School of Mathematics and Computer Sciences

Currently, four departments of the School of Mathematics and Informatics (formerly the School of Mechanics and Mathematics until September 1, 2015) provide training of bachelor’s degree students (duration of study — 4 years) in the following specializations: 

• Mathematics — with the qualification of Bachelor of Mathematics; 

• Applied Mathematics — with the qualification of Bachelor of Applied Mathematics; 

• Computer Science and Information Technologies — with the qualification of Bachelor of Computer Science and Information Technologies; 

• Secondary Education (Mathematics) — with the qualification of Bachelor of Secondary Education, teacher of mathematics and informatics. 

Master’s degree programs (duration of study — 1.5 years for the professional track and 2 years for the research track) are offered based on bachelor’s training in the following specializations: 

• Mathematics — with the qualification of Master of Mathematics; 

• Applied Mathematics — with the qualification of Master of Applied Mathematics; 

• Applied Mathematics (educational program Theoretical and Applied Mechanics, professional track) — with the qualification of Master of Theoretical and Applied Mechanics; 

• Computer Science — with the qualification of Master of Computer Science; 

• Secondary Education (Mathematics) — with the qualification of Master of Secondary Education (Mathematics), teacher of mathematics and informatics. 

Training is provided both under state-funded programs and on a contractual basis. Today, more than 400 students study at the School in full-time and part-time formats. 

The high quality of graduates’ training is ensured by the School’s cooperation with scholars from universities and research institutes in Ukraine and abroad. Currently, the School has 5 winners of international school mathematics olympiads and 10 winners of the All-Ukrainian mathematics olympiad for school students. 

History 
The distinguished history of the School, the successful development of mathematics and mechanics, and the solid academic training of students date back to the founding of the University in 1804, when the Departments of Pure Mathematics and Applied Mathematics were established within the Division of Physical and Mathematical Sciences. The School has nurtured deep traditions of devotion and passion for mathematics. These traditions were initiated by the first Professor of Mathematics at Kharkiv University — Timofei F. Osipovsky (1765–1832), who worked at the University from 1803 to 1822 and served as Rector from 1813 to 1820. Among the first alumni was the prominent mathematician Mykhailo V. Ostrogradsky (1801–1862). 

Mathematical traditions were further developed by such distinguished scholars as V. H. Imshenetsky (1832–1892), K. M. Andreyev (1848–1921), O. M. Lyapunov (1857–1918), V. A. Steklov (1864–1926), D. M. Sintsov (1867–1946), and S. N. Bernstein (1880–1968). The School of Mechanics and Mathematics was formally established in 1961, with Professor D. Z. Gordievsky (1901–1979) as its first dean. On September 1, 2015, the School was renamed the School of Mathematics and Informatics. 

The scientific and pedagogical activity of highly qualified scholars and professors has earned wide recognition, including such names as N. I. Akhiezer (1901–1980), Ya. P. Blank (1903–1988), V. M. Borok (1931–2004), V. L. Herman (1914–1964), H. A. Dombrovsky (1920–1996), H. I. Drinfeld (1908–2000), Ye. M. Zhmud (1918–2008), B. Ya. Levin (1906–1993), M. S. Livshits (1917–2007), V. M. Maizel (1900–1943), V. P. Petrenko (1936–1988), O. Ya. Povzner (1915–2008), O. V. Pogorelov (1919–2002), A. K. Sushkevich (1889–1961), I. V. Sukharevsky (1923–2000), I. Ye. Tarapov (1926–2002), I. Yu. Chudinovich (1949–2010), M. Yo. Kadets (1923–2011), B. V. Novikov (1946–2014), A. P. Hryshyn (1941–2015), I. D. Chuieshov (1951–2016), Yu. V. Handel (1934–2017), V. H. Drinfeld, Yu. I. Liubich, S. A. Masalov, Yo. V. Ostrovsky, Yu. K. Sirenko, V. O. Shcherbyna, A. H. Rutkas, A. A. Yantsevych. 

