Structure
Department of Physics and Applied Mathematics
Description of activity
Scientific profile and mission
Didactics
The Department conducts extensive teaching and outreach activities in mathematics, physics, and their applications in computer science. We place particular emphasis on developing students’ logical thinking skills, understanding fundamental concepts, and building connections between theory and practice. Courses taught by our team provide a foundation for further education in technical and scientific fields.
In mathematics, we offer courses in mathematical analysis, linear algebra, discrete mathematics (including logic and the foundations of probability theory), and information theory and coding. We pay particular attention to logical concepts, which form the foundation for programming, algorithms, and computational theory.
The Physics and Electronics Laboratory introduces students to the physical fundamentals of computer hardware. These classes cover the theory of electrical circuits, the operation of measurement equipment, and the practical design and testing of electronic circuits on breadboards. The course aims to develop the ability to combine theoretical knowledge with engineering practice.
Scientific research
The department’s research activities revolve around interdisciplinary research in physics, applied mathematics, and theoretical computer science. Although the research is conducted by independent teams, they share a common goal of understanding complex phenomena using precise mathematical tools and physical modeling.
One of the key research areas is ferroelectric materials and the electrocaloric effect. Current work focuses on physical phenomena occurring in ferroelectric structures, in which spontaneous electric polarization can be controlled by an external field. Of particular interest is the electrocaloric effect, which finds applications in modern cooling technologies, microelectronics, and power electronics. Research encompasses both experimental aspects and theoretical modeling of these phenomena, considering their potential for practical applications.
In parallel, theoretical physics and classical field theory are being developed, investigating nonlinear dynamical systems and topological structures such as solitons, kink defects, and domain walls. Sine-Gordon and signum-Gordon models are being analyzed, including in the context of curved spacetime geometry, as in the case of Schwarzschild geometry. This work also concerns the dynamics of fluxons in Josephson junctions and the influence of geometric perturbations on the behavior of topological structures. Preliminary models describing the Dirac field and its variants, such as the Majorana field, are also being developed in the context of fundamental theories of physics. The department also conducts research on field-theoretic equations and the foundations of mathematical logic. This includes the analysis of Bogomolny equations and the search for their solutions and physical applications, as well as research on functionally invariant solutions of selected equations in theoretical physics. At the same time, work is being developed on the consistency of deductive systems, including Peano arithmetic, and the problem of logical entailment, resulting in, among other things, the proposal of atomic logic.
In the field of quantum mechanics and atomic physics, research is being conducted on three-electron systems, particularly lithium atoms and ions. Calculations are performed within the relativistic Dirac-Coulomb theory, taking into account corrections for Breit interactions and radiative effects. The goal is to describe the precise structure of energy levels and dipole transitions for a wide range of elements (Z = 4–116). This work supports the development of precise methods for atomic spectroscopy and the validation of relativistic theories.
Another research stream concerns analytical methods for solving differential equations in quantum mechanics. A method for transforming the Schrödinger equation into the Ricatti equation has been developed, allowing for the full parameterization of known solutions and the discovery of new, analytically solvable potentials. This method also works well in the context of relativistic equations and leads to new, precisely defined quantization conditions. Applications to the three-dimensional Schrödinger equation with spherical symmetry are currently being investigated.
Quantum computing complements the above fields, focusing primarily on the theoretical foundations of quantum computation. Research is underway on the representation of quantum states, quantum information theory, and a review of classical algorithms such as Shor’s and Grover’s algorithms. The operating principles and structure of quantum computers are also analyzed, as are selected aspects of quantum error correction.
The Department conducts both fundamental and applied research, combining modern mathematical and computer science approaches with classical problems of theoretical physics. The interdisciplinary nature of its work fosters the creation of innovative solutions and the development of new research tools.
Department of Data Science
Description of activity
Scientific activity
The Department of Data Science conducts interdisciplinary research covering a wide range of applications of modern data analysis and machine learning methods. We specialize in data processing, statistical analysis, and visualization using Python libraries, supporting various fields and scientific disciplines.
Our activities include projects involving the analysis of biomedical images and biological structures using image processing and machine learning algorithms. We also apply various machine learning models in areas such as materials science, bioinformatics, biomedicine, and physical and biological simulations.
A significant part of our research involves the design and implementation of specialized software, including software that generates distributions of non-overlapping geometric objects on a plane and visualizes energy fluxes for various configurations of circular inclusions. We also develop approximation methods for estimating the effective conductivity of composite materials based on regular inclusion grids, and we analyze the conductivity of random composite materials with non-circular inclusions.
