Vladimir Retakh

Role and Affiliation: Vladimir Retakh is a Professor of Mathematics at the Department of Mathematics, Rutgers University. He holds the title of Tenured Faculty in the Tenured and Tenure Track Faculty category. His primary affiliation is within the Faculty of Arts and Sciences (SAS) at Rutgers.

Education:

• Ph.D. in Mathematics, Moscow Pedagogical Institute (1973)
• M.A. in Mathematics Education (with honors), Moscow Pedagogical Institute (1970)

Research Interests:

Retakh specializes in noncommutative algebra and its applications, including noncommutative Lie theory, algebraic aspects of analysis, homological algebra, and algebraic topology. He also contributes to mathematics education. His work bridges abstract algebra with areas like integrable systems, mathematical physics, and combinatorics. Recent research focuses on noncommutative marked surfaces, quasideterminants, and Painlevé equations in noncommutative settings.

Articles and Trends:

His recent publications explore topics such as noncommutative Toda chains, discrete Painlevé equations, and symplectic groups over noncommutative algebras. These studies highlight his expertise in noncommutative geometry and integrable systems, often involving quasideterminants and algebraic structures derived from surfaces and lattices.

Awards and Honors:

• Fellow of the American Mathematical Society
• Alfred P. Sloan Foundation Award (1990)

Grants and Service:

• Recipient of grants from NSA, Simons Foundation, and NSF
• Editorial roles at Selecta Mathematica and Discrete Mathematics and Theoretical Computer Science
• Service to the profession includes roles in promotion committees and educational outreach

Labs and Collaborations:

Retakh collaborates extensively with researchers in algebra and mathematical physics. His work often intersects with geometric and combinatorial structures, leveraging tools like quasideterminants and cluster algebras.