Today, the creative academic atmosphere of the School is actively supported by outstanding scholars and teachers: Corresponding Member of the National Academy of Sciences of Ukraine M. V. Shcherbina, Professors V. D. Gordievsky, H. M. Zholtkevych, V. I. Korobov, S. Yu. Favorsky, L. A. Vlasenko, V. K. Dubovyi, V. O. Zolotariov, M. F. Patsehon, H. M. Skliar, V. M. Kadets, V. V. Frolov, K. M. Rukkas, N. M. Kizilova, D. H. Shepelskyi, I. Ye. Yehorova, Department Chairs O. L. Yampolskyi, I. T. Zaretska, V. T. Lysytsia, as well as leading scientists and teachers from other research institutes of the National Academy of Sciences of Ukraine and other institutions: Academicians V. O. Marchenko, Ye. Ya. Khruslov, L. A. Pastur, Corresponding Members O. A. Borysenko, H. M. Feldman, Professors A. H. Boiev, S. V. Yershov, B. Ya. Kantor, V. M. Kontorovych, among others. 

The achievements of the School’s scholars and teachers have been recognized with the most prestigious prizes, awards, medals, honorary titles, grants, and acknowledgements. Currently, the School employs 60 academic staff, including one academician and two corresponding members of the National Academy of Sciences of Ukraine, 20 Doctors of Science, and 30 Candidates of Science. The School has four departments.

Research and Branches 
The scholars and teachers of the School of Mathematics and Informatics have made significant contributions in various areas of mathematics and informatics and have founded numerous scientific schools in Kharkiv, Kyiv, and other cities. Today, each department conducts research in modern fundamental and applied fields. 

• Department of Fundamental Mathematics (Head — Professor O. L. Yampolskyi): research areas include geometry of submanifolds in Lie groups, fibered spaces, constant curvature spaces, and Riemannian manifolds; geometry and topology of foliations; affine differential geometry; nonlinear problems of mathematical physics and qualitative theory of infinite-dimensional dynamical systems; complex and convex analysis; theory of subharmonic functions; growth and distribution of values of entire and meromorphic functions; mathematical and statistical physics; differential equations, including nonlinear integro-differential equations, delay equations, and equations in Banach spaces; analytical probability theory; geometry of Banach spaces; algebra. 

• Department of Applied Mathematics (Head — State Prize Laureate of Ukraine, Professor V. I. Korobov): research areas include general theory of analytical solutions to admissible synthesis problems in positional control with constraints; Lyapunov’s direct method; Markov moment problems; controllability and stabilization of dynamic systems; control of Timoshenko beam oscillations; algebraic methods in nonlinear control theory; numerical methods in singular and hypersingular integral equations of electrodynamics and diffraction theory; problems of continuum mechanics and electrodynamics; mathematical modeling of physical and financial-economic systems; spectral and probabilistic-statistical methods; Sobolev-type functional-differential, impulsive, and difference equations; spectral theory of operator bundles; modeling of media with complex properties in electromagnetic fields; magnetohydrodynamic phenomena; equilibrium and stability of shapes of free liquid surfaces in electromagnetic fields; dynamics of shock waves; nanostructured coatings; fluid flows in natural environments (river channels, ecosystems); modeling of human arterial, musculoskeletal, and dental systems; thermodynamics of biological growth; long-distance fluid transport in plants and animals; biothermohydromechanics; optimal biomechanical systems. 

• Department of Higher Mathematics and Informatics (Head — Associate Professor V. T. Lysytsia): research areas include model representations of nonlinear non-selfadjoint and non-unitary operators and their applications; theory of stochastic processes and their spectral properties; methods for solving problems of mathematical physics and nonlinear oscillation theory; inverse problems; diffraction theory; computational mathematics and electrodynamics; geometry of manifolds and submanifolds; Hamiltonian systems with closed trajectories. 

• Department of Theoretical and Applied Informatics (Head — Professor H. M. Zholtkevych): research areas include mathematical and computer modeling and its applications in software development and in the study of information-communication, natural, and socio-economic systems; mathematical logic and computability theory applied to programming theory and formal verification; soft computing and its applications in mathematical statistics and software engineering; quantum informatics. The department actively cooperates with software companies such as EPAM, NixSolutions, Sigma Software, Cloud Works, and others. 

