Scientific activity



The Department of Mathematics is one of the oldest departments of the university. Established in 1874, its first head was Yu. V. Sokhotsky, whose principal scientific research was devoted to the theory of functions of a complex variable, residue theory, algebra, and number theory. He laid the foundations of the theory of singular integral equations.

A significant contribution to the development of the main scientific areas made the scientists who headed the department in different periods of time: A. Ya. Bilibin (1920–1935), B. M. Koyalovich (1935–1940), V. V. Serafimov (1940–1941), S E. Lyapin (1942–1943), I.P. Natanson (1943–1957), S.N. Numerov (1958–1986), B. G. Wager (1986–1987), N. M. Ivochkina (1987 2012).
B. M. Koyalovich worked in the sphere of the theory of partial differential equations and theory of elasticity. I.P. Natanson was a major specialist in the field of the theory of functions of a real variable and the constructive theory of functions. The current St. Petersburg school of constructive theory of functions is largely composed of his students. S. N. Numerov conducted research in the theory of functions of a complex variable, the theory of filtration, gas dynamics, published three monographs translated into foreign languages.

N. M. Ivochkina, recipient of the S.V. Kovalevskaya prize (1997), Honored Worker of Higher School of the Russian Federation (2001), member of the St. Petersburg Mathematical Society and the American Mathematical Society, a specialist in the field of nonlinear partial differential equations, continued the tradition of the St. Petersburg mathematical school of studying differential equations founded by V. I. Smirnov and O. A. Ladyzhenskaya. The subject of her research is completely nonlinear second-order partial differential equations related to the Monge – Ampère equation: m-Hessian equations (stationary and evolutionary), curvature equations.

The Department of Mathematics continues the best traditions of scholars and teachers who laid foundations for profound theoretical research and academic traditions at the Department. At present, the Department’s staff works in four major research areas:
• Completely non-linear partial differential equations
• Probabilistic approaches in solving boundary value problems for non-linear parabolic equations and systems
• Stability and vibrations in non-linear control systems
• History of mathematics.

Faculties

  • Faculty of environmental engineering and municipal services
    Faculty of environmental engineering and municipal services
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    Faculty of civil engineering
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