Department of Theoretical Computer Science

Acting Head of the Department – Ryszard Mazurek, DSc, PhD

Scientific and didactic employees

Research and scientific profile

Acting Head of the Department – Ryszard Mazurek, D.Sc.

Research and scientific profile

1. Scientific activity:

The Department staff conduct research in the following distinct research areas:

• genetic algorithms and artificial intelligence methods in solving specific practical problems
• verification and specification of the properties of multi-agent systems
• the use of IT tools and information theory in study of capital markets, economics and finance
• data analysis methods and tools in social sciences
• noncommutative algebra and graph theory
• computer algebra
• problems in analytic and descriptive geometry, practical applications

The research conducted by individual members of the Department focuses on the following topics:

• application of artificial intelligence methods in the issues of survival data analysis
• application of artificial intelligence methods in transport issues
• graph algorithms in the optimization of vehicle fleet management
• satisfiability checking of strategic logic formulas applied to the verification and specification of the properties of multi-agent systems
• use of IT tools in capital market research, with emphasis on the market microstructure
• data analysis methods and tools in social sciences
• application of information theory in economics and finance
• negotiation theory
• behavioral aspects of decision making
• multi-criteria decision support
• application of comparative analysis methods in economics
• selected topics of the theory of magmas
• selected topics of the theory of semigroups
• description of the properties of finite groups and their applications in geometry
• group algebras of finite groups
• description of some classes of associative rings, including rings with derivations
• properties of rings expressible in terms of ideals
• Hopf algebras
• selected topics of algebraic graph theory
• offset curves and surfaces, offset approximation

Research projects led by the Department staff:

• “Distinguished classes of associative rings” (No. 1 P03A 032 27), carried out in 2004–2007. The project was funded by the Ministry of Science and Information Technology (State Committee for Scientific Research). Project leader: Piotr Grzeszczuk
• “Market-timing models for Polish mutual funds performance evaluation” (No. N N113173237), carried out in 2009–2011. The project was funded by the Ministry of Science and Higher Education. Project leader: Joanna Olbryś
• “Comparative research on commonality in liquidity on the Central and Eastern European stock markets” (No. 2016/21/B/HS4/02004), carried out in 2017–2020. The project was funded by the National Science Centre (NCN) under the OPUS 11 programme. Project leader: Joanna Olbryś

2. Teaching:

The Department members teach the following courses at the Faculty of Computer Science:

Obligatory Courses:

• Algebra
• Algorithms and Data Structures
• Applied Algebra
• Databases
• Data Exploration and Analytics
• Discrete Mathematics
• Dynamical Systems
• Econometrics
• Experimental Mathematics
• Financial Engineering
• Financial Mathematics
• Graduation Seminar
• Introduction to Computer Science
• Linear Algebra
• Linear Algebra and Analytic Geometry
• Logic and Set Theory
• Logic for Computer Scientists
• Mathematical Logic
• Modelling Economic Processes
• Multivariate Analysis Methods
• Number Theory and Cryptography
• Portfolio Theory
• Probability Theory
• Scientific Calculations in Practice

Elective Courses:

• Actuarial Mathematics
• Artificial Neural Networks
• History of Mathematics
• Methods of Multivariate Analysis for Economic and Social Research
• Portfolio Theory

3. Scientific circles:

The Department members supervise (or co-supervise) two student scientific circles:

• Math4You: the main goal of the Circle is to popularize mathematics and develop a passion for research. Members of the Circle participate in the organization of cyclical events popularizing mathematics, such as Podlasie Mathematics Days and Pi Day.
• Algebra Student Research Circle (temporarily suspended): the main goal of the Circle is to spread the knowledge of algebra and related fields among students, beyond the subject of the course lectures.
  
  4. Competitions and events organized (co-organized) by the Department members:

The Department members participate in the organization of the following competitions:

• Bialystok University of Technology Mathematics Competition – an annual competition for Polish secondary school students organized since 2003.

• Białystok IT Scientists Test – an annual competition of IT knowledge and skills, addressed to students of Podlasie universities and Polish secondary school students, co-organized with renowned IT companies and other companies employing IT specialists in our region.
• Applied Mathematics
• International Competition Naboj

and in events

• Podlasie Days of Mathematics
• Pi Day

As part of the Faculty’s cooperation with primary and secondary schools of the region, the employees of the Department offer lectures promoting mathematics and computer science. Some of the employees are members of the Mathematics Popularization Center ‘Signum’.