Mathematical logistics, algebra and theory of numbers
Qualification given: Researcher in the field of physical and mathematical sciences
Academic degree: Ph.D. of Physical and Mathematical Sciences
Facultyт: Faculty of Computer Science and Electronics
Department: Department of Mathematics and Computer Security
Forms of study: full-time – 3 years, part-time – 4 years, independent degree seekers– 5 years
Mathematical logistics, algebra and theory of numbers is a field of mathematical science that involve the study of properties of integers; study of sets with established algebraic operations and relations; research of features solution of algebraic equations systems solution; the study of the general structure of mathematical theories, their models, and algorithmic processes.
Areas of study
- Logical and logical-mathematical languages, systems, and theories.
- Algorithmic decidability of logical and logical-mathematical theories.
- Set theories.
- Theories of algebraic structures.
- Algebraic geometry and topological algebra.
- Category theories and universal algebra.
- Analytical, algebraic, geometric, and algorithmic number theories.
- Diophantine equations and approximations.
Professional competencies
- Understanding of mathematical logic, algebra, and number theory.
- Knowledge of modern achievements and trends in these areas.
- Proficiency in methods of proof and symbolic computation.
- Ability to conduct independent scientific research.
- Formulation of relevant scientific problems and development of methodologies for their solution.
- Data analysis, generalization of results, and preparation of publications.
- Application of analytical methods and mathematical models to solve practical problems.
- Systems analysis, abstract thinking, and logical interpretation.
- Numerical calculations, simulations, and visualization of mathematical objects.
Graduate destinations
- Scientific research activities. Teaching in higher education institutions.
- Research in mathematical logic, algebra, and number theory.
- Development of new mathematical theories, methods, and applications.
- Analyst, expert, or consultant in various organizations.
- Participation in the development of strategic decisions and business process optimization.
- Consultation on the application of mathematical tools and technologies.
- Creation of startups in the field of mathematical software products.
- Commercialization of the results of scientific research.
- Development of knowledge-intensive businesses based on mathematical methods and technologies.
