| Department of Ill-Posed Problems | Head |
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| Laboratory of Ill-Posed Processes | Anikonov D.S. |
| Laboratory of Wave Phenomena | Romanov V.G. |
| Laboratory of Inverse Problems Mathematical Physics | Anikonov Yu.E. |
| Research Group "Special Problems of Mathematical Physics" | Councillor of RAS
Lavrent'ev M.M. |
| Laboratory of Function Theory | Aseev V.V. |
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| Department of Differential Equations | Head |
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| Laboratory of Numerical Questions of Problems of Mathematical Physics | Blokhin A.M. |
| Laboratory of Differential Equations and Close Points of Analysis | Belonosov V.S. |
| Laboratory of Differential and Difference Equations | Demidenko G.V. |
| Laboratory of Dynamical Systems | Taimanov I.A. |
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| Department of Analysis and Geometry |
| Prof. Reshetnyak Yuri Grigor'evich | Head |
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| Laboratory of Geometry and the Theory of Real Functions | Vodop'yanov S.K. |
| Laboratory of Functional Analysis | Gutman A.E. |
| Laboratory of Topology and Chronogeometry | Kuzminov V.I. |
| Laboratory of Applied Analysis | Vesnin A.Y. |
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| Department of Algebra |
| Prof. Mazurov Victor Danilovich | Head |
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| Laboratory of Rings Theory | Zhelyabin V.N. |
| Laboratory of Algebraic Systems | Palyutin E.A. |
| Laboratory of Group Theory | Mazurov V.D. |
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| Department of Mathematical Logic |
| Prof. Goncharov Sergei Savostyanovich | Head |
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| Laboratory of Logical Systems | Morozov A.S. |
| Laboratory of Computation Theory and Applied Logic | Goncharov S.S. |
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| Department of Theoretical Cybernetics | Head |
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| Laboratory of Discrete Analysis | Evdokimov A.A. |
| Laboratory of Discrete Optimization Problems | Gimadi E.K. |
| Laboratory "Mathematical Models of Decision Making" | Beresnev V.L. |
| Laboratory of Graph Theory | Borodin O.V. |
| Temporary Research Group "Perfect structures" | Avgustinovich S.V. |
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| Free Lance Department | Head |
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| Laboratory of Probability and Mathematical Statistics | Lotov V.I. |
| Laboratory of Theoretical Physics | Achasov N.N. |
| Laboratory of Data Analysis | Zagoruiko N.G. |
| Temporary Group "Junior researchers" | |
| Laboratory of Numerical Methods of Mathematical Analysis | Fadeev S.I. |
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Departments