Postgraduate education

your way to PhD degree

Professors and Themes

Algebra and Logic

Dr. Marat M. Arslanov

Doctor of Science

Full Professor

Marat.Arslanov[at]kpfu.ru

Full Professor

Marat.Arslanov[at]kpfu.ru

1) Mathematical Logic

2) Algebra

3) Computability theory

4) Theory of Algorithms

2) Algebra

3) Computability theory

4) Theory of Algorithms

Dr. Sergej M. Skryabin

Doctor of Science

Full Professor

Serge.Skryabin[at]kpfu.ru

Full Professor

Serge.Skryabin[at]kpfu.ru

1) Hopf algebra

2) Quantum groups

3) Lie algebras

2) Quantum groups

3) Lie algebras

Dr. Iskander Sh. Kalimullin

Doctor of Science

Assotiate Professor

Professor of Russian Academy of Sciences

ikalimul[at]gmail.com

Assotiate Professor

Professor of Russian Academy of Sciences

ikalimul[at]gmail.com

1) Mathematical Logic

2) Algebra

3) Computability theory

4) Theory of Algorithms

2) Algebra

3) Computability theory

4) Theory of Algorithms

Dr. Adel N. Abyzov

PhD

Associate Professor

Adel.Abyzov[at]kpfu.ru

Associate Professor

Adel.Abyzov[at]kpfu.ru

1) Rings and modules close to regular.

2) Modules close to projective and injective.

3) Rings of formal matrices.

4) Continuous and discrete modules.

5) Rickart and Baer rings and their generalizations.

6) Retractable and coretractable modules.

7) Applications of category theory and homological algebra to ring and module theory.

2) Modules close to projective and injective.

3) Rings of formal matrices.

4) Continuous and discrete modules.

5) Rickart and Baer rings and their generalizations.

6) Retractable and coretractable modules.

7) Applications of category theory and homological algebra to ring and module theory.

Dr. Yuri A. Al'pin

PhD

associate professor

Yuri.Alpin[at]kpfu.ru

associate professor

Yuri.Alpin[at]kpfu.ru

Linear algebra

Analysis and Function Theory

Dr. Semyon Nasyrov

Doctor of Science

Full Professor

snasyrov[at]kpfu.ru

Full Professor

snasyrov[at]kpfu.ru

•Geometric theory of functions of complex variable

•Riemann surfaces

•Quasiconformal mappings

•Boundary value problems for analytic functions

•Riemann surfaces

•Quasiconformal mappings

•Boundary value problems for analytic functions

Dr. Boris Kats

Doctor of Science

Full Professor

Boris.Kac[at]kpfu.ru

Full Professor

Boris.Kac[at]kpfu.ru

•Boundary value problems of cpmplex analysis in domains with non-smooth, non-rectifiable, and fractal boundaries;

•Generalized integration over non-rectifiable contours and applications;

•Metric dimensionals of fractal and non-rectifiable curves.

•Generalized integration over non-rectifiable contours and applications;

•Metric dimensionals of fractal and non-rectifiable curves.

Dr. Yurii Obnosov

Doctor of Science

Full Professor

yobnosov[at]kpfu.ru

Full Professor

yobnosov[at]kpfu.ru

•Boundary value problems for analytic functions with applications in heterogeneous media

Dr. Ilgiz Kayumov

Doctor of Science

Full Professor

ikayumov[at]kpfu.ru

Full Professor

ikayumov[at]kpfu.ru

•Extremal problems of complex analysis,

•Boundary value problems,

•Boundary behavior of conformal mappings

•Boundary value problems,

•Boundary behavior of conformal mappings

Dr. Elena Shirokova

Doctor of Science

Full Professor

Elena.Shirokova[at]kpfu.ru

Full Professor

Elena.Shirokova[at]kpfu.ru

•Solution of boundary value problems with applications to continuum mechanics

Dr. Leonid Aksentev

Doctor of Science

Full Professor

Leonid.Aksentev[at]kpfu.ru

Full Professor

Leonid.Aksentev[at]kpfu.ru

•Complex Analysis

•Boundary value problems

•Boundary value problems

Dr. Airat M. Bikchentaev

Doctor of Science

Associate Professor

Associate Professor

1) Spaces and other classes of measurable

(with respect to a trace on von Neumann algebra)

operators and their properties.

2) Topology of convergence in measure and locally in measure on algebras of measurable

(with respect to a trace on von Neumann algebra)

operators and their properties.

3) Quantum logics of idempotents in von Neumann algebras and C*-algebras

and states on them.

4) Quantum logics of sets and states on them.

(with respect to a trace on von Neumann algebra)

operators and their properties.

2) Topology of convergence in measure and locally in measure on algebras of measurable

(with respect to a trace on von Neumann algebra)

operators and their properties.

3) Quantum logics of idempotents in von Neumann algebras and C*-algebras

and states on them.

4) Quantum logics of sets and states on them.

