Logic, Algebra, Analysis, Differential Equations, Geometry and Topology, Mathematical Physics, Probability and Statistics, Discrete Mathematics, Computer Science

• Basis of Mathmatics, Set Theory, Model Theory
• Computability and Theory of algorithms
• Logic Calculuses, Proof Theory, Nonclassic logics

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• Numbers Theory

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• Algebraic Structures
• Groups
• Representation of Continuos Groups. Lie Groups
• Algebraic geometry, algebraic groups, algebraic K-theory

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• Topology
• Geometry
• Mathematical analysis
• Theory of real functions
• Complex analysis

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• Qualitative and analitical theory of ordinary differential equations
• Functional differential equations
• Boundry value and eigenvalue problems for ordinary differential equations
• Asymptotical methods for ordinary differential equations

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• General theory for linear adn quasilinear partial differential equations
• Asymptotical methods and average theory for partial differential equations
• nonlinear problems for partial differential equations

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• Mathematical physics
• mathematical control theory and calculus of variations
  • Game theory and theory of statistical decisions
• Functional analysis
• Computing methods in mathematics

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• probability theory
• Mathematical statistics

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• discrete mathematics and graph theory
• Operations research and mathematical programming
• Mathematical problems of artificial intellect

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• Mathematical Modeling