The scope of the Institute for Applied Mathematics and Telecommunications includes the development of new mobile communication technologies, the software to improve the capacity of data transmission channels.

The Joint Institute for Chemical Research analyzes the synthesis of new drugs for the treatment of oncological and neuropsychiatric diseases; performs computer modeling of the biological activity of molecules, establishes the structure and properties of substances, determines their initial biological activity; as well as patents the tested methods of synthesis and biological activity.

S.M. Nikol’skii Mathematical Institute conducts research in the field of functional analysis, theory of functional spaces, ordinary differential equations, partial differential equations, nonlinear analysis, spectral theory of differential operators.

The Institute of Modern Languages, Intercultural Communication and Migration deals with issues of language identity and ethno-cultural dynamics in the context of globalization. The key activities of the Institute are:
● development of innovative models for teaching foreign languages, including Russian as a Foreign Language;
● training of professional translators, including simultaneous interpreters for international organizations;
● study of global migration processes and their social, cultural and communicative contexts;
● development of practical approaches to social and cultural adaptation and integration of migrants, as well as principles of migration security.

Science and Education Digital Development Institute was established to provide support and implementation of programmes in the field of digital transformation of science and education, as well as multidisciplinary support for public authorities, the University and scientific community with research, consulting, expert and analytical work in the field of digital and online technologies in the educational and scientific process.

The Institute takes an active part in the development of the most important scientific and educational issues, problems, activities, and solving applied problems of improving, developing, and integrating digital technologies, platforms, services, and solutions in accordance with the main directions of strategic development of the Russian Federation.

The Institute operates several key areas in which fundamental, search, applied research and development are carried out.