A new interdisciplinary program of the School is the training of specialists in biostatistics, launched in cooperation with “Intego Group” (USA), “Expiriece” (USA), and the international pharmaceutical corporation “Roche Holding AG.” This program opens new opportunities for graduates to apply their mathematical knowledge and programming skills in supporting the development of new pharmaceutical products. 

The School maintains active scientific ties with many universities and research institutes in Ukraine, neighboring countries, as well as the USA, France, Germany, Brazil, the United Kingdom, Vietnam, Israel, Spain, Italy, Canada, China, Mexico, Turkey, and others. A student research society successfully operates at the School. Students are engaged in research from their early years, participating in scientific conferences and publishing their works. 

The School also offers PhD training in Mathematics, Applied Mathematics, and Computer Science. It has two specialized academic councils for defending dissertations: one for PhD dissertations in Mathematical Analysis, Differential Equations, Mathematical Physics, and Mechanics of Fluids, Gas, and Plasma; and another for PhD and doctoral dissertations in Mathematical Modeling and Computational Methods and Information Technologies. 

Professional Publications
The school publishes the following scholarly journals: Bulletin of V. N. Karazin Kharkiv National University, series Mathematics, Applied Mathematics and Mechanics, and series Mathematical Modelling. Information Technologies. Automated Control Systems, which are recognized as professional (peer-reviewed) publications. 

Professional Publications
The faculty publishes the following scholarly journals: Bulletin of V. N. Karazin Kharkiv National University, series Mathematics, Applied Mathematics and Mechanics, and series Mathematical Modelling. Information Technologies. Automated Control Systems, which are recognized as professional (peer-reviewed) publications. 

Educational Activities 

Students of all specialties receive a fundamental education in mathematics during the first two years of study, followed by advanced training tailored to their chosen specialty, specialization, and individual interests. 

Mathematicians delve into the theoretical depths of mathematical analysis, differential equations, higher algebra, mathematical physics, geometry and topology, mathematical statistics, infinite-dimensional spaces, functional analysis, the theory of real and complex functions, and homological algebra — disciplines that form the grand edifice of 21st-century mathematics. 

Applied mathematicians develop models of physical, technical, and financial-economic systems, using modern software to solve problems in numerical modeling, computer geometry, and the control of systems and processes. They learn to create extensions and add-ons for engineering computer graphics systems, office software, and specialized mathematical packages. Their work includes modeling the motion of fluids, gases, and plasma, addressing challenges in modern engineering, materials science, environmental studies, nanotechnology, biotechnology, aerospace, and biomedical applications. They master contemporary applied software packages for simulating complex processes and study biomechanics, which finds broad applications in medicine, sports, and biomedical engineering. 

Computer scientists, i.e., future specialists in computer science and information technology, are trained according to the international standard Computing Curricula 2005. They learn to develop software for both local and distributed platforms and to ensure information security. They apply mathematical and computer modeling to processes and systems across various natural science and engineering fields. Their studies include system programming, database management systems, mathematical analysis of computer programs, quantum informatics, and the design and development of information systems. 

At the end of the fourth year, students take a qualification exam to obtain a bachelor’s degree. Admission to the master’s program is based on a competitive process that considers academic performance over the previous four years and the results of entrance examinations. Graduates from any faculty of any higher education institution are eligible for admission. Departments that train master’s students in a given specialty provide specialized courses and supervise thesis work throughout the program. 

The faculty offers a double-degree master’s program in computer science in collaboration with the University of Nice – Sophia Antipolis (France). This program allows students in their final year of master’s studies to gain international experience, complete an internship at a renowned research center in computer science and automation, INRIA (France), and receive both a master’s degree from Karazin University and a French university diploma. This program is supported by the Ukrainian and French governments, as well as the Erasmus+ European program. For the specialties “Mathematics” and “Applied Mathematics,” a double-degree master’s program is offered in partnership with the University of L’Aquila (Italy). 

Acting Dean

Yevhen Serhiyovych Menyailov
Candidate of Technical Sciences, Associate Professor
Email: ievgen.meniailov@karazin.ua