Synthetic Organic Chemistry

• Novel reactions and reagents.
• Novel approaches in electrophilic addition: "doping-addition",  SO₃-mediated addition of weak electrophiles.
• Nucleophilic properties of nucleofugic anions. Synthesis of organic perchlorates, triflates, fluorosulfates.
• Novel hypervalent I⁺³,  Xe⁺²,  Se⁺⁴,  Te⁺⁴ reagents and their use in synthesis.
• Cage compounds,  heteroadamantanes,  bicyclo[3.3.1]nonanes.
• Cyclopropanes,  triangulanes and related polycyclic compounds.

  Stereochemisty and Conformational Analysis

• The problem of conformational effects.
• Description of ring puckering.
• Abstract configurations and chirality.

  Mathematical Chemistry and Computer Sciences

• The problem of topological indices; graph theory in application to chemical problems.
• Development of the "Formal-Logical Approach" as the basis for:
  • Classification of organic reactions,
  • Exhaustive construction of symbolic equations,
  • Search for novel reactions and reaction design,
  • Non-empirical computer-assisted synthesis.
• Structural generators, structural design.

  Medicinal Chemistry

• Anti-cancer and neuroprotector compounds.
• QSAR, drug design and molecular modelling.
• Inverse problem in QSAR.
• Neural networks in QSAR.