World-class International Mathematics Centers: Key Performance Results for 2019—2023.
Authors:   Russian Research Institute of Economics, Politics and Law in Science and Technology (RIEPL), Moscow, Russia, Belov Philip D. , Zvolinskaya Oksana V. , Gutkovskaya Elena A. , Huseynova Gunai V. 
Published: January 2025

Introduction. World-class international mathematical centers (WCMC)
were created within the framework of the national project “Science and
Universities”, in order to create opportunities for self-realization and development of talents; to ensure the presence of the Russian Federation
among the ten leading countries in the world in terms of research and development, including through the creation of an effective system of higher
education. The main goals of creating world-class international mathematical centers are: ensuring the advanced level of fundamental and applied
research in mathematics and related sciences; ensuring the professional
growth of young researchers in mathematics; intensification of scientific
and educational activities in various areas of modern mathematics, as well
as mathematical education and popularization of mathematics among the
Russian population; promotion of Russian mathematical research at the
world level and their integration into the international scientific community. Monitoring Tools. The methods of analysis, synthesis, and system approach were used in the process of work. The main sources of information
for analysis and evaluation are annual reports of international world-class
mathematical centers, programs of creation and development of centers,
analytical data of RIEPL, as well as statistical information available in
open sources and on official websites. Results and Discussion. The analysis of the activity of world-class international mathematics centers for
2019—2023 showed that most of the planned values of their performance
indicators were exceeded. At the same time, it is necessary to highlight
the obvious “leading centers” that achieved the maximum values for key
performance indicators — WCMC “Moscow Center for Fundamental and
Applied Mathematics” and WCMC “Mathematical Center in Akademgorodok”. WCMC has obtained the most important scientific results, including
those of applied importance. Among them are: the developed information
system “Epidemic”, designed to calculate the scenarios of occurrence and
development of epidemics taking into account the environmental, economic and social situation in the subjects of the Russian Federation; the
created principle model of diagnostics of blood flow disorders; constructed models of water purification using filters that absorb harmful impurities. Conclusion. WCMC, established with the support of the Ministry of
Education and Science of Russia, contribute to the achievement of Russia's strategic goals and its leading position in the world science and economy, including the development of human resources in science and the
creation of new jobs. Because of WCMC activity in the near future a new
generation of young mathematical scientists will appear, which will develop Russian science and education in the field of mathematical, computer
and natural science directions. The materials of the scientific article can be useful to public authorities in the field of regulation of science and higher
education in terms of implementation of activities of NP “Science and Universities”, participants of international world-class mathematical centers,
as well as researchers in the field of scientometrics.