Abrosimov, Alexander Viktorovich

In 1971, he graduated from the Faculty of Mathematics and Mechanics of Gorky State University , then taught for a year at Kuibyshev University . The next four years he worked at the Research Institute of Applied Mathematics and Cybernetics at Gorky University. Since 1984, having graduated from the graduate school of the Faculty of Mechanics and Mathematics of the Moscow State University named after MV Lomonosov , he taught at the Gorky University (since 1990 - Nizhny Novgorod) University: Assistant Professor of the Mathematics Department of the Radio Physics Faculty, Associate Professor of the Theory of Functions of the Faculty of Mechanics and Mathematics, invited teacher at the Higher School of General and Applied Physics (base department of the Institute of Applied Physics of the Russian Academy of Sciences and the Institute of Physics of Microstructures of the Russian Academy of Sciences).

He participated in the work of the jury of city math olympiads, read lectures to schoolchildren in summer physics and mathematics schools.

He loved music, in his youth was a jazz pianist. Gathered a large DVD-collection of jazz, movies and computer programs.

After the death of A.V. Abrosimov, his students and colleagues (including a professor at Moscow State University, UNN and foreign universities) compiled an obituary , which the university journal Vestnik NNUU refused to print. However, the journal Notices of the American Mathematical Society published a brief obituary with a photo and a list of selected works by AV Abrosimov.

Family

Father - Viktor Nikolaevich Abrosimov, worked in the divisions of the Gorky Railway.

Mother - Evgeniya Andreevna Volodina, had three higher educations, worked on the Gorky Railway.

In 1984 he defended his thesis on the topic "Complex differential systems and tangential Cauchy-Riemann equations" (headed by Professor B. V. Shabbat ).

Main areas of research:

• complex analysis and geometry, in particular, the geometry of CR-manifolds. Investigated overdetermined systems of partial differential equations and applied the technique developed by him to the problems of complex analysis and geometry. AV Abrosimov proved that holomorphic automorphisms of a quadric of codimension two are realized by birational transformations of degree two; demonstrated the capabilities of differential algebra in CR-geometry; proved that under certain general conditions, the stabilizer of a point in the automorphism group of a quadric in Cn is some linear group; one of the first to begin the study of the class of varieties of the CR-dimension one, which still remains the object of active study.

Selected Works

• On some overdetermined systems with partial derivatives // DAN Taj. SSR. - 1971 .. - T. 4, No. 6. (8 p., In collaboration with L. G. Mikhailov).
• The generalized Cauchy-Riemann system with many independent complex variables // DAN SSSR. - 1973. - T. 210, No. 1. (4 p., In collaboration with L. G. Mikhailov).
• Beltrami system with several independent complex variables // DAN SSSR. - 1977. - T. 236, No. 6. (4 p.)
• Uniqueness theorems for CR-functions // Dep. in VINITI. - UNN, 1983. - 5 p.
• Complex differential systems and tangent Cauchy-Riemann equations // Mat. collection of the USSR Academy of Sciences. - 1983. - Vol. 122 No. 4. (16 p.)
• On integrability of complex differential systems // Differential equations and their applications. - M .: MSU, 1984. (8 p.)
• Complex differential systems and tangent Cauchy-Riemann equations: Dis. ... Cand. Phys.-Mat. sciences. - M., 1984. - 99 p.
• Complex differential systems and tangent Cauchy-Riemann equations: Author's abstract. dis. ... Cand. Phys.-Mat. sciences. - M., 1984. - 13 p.
• On the Integrability of Complex Differential Systems with Completely Integrable Subsystems // Dep. in VINITI. - UNN, 1984. - 4 p.
• On locally biholomorphic mappings of hypersurfaces in complex spaces // Dep. in VINITI. - UNN, 1985. - 13 p.
• On local automorphisms of some varieties of codimension two // Dep. in VINITI. - UNN, 1987. - 16 p.
• On locally biholomorphic equivalence of smooth hypersurfaces in C2 // DAN SSSR. - 1988. - T. 299, No. 4. (5 p.)
• On the equations of local CR-diffeomorphisms of hypersurfaces in Cn // Dep. in VINITI. - UNN, 1988. - 12 p.
• On automorphisms of a single manifold of codimension greater than two // Proc. report conf. by multidimensional complex analysis. - Tashkent, 1989. - 1 p.
• On local automorphisms of surfaces of a CR-dimension 1 in Cn // Dep. in VINITI. - UNN, 1989. - 8 p.
• On the linearity of locally biholomorphic automorphisms of quadrics of codimension 2 // Depo. in VINITI. - 1992. - 10 p.
• On local automorphisms of some quadrics of codimension 2, Mat. notes of RAS. - 1992. - Vol. 52 No. 1. (6 p.)
• Description of locally biholomorphic automorphisms of standard quadrics of codimension 2 // Mat. compilation of RAS. - 1993. - T. 184, № 10. (52 p.)
• Automorphisms Of Standard Quadrics Of Codimension Two // American Mathematical Society 1064-5616 / 95. (42 p.)
• Biholomorphic mappings of some surfaces of CR-dimensionality 1 in Cn + 1 // Proc. report international conf. on integrated analysis and related issues. - N.Novgorod, 1997. (1 p.)
• On the linearity of automorphisms of standard quadrics of codimension m in Cn + m // Math. notes of RAS. - 2003. - T. 73, No. 1. (5 p.)
• Linearity of Standard Quadrics of Codimension m in Cn + m // Mathematical Notes. - 2003. - № 1. (5 p.)
• On the Cauchy Problem for Equations and Systems of First-Order Partial Differential Equations, Tr. scientific conf. teaching and scientific innovation complex "Models, methods and software." - UNN, 2007. (6 p.)
• On the spectral radius and resolvent of the Cauchy-Green operator // Vestnik UNN. - 2009. (7 p.)
• On the linear dependence of smooth functions on open subsets in R // Bulletin of UNN. - 2009. (12 p.)

Educational and methodical work

• Introduction to modern methods of analysis: Part 1 - External forms: Method. developed by - Gorky: GGU, 1987. - 20 p.
• Introduction to modern methods of analysis: Part 2 - Vector fields and differential forms: Method. developed by - Gorky: GGU, 1988. - 20 p.
• Introduction to the theory of CR-functions: Part 1 - Tangent Cauchy-Riemann equations: Method. developed by - Gorky: GGU, 1988. - 14 p.
• Reduction of Hermitian bilinear and quadratic forms to canonical form: Method. developed by - Gorky: GGU, 1988. - 20 p.
• Signs of convergence of numerical series: Method. developed by - Gorky: GGU, 1989. - 14 p.
• Exercises for functional analysis: Proc. allowance. - N.Novgorod: UNN, 1992. - 76 p. (in collaboration with V. A. Kalyagin, A. A. Ryabinin, V. N. Filippov)
• Acquaintance with the mathematical packages of Maple V and Scientific Work Place // Educational and methodological materials on the advanced training program "The use of software in scientific research and the teaching of mathematics and mechanics." - N.Novgorod: UNN, 2008. (90 p.)
• Lectures on ordinary differential equations: Method. developed by for students VSHOP UNN. - 2009 (The electronic version is available on the VShPF website http://vshopf.nnov.ru/subjects/difur.html ; the date of circulation is 01.09.2011).

• Beloshapka V. et al. Alexander Abrosimov (Eng.) // Notices of the AMS. - 2012. - Vol. 59, no. 11 - P. 1569-1570.