There are a number of recognized authoritative scientific and pedagogical schools, carrying out educational and scientific activities at the global level, including:
– School of Mathematical Analysis (Department of Mathematical Analysis and theory of functions of of Mechanical and mathematical faculty, leader professor Gulko S.P.);
– School of Algebra (Department of Algebra of Mechanical and mathematical faculty, leader professor Krylov P.A.);
– School of Parallel Computer Technologies (Department of Computing mathematics and computer modeling of Mechanical and mathematical faculty, leader professor Starchenko A.V.);
– School of probabilistic and statistical methods and their applications (Department of Mathematical Analysis and Theory of Functions of Mechanical and mathematical faculty, International laboratory of statistics of random processes and quantitative financial Analysis of TSU - University of Rouen (France), Federal Professor of mathematics, leader professor Pergameshchikov S.M.);
– School of Engineering Mechanics and Thermal Physics (Department of Theoretical mechanics of Mechanical and mathematical faculty, leader professor Sheremet M.A.).