- Probability Theory in Groups
- Graphs Associated to Groups and Their Applications
- Splicing Systems and Their Applications
- Homological Functors
- Crystallographic Groups
- Spectral Theory of Schrodinger Operators
- Integral Equation Approach for Numerical Conformal Mapping and Complex Boundary Value Problems
- p-adic Analysis
- Number Theory
- Cryptography
- Application of Conformal Mapping in Medical Image Processing
- Markov Chain (p-adic)