Translation. Region: Russian Federal
Source: Peoples'Friendship University of Russia –
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The first winner of the international RUDN Prize for scientific achievements and merits in the field of mathematics in the amount of 5 million rubles was a scientist from St. Petersburg, Sergei Ivanov. The winner of the award is a doctor of physical and mathematical sciences, corresponding member of the Russian Academy of Sciences, professor of the St. Petersburg State University and chief researcher of the St. Petersburg branch of the Steklov Mathematical Institute of the Russian Academy of Sciences.
The RUDN Prize was established in 2025 and will be awarded every three years. A total of eight applications were received for the first competition: four from Russian scientists, one from an international team from Russia and Colombia, and three more from scientists from Italy, China, and Azerbaijan.
"Each application was sent for review to two external experts – specialists in the relevant field who were not part of the selection committee. Leading scientists from Russia, Germany, France, Portugal, the USA, China and the Netherlands were involved. The experts assessed the scientific significance of the results that the candidates had achieved in their work and their compliance with the world level. They assessed each work on a 10-point scale," – Alexander Skubachevsky, Doctor of Physical and Mathematical Sciences, Director of the S.M. Nikolsky Mathematical Institute of RUDN.
After the experts' assessment, it was time for the competition committee to work. It consisted of 14 people, including 5 foreign scientists. Secret voting for candidates took place in two rounds: in the first round, several people could be chosen, in the second, voting was allowed for only one candidate for the prize.
"The jury had a difficult task – to objectively compare works from different scientific fields, each of which was of great value. After a detailed discussion, the commission came to a unanimous decision, focusing on key criteria: scientific novelty, the influence of the author's works on the further development of this area of mathematics and their compliance with the world level. The winning project stood out for its particular depth and scientific significance, becoming the undisputed leader," – Alexander Skubachevsky.
The winner of the RUDN Prize Sergey Vladimirovich Ivanov is one of the leading geometers of our time. He has solved a number of long-standing open problems formulated by outstanding mathematicians. In particular, we are talking about the Hopf conjecture on tori without conjugate points, the Busemann problem for two-dimensional polyhedral surfaces with given directions of faces, and the Banach problem on isometric subspaces of dimension 4. Solutions to some of these problems formed the basis of new significant theories. The professor's scientific interests cover not only geometry, but also the theory of dynamical systems, where he has achieved results of the highest level. Sergey Ivanov solved one of the main problems of KAM theory (on the dynamics outside KAM tori), and he was also the first to obtain an exponential lower bound on the number of collisions in systems of hard balls. He was awarded the prize for outstanding works in metric geometry, which laid the foundations for new areas of science.
The professor's scientific interests cover not only geometry, but also the theory of dynamic systems, where he has achieved results of the highest level. Sergei Ivanov solved one of the main problems of KAM theory (on the dynamics outside KAM tori), and he was also the first to obtain an exponential lower limit on the number of collisions in systems of hard balls. He was awarded the prize for outstanding works in metric geometry, which laid the foundations for new areas of science.
The winning works that were submitted to the competition:
S. Ivanov, D. Mamaev, A. Nordskova, Banach's isometric subspace problem in dimension four, Inventiones mathematicae, 2023, No. 233, pp. 1393-1425 (ARWU, Scopus TOP-5% taken into account). D. Burago, S. Ivanov, Boundary rigidity and filling volume minimality of metrics close to a flat one, Annals of Mathematics, 2010, No. 171, p. 1183–1211 (ARWU, Scopus TOP-1% taken into account). D. Burago, S. Ivanov, Examples of exponentially many collisions in a hard ball system, Ergodic Theory and Dynamical Systems, 2021, No. 41, p. 2754–2769 (Scopus Q1). Ch. Fefferman, S. Ivanov, Ya. Kurylev, M. Lassas, H. Narayanan, Reconstruction and Interpolation of Manifolds. I: The Geometric Whitney Problem, Foundations of Computational Mathematics, 2020, No. 20, p. 1035–1133 (Scopus TOP-5%). D. Burago, S. Ivanov, Riemannian tori without conjugate points are flat, Geometric and Functional Analysis, Vol. 4, No.3 (1994) (Scopus TOP-5%).
The official award ceremony will take place at RUDN on August 18 during the International Conference on Differential and Functional-Differential Equations DFDE.
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