• Complex Network Theory.
  
  This is an interdisciplinary field which grew from the network structure analysis of different objects (social, informational, technological and biological), such as the Web, computer networks, information links in different media, personal contacts, business relationships, neural networks, metabolic networks, genetic regulatory networks and many others.
  
  I am working on:
  
  • Developing theoretical models for proper simulations of real world networks,
  • Analysis of link-link correlations in networks, developing algorithms for data mining in the network environment, especially network clustering and network classifying.
  
  
• Self-Organizing Private Cloud Computing System.
  
  It is obvious that most of the computer technologies are network-based. The main principles of such systems are developing right now. One of them is self-organization of the data distributed over a network in the style of private cloud.
  I am working on:
  
  • Developing of the data structures and algorithms for a self-organized data distribution.
  • Adopting of the existing technologies for practical application in the self-organizing private cloud.
  • Developing algorithms for data replication and data relocation in the private cloud.
  
  
• E-learning and AI in Higher Education.
  
  Adapting of the information technologies (IT) for specific needs of higher education is an interesting and complex task which involves both IT specialists and teachers and poses significant challenges in universities.
  
  I am working on:
  
  • Practical aspects of the IT and Generative AI utilization in higher education institutes.
  • Developing of the simple XML-based templates and tools for support of course material distribution and basic course management.
  • Computerized real world modeling as a learning method in higher education.

Publications.

• Phase transitions in a system of strongly correlated electrons.
  Work I did:
  
  • Phase diagram of the Hubbard model and the Extended Hubbard model in different conditions has been calculated.
  • Cluster approximation for systems with strong short range interaction, which is a natural extension of the mean field approximation, has been introduced.
  
  
• Diffusion in non-homogeneous systems.
  Work I did:
  
  • Phenomenon of dynamic percolation with diffusion in non-homogeneous medium has been introduced.
  • Application of the above phenomenon for thermo-chemical treatment of metals has been done.
  • Computer-aided control of the technological processes has been developed.