A 1988 mathematical procedure created by Alexander Abrosimov allowed researchers to determine if two specific smooth real hypersurfaces maintain a local CR-diffeomorphic relationship. This contribution to complex analysis and CR-geometry remains a reference point for specialists, reflecting a career defined by his systematic exploration of overdetermined partial differential equations and quadric automorphisms.
Academic Formation
Born in 1948 in the city of Kuibyshev, now Samara, Alexander Abrosimov pursued his undergraduate education at the Department of Mechanics and Mathematics of the State University of Gorky, graduating in 1971. He later undertook graduate studies at Lomonosov Moscow State University. Under the supervision of Professor Boris Shabat, he earned a candidate of Sciences degree in Physics and Mathematics in 1984, defending a dissertation focused on complex differential systems and tangential Cauchy–Riemann equations.
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Abrosimov began his research career in 1971, initially focusing on overdetermined partial differential equation systems. Throughout his tenure, he applied methods from differential algebra to investigate CR-geometry. His work specifically addressed the CR-automorphisms of real quadrics of higher codimension. Among his findings, he established that holomorphic automorphisms of a quadric with codimension two are represented by birational transformations of degree two. Additionally, he proved that the stabilizer of a point within the automorphism group of a quadric in Cn typically functions as a linear group.
Pedagogy and Professional Tenure
Throughout his professional life, Abrosimov maintained a dual role as both a mathematician and an educator. He served as an Associate Professor within the Theory of Functions Subdepartment at the N. I. Lobachevsky State University of Nizhny Novgorod. Furthermore, he acted as an Invited Lecturer at the Advanced School of General and Applied Physics. This institution served as a base department for both the Institute of Applied Physics and the Institute for Physics of Microstructures of the Russian Academy of Sciences.
Fast facts
- Born: 1948, Samara
- Died: 2011, Nizhny Novgorod
- Academic Degree: Candidate of Sciences in Physics and Mathematics
- Education: N. I. Lobachevsky State University of Nizhny Novgorod
- Field: Geometry and complex analysis
- Key Supervisor: Boris Shabat
- Citizenship: Russia and Soviet Union
- Scientific output: Over 25 published works
Questions readers ask
What was Abrosimov's primary field of research?
He specialized in geometry, specifically within the realm of complex analysis and the study of CR-manifolds and quadric automorphisms.
Where did Abrosimov spend his academic career?
He was primarily affiliated with the N. I. Lobachevsky State University of Nizhny Novgorod, serving as an Associate Professor and lecturer.
Achievements
- Held posts at N. I. Lobachevsky State University of Nizhny Novgorod
- Fields: complex analysis, geometry and mathematics
