Mathematical structures:

• Discrete mathematical structures and applications
• Differential equations
• Analysis, geometry and topology

Mathematical modeling:

• Probability and statistics
• Operations research
• Numerical methods and scientific calculations
• Theory of approximations and foundations of mathematical models

Mathematical Informatics:

• Mathematical foundations of informatics
• Mathematical linguistics and knowledge processing
• Modeling of software and cognitive processes
• Modeling of information processes

Mathematical and Information Modeling of Educational Processes

Software Engineering:

• Evaluation of software quality
• Quality assurance and benchmarking
• Software technologies for computer-aided education
• Programming languages

Information Systems:

• Building and maintaining archives of scientific information and digital libraries with cultural heritage content
• Databases, multimedia databases, information systems
• Data mining, knowledge discovery, semantic image analysis
• Web application for numerical mathematics
• Internet and mobile applications for edutainment