Dr. Renat Gumerov

PhD

Associate Professor

Renat.Gumerov[at]kpfu.ru

Associate Professor

Renat.Gumerov[at]kpfu.ru

•Homology in Banach and topological algebras and modules

•*C**-algebras and representations, their applications in algebraic quantum field theory

•Coverings of compact groups and Weierstrass polynomials

• Functional and numerical analysis in tensor spaces

•Applications in signal and image processing

•

•Coverings of compact groups and Weierstrass polynomials

• Functional and numerical analysis in tensor spaces

•Applications in signal and image processing

Dr. Rustam Salahudinov

PhD

Associate Professor

Rustem.Salakhudinov[at]kpfu.ru

Associate Professor

Rustem.Salakhudinov[at]kpfu.ru

•Isoperimetric inequalities of mathematical physics

•boundary value problems for elliptic type equations

geometric function theory

•boundary value problems for elliptic type equations

geometric function theory

Fluid and Solid Mechanics

Dr. Andrey Egorov

Doctor of Science

Full Professor

Andrey.Egorov[at]kpfu.ru

Full Professor

Andrey.Egorov[at]kpfu.ru

1) Asymptotic methods for mechanical problems solve

2) Turbulent Flow Modeling

3) Problems of multiphase flow through porous media

2) Turbulent Flow Modeling

3) Problems of multiphase flow through porous media

Dr. Damir Gubaidullin

Doctor of Science

Full Professor

Corr. Member of Russian Academy of Science

DAGubajdullin[at]kpfu.ru

Full Professor

Corr. Member of Russian Academy of Science

DAGubajdullin[at]kpfu.ru

Dynamics and thermophysics of multiphase media

Dr. Dmitry Maklakov

Doctor of Science

Full Professor

Dmitri.Maklakov[at]kpfu.ru

Full Professor

Dmitri.Maklakov[at]kpfu.ru

1) Numerical-analytical methods of fluid mechanics

2) Jet and cavitation flows

3) Problems of the theory of waves on water

4) Complex analysis

2) Jet and cavitation flows

3) Problems of the theory of waves on water

4) Complex analysis

Dr. Alexander Mazo

Doctor of Science

Full Professor

Full Professor

1) CFD

2) Turbulent flow modelling

3) Heat transfer

4) Simulation of oil reservoir development

2) Turbulent flow modelling

3) Heat transfer

4) Simulation of oil reservoir development

Dr. Konstantin Potashev

Doctor of Science

Associate Professor

Konstantin.Potashev[at]kpfu.ru

Associate Professor

Konstantin.Potashev[at]kpfu.ru

1) oilfield hydromechanical simulation

2) mathematical modeling in problems of ecology

2) mathematical modeling in problems of ecology

Dr. Lenar Sultanov

PhD

Associate Professor

Lenar.Sultanov[at]kpfu.ru

Associate Professor

Lenar.Sultanov[at]kpfu.ru

Finite deformations

Hyperelasticity, plasticity

Contact interaction

Hyperelasticity, plasticity

Contact interaction

Dr. Sergei Solovev

PhD

Associate Professor

Sergey.Solovyov[at]kpfu.ru

Associate Professor

Sergey.Solovyov[at]kpfu.ru

1) Dynamics of Multiphase Flow

2) Computational Fluid Dynamics

3) Modern CFD soft

4) Biphasic flow in porous media

5) Chemical reactor modernization

2) Computational Fluid Dynamics

3) Modern CFD soft

4) Biphasic flow in porous media

5) Chemical reactor modernization

Geometry, Topology and Cosmology

Dr. Vadim V. Shurygin

Full Professor

Doctor of Science

Doctor of Science

Geometry and topology of smooth manifolds over Weil algebras and their applications in the differential geometry of higher order.

Dr. Yurii Ignat'ev

Full Professor

Doctor of Science

Ignatev-Yurii[at]mail.ru

Doctor of Science

Ignatev-Yurii[at]mail.ru

1) Mathematical Physics

2) High-energy Physics

3) Plasma Physics

4) Theoretical Physics

5) Mathematical Modelling, Numerical Methods and Program Systems

6) Astrophysics, Celestial Astronomy

2) High-energy Physics

3) Plasma Physics

4) Theoretical Physics

5) Mathematical Modelling, Numerical Methods and Program Systems

6) Astrophysics, Celestial Astronomy

Dr. Arkadiy A. Popov

Associate Professor

Doctor of Science

Doctor of Science

1) Topological handles (wormholes) in curved space-times.

2) Energy condition of the matter content in curved spaces-times.

3) Fields with a non-minimal coupling to the space-time curvature.

4) Exact solutions in the multidimensional f(R) gravity.

2) Energy condition of the matter content in curved spaces-times.

3) Fields with a non-minimal coupling to the space-time curvature.

4) Exact solutions in the multidimensional f(R) gravity.

Dr. Evgenii N. Sosov

Associate Professor

Doctor of Science

Doctor of Science

1) Main metric invariants of finite metric spaces;

2) Convex and finite sets of geodesic spaces;

3) The action of the multiplicative group of nonzero real numbers on the pointed Lobachevsky space;

4) The best net, the best section, and the Chebyshev center of bounded set in special metic space (and in infinite-dimensional Lobachevskii space).

2) Convex and finite sets of geodesic spaces;

3) The action of the multiplicative group of nonzero real numbers on the pointed Lobachevsky space;

4) The best net, the best section, and the Chebyshev center of bounded set in special metic space (and in infinite-dimensional Lobachevskii space).

Dr. Pyotr N. Ivanshin

Associate Professor

PhD

PhD

1) Approximations in metric spaces;

2) Conformal mappings;

3) Approximate solutions of elliptic differential equations.

2) Conformal mappings;

3) Approximate solutions of elliptic differential equations.

Dr. Vadim V. Shurygin , Jr.

Associate Professor

PhD

PhD

1) Point and contact transformations of differential equations.

2) Differential invariants.

3) Feedback transformations.

Levels of higher education

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