Vladimir Retakh

Vladimir Solomonovich Retakh (Ретах Владимир Соломонович; 20 May 1948) is a Russian-American mathematician who made important contributions to Noncommutative algebra and combinatorics among other areas.

Vladimir Retakh
Born	(1948-05-20)May 20, 1948 Chișinău, Soviet Union
Nationality	Soviet Union United States
Alma mater	Moscow State V. I. Lenin Pedagogical Institute
Known for	Quasideterminant and Noncommutative symmetric function
Scientific career
Fields	Mathematics
Institutions	Rutgers University
Doctoral advisors	Dmitrii Abramovich Raikov

Biography

Retakh graduated in 1970 from the Moscow State Pedagogical University. Beginning as an undergraduate Retakh regularly attended lectures and seminars at the Moscow State University most notably the Gelfand seminars [1]. He obtained his PhD in 1973 under the mentorship of Dmitrii Raikov. He joined the Gelfand group in 1986.

His first position was at the central Research Institute for Engineering Buildings and later obtained his first academic position at the Council for Cybernetics of the Soviet Academy of Sciences in 1989. While at the Council for Cybernetics of the Soviet Academy of Sciences in 1990, Retakh had started working with Gelfand on their new program on Noncommutative determinants. Prior to immigrating to the US in 1993 he also held a position at the Scientific Research Institute of System Development

Research

Retakh's other contributions include:

• Contributions to the theory of general hypergeometric functions
• Contributions to the theory of Lie–Massey operators
• Instigated the study of homotopical properties of categories of extensions based on the Retakh isomorphism [2]
• Introduction of noncommutative determinants, also known as quasideterminants
• Introduction of noncommutative symmetric functions
• The introduction of noncommutative Plücker coordinates
• Noncommutative integrable systems

Recognition

He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to noncommutative algebra and noncommutative algebraic geometry".[3]

References

1. On Israel Moiseevich Gelfand
2. Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology by Reiner Hermann, Memoirs of the American Mathematical Society, 2016
3. 2019 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2018-11-07

• Retakh V. (2010). "Israel Moiseevich Gelfand" (PDF) (76) (Newsletter of the European Mathematical Society ed.): 25–27. ISSN 1027-488X. Cite journal requires |journal= (help)

• Gelʹfand, I. M.; Graev, M. I.; Retakh, V. S. (1992). "General hypergeometric systems of equations and series of hypergeometric type. (Russian. Russian summary) Uspekhi Mat. Nauk 47" (76): 25–27. Cite journal requires |journal= (help)

• "Publications of Vladimir Retakh". Rutgers, The State University of New Jersey. 2011-01-08.

• Ретах В. (2009-12-25). "Об Израиле Моисеевиче Гельфанде". МЦНМО. Archived from the original on 2012-05-15. Retrieved 2012-04-15.

• "Ретах Владимир Соломонович : Публикации в базе данных Math-Net.Ru". mathnet.ru – Общероссийский математический портал. Retrieved 2012-04-15.

• "Israel Moiseevich Gelfand, Part I" (PDF). American Mathematical Society.

• "Israel Moiseevich Gelfand, Part II" (PDF). American Mathematical Society.

• "Gelfand Centennial Conference: A View of 21st Century Mathematics, MIT, Cambridge, Massachusetts,". 2013.

• Etingof, Pavel, Retakh, Vladimir S., Singer, I. M. (2013). "The Unity of Mathematics. In Honor of the Ninetieth Birthday of I.M. Gelfand".CS1 maint: uses authors parameter (link)