by Maxim Kontsevich in 1995 and was developed by Jan Denef and François Loeser.
 Since its introduction it has proved to be quite useful in various branches of algebraic geometry, most notably birational geometry and singularity theory.
 Roughly speaking, motivic integration assigns to subsets of the arc space of an algebraic geometry, a volume living in the Grothendieck ring of algebraic varieties.
 The naming 'motivic' mirrors the fact that unlike ordinary integration, for which the values are real numbers, in motivic integration the values are geometric in nature. 

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Paragraph 3 

 Operad theory is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity.
 Operads generalize the various associativity properties already observed in algebras and coalgebras such as Lie algebras or Poisson algebras by modeling computational trees within the algebra.
 Algebras are to operads as group representations are to groups. Originating from work in algebraic topology by Boardman and Vogt, and J. Peter May, it has more recently found many applications, drawing for example on work by Maxim Kontsevich and Thomas Willwacher on graph homology. 

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Paragraph 4 

 In mathematics, specifically in symplectic topology and algebraic geometry, one can construct the moduli space of stable maps, satisfying specified conditions, from Riemann surfaces into a given symplectic manifold.
 This moduli space is the essence of the Gromov–Witten invariants, which find application in enumerative geometry and type IIA string theory.
 The idea of stable map was proposed by Maxim Kontsevich around 1992 and published in . 

--------------------------------

Paragraph 5 

 Maxim Lvovich Kontsevich (Russian: Макси́м Льво́вич Конце́вич ;   ; born 25 August 1964) is a Russian and French mathematician.
 He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami.
 He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the Shaw Prize and Fundamental Physics Prize in 2012, and the Breakthrough Prize in Mathematics in 2014. 

--------------------------------

Paragraph 6 

 Letters in Mathematical Physics is a peer-reviewed scientific journal in mathematical physics published by Springer Science+Business Media.
 It publishes letters and longer research articles, occasionally also articles containing topical reviews.
 It is essentially a platform for the rapid dissemination of short contributions in the field of mathematical physics.
 In addition, the journal publishes contributions to modern mathematics in fields which have a potential physical application, and developments in theoretical physics which have potential mathematical impact.
 The editors are Volker Bach, Edward Frenkel, Maxim Kontsevich, Dirk Kreimer, Nikita Nekrasov, Massimo Porrati, and Daniel Sternheimer. 

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Paragraph 7 

 Homological mirror symmetry is a mathematical conjecture made by Maxim Kontsevich.
 It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory. 

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Answer: yes