We are also interested in applying structural sums to modeling the collective behavior and dynamics of microbial populations, including determining population leaders and describing their interactions and development. We also use structural sums to describe the geometric information contained in models and real samples of composite materials, and to analyze the distributions of objects extracted from biomedical images using regularization methods.
Additionally, research conducted at the department encompasses broadly defined artificial intelligence, the development and optimization of machine learning algorithms, and their practical applications. We also focus on natural language processing (NLP), the analysis and interpretation of human language by computers, and the creation of recommendation systems tailored to user preferences.
Our activities are complemented by data mining, the aim of which is to obtain useful information from large data sets, thus supporting decision-making processes and the development of innovative solutions.
Members
Head of the Department
Department of Computer Engineering and Cybersecurity
Description of activity
Scientific profile and mission
The Department of Computer Engineering and Cybersecurity conducts teaching and research in strategic areas of digital technology development. Combining fundamental knowledge of computational systems with modern applied solutions, the department creates an intellectual space for educating highly qualified engineers of the future.
The main areas of activity include:
- architecture of modern and embedded computing systems,
- operating systems and distributed computing,
- network technologies, communication protocols and IoT systems,
- hardware and software platforms for automation and monitoring,
- application of artificial intelligence in engineering and cybersecurity.
Cybersecurity plays a special role as a key element of the sustainable development of digital infrastructure. Research includes:
- protection of critical infrastructure,
- intelligent intrusion and anomaly detection systems,
- biometric technologies and cryptographic protocols,
- security of cyber-physical systems and unmanned platforms,
- legal and organizational aspects of digital resilience.
The mission of the department is to educate a new generation of engineers capable of combining systems thinking with practical skills in designing and securing modern computing systems that respond to the challenges of the digital age.
Publication activity
In the years 2023–2025, the department’s staff published over 15 scientific papers in renowned international journals, including Applied Sciences, Sustainability, Sensors, Eastern-European Journal of Enterprise Technologies, Advanced Information Systems.
The research covered issues such as:
- security of smart city infrastructure,
- ADS-B protection and drone safety,
- mathematical modeling of radar interactions (GERT),
- intelligent analysis of biometric data,
- AI system resilience and data protection in IoT environments,
- UAV route modeling and data recognition.
Publications are indexed in Scopus, Web of Science and national scientific databases.
Conferences and scientific events
The Department actively develops scientific cooperation and participates in the organization and implementation of conferences and events devoted to current issues of digital security and systems engineering.
Main events:
- International scientific conference (Kraków, 2024): Problems of Scientific, Technical and Legal Support for Cybersecurity in the Modern World. A peer-reviewed volume of conference proceedings has been published (ISBN: 978-83-68020-86-1).
- IEEE DESSERT’2023 (Ateny, Grecja): 13–15 October 2023 – referat: Intelligent Extraction of the Informative Features for UAV Motion Modelling (DOI: 10.1109/DESSERT61349.2023.10416476).
- Warsaw-Kyiv Resilience Forum (Warszawa, December 2024): Participation in panels on digital resilience and cross-border security.
- Grant Conference (Sweden–Poland–Ukraine, 2025): Papers on AI Threats and Responsible Response Strategies.
International projects and grants
The Department actively participates in international research and development projects, implementing joint initiatives with research centers in Europe and beyond..
International grant (2024–2025): AI Cyber Threats: Raising Awareness of AI-generated Cyber Threats. The project is carried out in cooperation with Högskolan i Halmstad (Sweden) and the University of Lviv (Ukraine). The aim is to analyze cybersecurity threats generated by artificial intelligence and develop educational and technical strategies to counter them.
The project includes conferences, publications and activities disseminating knowledge about the responsible use of AI technology.
Members
Head of the Department
Department of Software Engineering
Description of activity
The Department of Software Engineering (IO) was established on September 30, 2024 as a unit within the structure of the Institute of Security and Information Technology.
Structure:
- 6 professors/assistant professors;
- 6 lecturers/assistant lecturers.
Areas of scientific research:
- Areas of scientific research: research on cognitive processes related to learning programming using eye-tracking techniques;
- information technology security;
- cybersecurity;
- industrial electronics;
- Internet of Things;
- computer engineering;
- software engineering;
- IT technologies;
- cryptanalysis;
- cryptography;
- electrical and photometric measurements;
- networks: optical and radio, wireless sensor networks and their security;
- information systems;
- artificial intelligence;
- lighting technology.
Didactics
The Department of Software Engineering participates in the education of students in the fields of Computer Science and Cybersecurity, first and second cycle, full-time and part-time studies.
Members
Institute of Computer Science