Аннотация:The paper provides a brief description of the main areas of research currently carried out by the Department of Theoretical Informatics of the Faculty
of Mechanics and Mathematics of Moscow State University within the framework of the scientific and educational school "Brain, Cognitive Systems and Artificial Intelligence" organized at Moscow University, which unites groups of researchers and teachers from a number of faculties and institutes.
Key words: Artificial Intelligence, Big Data, Mathematical Modeling.