# Major topics of interest

Please choose the section and the editor, which are most close to the topic of your article. It is necessary to provide us with this information in a Cover Letter during the submission of the manuscript.

Algebra & Number Theory

Yuri Drozd*Representation theory and its applications in algebraic geometry and topology*

Ivan Fesenko*Modern number theory and its interaction with other areas*

Vyacheslav Futorny*Lie algebras, representation theory *Volodymyr Nekrashevych

*Group theory, dynamical systems*

Yaroslav Sysak *Group theory, associative rings and nearrings*

**Differential equations & Dynamical Systems**

Oleksandr Boichuk

*Differential equations, functional differential equations, integro-differential equations, boundary value problems, dynamical systems*

Ihor Parasyuk*Ordinary differential equations, nonlinear dynamics*

Viktor Tkachenko*Ordinary differential equations, difference equations*

Sergei Trofimchuk*Functional differential equations, dynamical systems*

**Geometry & Topology, Fractals**

Sergiy Maksymenko

*Geometric, algebraic and differential topology, dynamical systems, singularities theory*

Yuri Nikolayevsky*Differential geometry, Lie theory, graph theory*

Mykola Pratsovytyi*Metric and fractal theories of numbers, fractal geometry and fractal analysis, singular functions and singular measures, self-similar (auto-modeling) and nowhere differentiable functions*

Mykhailo Zarichnyi*General topology, asymptotic topology and coarse geometry, categorical topology*

**Functional Analysis, Operator Theory and PDEs**

Anatoly Kochubei

*Non-Archimedean analysis, fractional calculus, nonlocal operators*

Oleksandra Antoniouk*Nonlinear PDEs, **infinite-dimensional analysis*

Volodymyr Mikhailets*Partial and ordinary differential equations, operator theory, spectral **problems*

Vasyl Ostrovskyi*Representations of operator relations, Operator algebras.*

**Function Theory **Ihor Shevchuk

*Theory of functions, approximation theory*

Sergiy Plaksa*Complex and hypercomplex analysis, boundary value problems for analytic functions and singular integral equations*Anatoly Romanyuk

*Best m-term approximation, widths, entropy numbers*

**Mathematical Physics**

Anatoly Nikitin*Integrable systems, symmetries of partial differential equations, supersymmetry*

Dmitri Finkelshtein*Interacting particle systems, infinite-dimensional analysis, nonlocal kinetic equations*

Roman Popovych*Group analysis of differential equations, Lie algebras*

Alexei Rebenko*Mathematical problems of quantum field theory and statistical mechanics*

**Numerical and Applied Mathematics**

Volodymyr Makarov*Numerical functional analysis, special functions*

Sergei Pereverzyev*Regularization theory, information-based complexity, inverse problems, machine learning*

Sergii Solodky*Information-based complexity theory, Ill-posed problems, convergence analysis for numerical methods*

Vitalii Vasylyk

Computational mathematics, numerical functional analysis

**Probability and Statistics **

Andrey Dorogovtsev

*General theory of stochastic processes, stochastic analysis, stochastic interacting systems, stochastic ordinary and partial differential equations, probability in abstract spaces*

Andrey Pilipenko*Probability theory, stochastic processes*

Georgii Ryabov*Stochastic flows, random dynamical systems, Gaussian stochastic processes, probability distributions on infinite-dimensional spaces*