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- Field Theory
- Distribution theory
- Commutative algebra
- Riemannian geometry
- Partial differential equations
- Numerical analysis and scientific calculus
- Problems of linear evolutions
- Ordinary differential equations and dynamic systems
- Homotopy
- Algebraic topology
- Stochastic processes
- Number theory
- Spectral theory
- Probability and Stochastic Processes
- Algebraic Geometry