Research
The researchers of the Department of Fundamental Mathematics work in the following areas of mathematics:
| Algebra | ||
| Lie algebras, quantum groups, Poisson geometry, representation theory |
E. Karolinsky |
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| Geometry | ||
| Affine differential geometry, geometry of submanifolds in affine spaces |
O. Shugailo |
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| Differential geometry of Lie groups and homogeneous spaces, geometry of submanifolds in homogeneous spaces |
E. Petrov |
orcid scopus researchgate scholar.google |
| Foliations on Riemannian manifolds, geometric topology, metric geometry |
D. Bolotov |
scopus researchgate scholar.google |
| Geometry of submanifolds in fiber bundles, geometric properties of vector fields and sections of vector bundles |
A. Yampolsky |
orcid scopus scholar.google mathnet researchgate |
| Grassmann manifolds and Grassmann (Gauss) image of submanifolds, pseudo-spherical submanifolds, Bianchi-Bäcklund transformations, minimal surfaces, polyhedra and their deformations, integrable systems |
V. Gorkavyy |
orcid scopus scholar.google mathnet |
| Function Theory | ||
| Complex analysis: holomorphic functions, subharmonic functions, functions of several complex variables |
S. Favorov, N. Girya |
orcid scopus researchgate scholar.google scholar.google |
| Harmonic analysis |
S. Favorov |
orcid scopus researchgate scholar.google |
| Special classes of entire functions: growth estimates and distribution of zeros; polynomials: location of zeros |
A. Vishnyakova |
orcid scopus scholar.google researchgate |
| Functional Analysis | ||
| Banach algebras, differential and difference equations in Banach spaces |
S. Gefter |
scopus scholar.google |
| Banach space theory |
V. Kadets, О. Zavarzina |
orcid scopus researchgate scholar.google orcid scopus researchgate |
| Operator theory, interpolation problems of analysis |
V. Dubovoy |
scopus researchgate scholar.google |
| Partial Differential Equations and Mathematical Physics | ||
| Asymptotic behaviour of solutions to partial differential equations, dynamical systems |
Т. Fastovska, І. Ryzhkova, A. Shcherbina |
orcid scopus researchgate scholar.google scopus scholar.google orcid |
| Delay differential equations; state-dependent delay, dynamical systems |
A. V. Rezounenko, |
orcid scopus scholar.google |
| Inverse spectral problems for differential equations,integrable nonlinearequations |
D. Shepelsky |
orcid scopus researchgate scholar.google |
| Mathematical problems of kinetic theory of gases |
V. Gordevskyy, О. О. Hukalov |
researchgate scopus scopus researchgate |
| Mathematical problems of statistical physics, neural networks and spin glass theories, spectral theory of random matrices |
М. Shcherbina |
scopus scholar.google |
| Probability Theory | ||
| Analytic problems of probability theory on groups |
І. Iljinskaya |
springer |
| Analytic problems of probability theory, arithmetics of probability distributions |
A.Iljinsky |
scopus researchgate |
The researchers of the Department of Pure Mathematics participate in the following research projects
in Ukraine:
«Geometric and Asymptotic Methods of theTheory of Boundary Problems of Mathematical Physics»
B. Verkin ILTPE of NASU
State registration number: 0116U005036
Principal investigator: academician of NASU Ye. Ya. Khruslov (B. Verkin ILTPE of NASU)
Co-investigators: D.Sc. D. V. Bolotov, D.Sc. V. О. Gorkavyy
Period: Jan 2016 - Dec 2020
«Matrix and Differential Operators and their Applicationsin Quantum Informatics, Integrable Systems, and Statistical Physics»
B. Verkin ILTPE of NASU
State registration number: 0116U005035
Principal investigator: corresponding member of NASU М. Shcherbina
Co-investigator: D.Sc. D. Shepelsky
Period: Jan 2016 - Dec 2020
«Operators in Banach, Hilbert, Functional Spaces and Fourier Quasicristals»
V. N. Karazin Kharkiv National University
State registration number: 0118U002036
Principal investigator: D.Sc., prof. V. Kadets
Co-investigator: D.Sc., prof. S. Favorov
Period: Jan 2018 - Dec 2020
Project of the National Research Foundation of Ukraine
«Operators in infinite dimensional spaces: connection between geometry, algebra, and topology»
V. N. Karazin Kharkiv National University
Registration number: 2020-2022
Principal investigator: D.Sc., prof. V. Kadets
Period: 2020 - 2022
International projects:
FROM MODELING AND ANALYSIS TO APPROXIMATION
Funded by: VOLKSWAGEN STIFTUNG
Principal investigator: JUERGEN PRESTIN (University of Luebeck, Germany)
Co-investigator in V.N. Karazin Kharkiv National University – PhD T. Fastovska
Period: Jan 2020 - Dec 2022
TÉCNICAS GEOMÉTRICAS Y ALGEBRAICAS EN EL ESTUDIO DE LOS OPERADORES EN ESPACIOS DE BANACH
Funded by: MINISTERIO DE CIENCIA, INNOVACIÓN E UNIVERSIDADES
State registration number: PGC2018-093794-B-I00
Principal investigators: MIGUEL MARTÍN SUÁREZ, GINÉSLÓPEZ PÉREZ
Investigator in V.N. Karazin Kharkiv National University: D.Sc., prof. V. Kadets
Period: Jan 2019 - Dec 2021
