Mathematical investigations into the Riccati equation and the geometry of Grassmannians define the career of Mikhail Il'ich Zelikin, who was born in Moscow in 1936. His research contributions span the complex intersections of optimal control theory, differential games, and the mechanics of multiple integrals within the broader context of Soviet and Russian mathematics.
Academic Formation and Early Work
Zelikin began his formal education at the Faculty of Mechanics and Mathematics at Lomonosov Moscow State University in 1953. Upon completing his undergraduate studies in 1958, he transitioned into a professional research role, holding positions at both the university and the Steklov Institute of Mathematics. During his doctoral studies, he worked under the academic supervision of Lev S. Pontryagin, focusing on foundational problems in differential equations and variational calculus.
Twenty questions, eight minutes on the clock, and a percentile measured against everyone who has taken it. No sign-up.
Take the IQ test →Research Contributions
The scope of his mathematical inquiry includes the theory of fields of extremals and the application of control theory to diverse fields such as astronautics, robotics, and economics. His publication record includes several monographs, notably 'Theory of chattering control', released in 1994, and 'Control theory and optimization', published in 2000. Beyond standard mathematical theory, he posited a scientific explanation for ball lightning centered on the hypothesis of plasma superconductivity.
Recognition and Public Engagement
Zelikin’s work earned him the Chebyshev Award in 1987 and the Lyapunov Award in 2010. In 2011, he was elected a corresponding member of the Russian Academy of Sciences. Outside of his specialized research, he engaged in environmental advocacy, specifically opposing the Northern river reversal project. He documented these observations and his broader personal reflections in the 2001 memoir titled 'History of Evergreen Life'.
Fast facts
- Born: 11 February 1936, Moscow
- Field: Geometry and differential equations
- Doctoral Supervisor: Lev S. Pontryagin
- Chebyshev Award: 1987
- Lyapunov Award: 2010
- Russian Academy of Sciences: Corresponding member since 2011
Questions readers ask
What is the focus of Zelikin's research?
He specializes in geometry and differential equations, with specific expertise in Riccati equations, optimal control theory, and the geometry of Grassmannians.
Did Zelikin contribute to fields outside of pure mathematics?
Yes, he authored a memoir titled 'History of Evergreen Life' and publicly criticized the Northern river reversal project in Russia.
Achievements
- Held posts at Steklov Institute of Mathematics
- Fields: geometry and theory of differential equations
