**Algebra and Mathematical Logic**- Group theory; Lie groups, semi-simple Lie groups and
algebras; rings and ideals; structural theory of Jordan
algebras. Set theory: constructible sets. Algorithm
theory.
- Ershov Yu.L.
- Bokut' L.A.
- Goncharov C.C.
- Kopytov V.N.
- Maksimova L.D.
- Mazurov V.D.
- Merzlyakov Yu.I.
- Morozov A.S.
- Paliutin E.A.
- Khrumtsov D.G.
- Kharchenko V.K.

**Calculus****Computational Mathematics**Splines. Monte Carlo method and turbulence. Numerical solutions of ordinary and stochastic equations. Digital filters. Numerical methods in linear algebra. Statistical methods for solving problems of mathematical physics. Approximation theory and computer graphics.- Smirnov D.M.
- Mikhailov G.A.
- Kargin V.A.
- Ilyin V.P.
- Sabelfeld K.K.

**Computational Methods For Mechanics Of Contiuuous Media**Differential approximations method.Numerical analysis; numerical methods for viscous fluid dynamics problems, Exact solution in continuum mechanics. Wave hydrodynamics in complex-shaped areas. Exact solutions of nonlinear kinetic equations.- Kovenya V.M.
- Shokin Yu.I.
- Kuznetsov V.G.
- Meleshko S.V.
- Grigoriev Yu.N.

**Computational Systems**- Computer architectures; parallel computation. Database
management systems. Design of real-time network operation
system.
- Glinskii B.M.

**Geometry And Topology**- Riemann Geometry. General theory of relativity: axiomatic
approach. Differentiable Riemannian manifolds. Integral
geometry: tensor analysis and Riemann geometry; theory of
generalized functions and Fourier transform. Chronometry.
Convex and visible compacts. Cobordism theories.
Algebraic topology.
- Kuz'minov V.I.
- Shvedov I.A.
- Sharafutdinov V.A.

**Hydrodynamics**- Free-boundary problems in fluid dynamics. Microgravity.
Self-generated oscillations. Scattering theory: Dirichlet
and Neumann problems. Seiche in harbors. Musical
instruments. Mufflers. Antennas.
- Teshukov V.M.
- Ovsyannikov L.V.
- Lyapidevskii V.Yu.

**Differential Equations**- Operator methods. Differential equations in ecology.
Well-posed boundary value problems with broken
boundaries; initial and boundary value problems for
Navier-Stokes equation for compressible viscous fluids.
- Blokhin A.M.
- Kazhikhov A.V.
- Godunov S.K.

**Analysis**- Analysis of weak derivatives. Klein groups.
Quasiconformal mappings. Nonstandard analysis. Analysis
on nilpotent groups. Potential theory and differential
equations. Theory of orbifolds.
- Reshetnyak Yu.G.
- Kutateladze S.S.
- Gutman S.E.
- Mednykh A.D.

**Mathematical Methods For Geophysics**- Computational methods for oceanic currents; ocean
dynamics problem. Hydrothermodynamical modeling of the
ocean. Numerical methods in atmospheric problems.
Numerical methods in environmental problems. Mathematical
methods in seismology, geophysics, and tomography.
Inverse problems for differential equations of
mathematical physics.
- Alekseev A.S.
- Bukhgeim A.L.
- Khisamutdinov A.I.
- Penenko V.V.
- Yakhno V.G.

**Mechanics Of Deformable Solids**- Mechanics of the geosphere. Nonlinear problem of
elasiticity theory. Cracks and fracture. Experimental
methods of mechanics of deformable solids.
- Annin B.D.

**Applied Mathematics**- Applied complex analysis: singular integral equations.
Dynamics of inclusions within vibrating liquids.
- Zelenyak T.I.

**Probability And Statistics**- Limit theorems in probability and statistics and their
applications. Central limit theorem in functional spaces;
large deviations; boundary problems; queuing theory.
- Borovkov A.A.

**Theory Of Functions**- Geometric theory of functions. Inverse and ill-posed
problems.
- Lavrentyev M.M.

**Theoretical Cybernetics**- Graph theory. Operations research. Combinatorics.
Discrete extreme value problem. Game theory. Discrete
analysis. Optimal process theory. Mathematical economics.
Languages for modeling. Statistical decision theory.
Algebraic coding theory. Pattern recognition.
- Dementyev V.T.
- Gimadi E.K.
- Lbov G.S.
- Vasiliev V.A.
- Zagoruyko I.G.

**Theoretical Mechanics**- Elasticity and plasticity. Diffusion models in ecology.
Boundary value problems on Riemann surfaces.
- Monakhov V.N.
- Bondar' V.D.