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News
October 12, 2026
Road Injuries Leading Cause of Death Among Men Aged 10 to 39
Worldwide, road injuries are the leading cause of death among males aged 10–39. An international team of researchers reached this conclusion as part of the Global Burden of Disease Study 2023, analysing data from 204 countries between 1990 and 2023. Their findings have been published in The Lancet Public Health, with HSE University Professor Vasily Vlassov listed among the collaborators.
October 8, 2026
HSE Experts Take Part in 23rd Annual Meeting of Valdai Discussion Club
The 23rd Annual Meeting of the Valdai Discussion Club was held from September 28 to October 1, 2026 under the theme ‘Responsibility for the Future: Limits of the Possible, or Limitless Possibilities?’ The forum brought together 120 experts from 40 countries, including representatives of China, the United States, India, Brazil, the United Kingdom, Germany, Egypt, Iran, and Japan.
October 7, 2026
‘Our Team Consists of True Leaders in Their Respective Academic Disciplines
The HSE International Centre of Decision Choice and Analysis studies a wide range of methods for analysing decision-making and possible scenarios for the development of natural, socio-economic, and political phenomena using various mathematical models. The application of advanced mathematical methods to forecasting helps to prevent negative outcomes and avoid erroneous decisions. The HSE News Service spoke to the centre’s director, Prof. Fuad Aleskerov, about its work.

 

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О теории почти-векторных пространств

Фундаментальная и прикладная математика. 2015. Т. 20. № 5. С. 197–202.
Чистяков Д. С., Хауэлл К.
Priority areas: mathematics
Language: Russian
Keywords: группа
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Pairings on the algebra of Laurent series over a ring
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We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
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Iterative construction of the R-matrices in arbitrary dimensions
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter. By analyzing the ...
Added: September 24, 2026
On static manifolds with boundary admitting a nowhere-vanishing static potential
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
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Vague stimulating ideas, images and metaphors in scientific thinking: researchers' work with horizons of unclear knowledge
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Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
On phase-lock area parquet in a special slow-fast limit of model of Josephson junction.
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B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
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Infinitely many graph manifolds with unique geometrical piece that admit arbitrarily many Anosov flows
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Anosov flows have a long and rich history, firstly motivated by the study of geodesic flows in negative curvature surface by Anosov and Sinai. Not every closed manifold admits an Anosov flow for well-known reasons: the fundamental group of a 3-manifold M admitting an Anosov flow must have exponential growth, and M must be universally covered by R3. Nevertheless, there ...
Added: August 31, 2026
New bound on S1× S2-setting Bell locality of a nonseparable Werner state
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In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a  nonseparable Werner state with a ...
Added: July 21, 2026
On functional equations for Chow polylogarithms
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Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity. To prove this, we study ...
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Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
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Strong Approximations for Markov Chains Weakly Converging to Diffusions
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
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Added: June 11, 2026
Bifurcations and Structural Stability of Generic PC-HC Families
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In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
On the minimum number of maximal distance-k independent sets in trees
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A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
On Arithmetic Mirror Symmetry for smooth Fano fourfolds
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The text substantiates the urgency of preventing deviant behavior among children and adolescents amid an increase in acute forms of risk behavior, including school bullying, suicidality, and violence, and highlights the need to renew schools’ educational and preventive functions. It clarifies the concept of deviance and argues that peer-group dynamics are a key mechanism in ...
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Потенциал низкопороговых досуговых пространств в контексте социализации подростков и формирования детских коллективов
Azyrkin P., Майоров В. С., В кн.: Коллектив, группа, сообщество: ресурсы и вызовы в образовании школьников.: М.: Национальный исследовательский университет "Высшая школа экономики", 2025. С. 90–105.
The article examines the potential of low-threshold leisure spaces as contemporary “third places” for adolescent socialization, contributing to the formation of peer groups and the development of collective agency. Drawing on socialization theory and the concept of the “third place,” the authors analyze the evolution of socialization institutions in the Russian context and describe practices ...
Added: December 19, 2025
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The text reconstructs the theoretical foundations of Soviet pedagogy of collective education and demonstrates how the idea of the “collective” became central to Russia’s psychological and pedagogical tradition and to Soviet educational policy. The review compares key definitions and models of collective development (Shatsky, Krupskaya, Makarenko, Umansky, Lutoshkin, Petrovskiy), as well as approaches to measuring ...
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Коллектив, группа, сообщество: ресурсы и вызовы в образовании школьников
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Этот сборник написан, чтобы показать всю многогранность того, как коллективы, группы и сообщества вносят вклад в социализацию и воспитание детей, подростков и молодежи. Хотя для современности характерны сдвиг к индивидуализму, процессы глобализации и цифровизации, тем не менее коллективные практики остаются значимыми для личностного развития, формирования ценностей и гражданской ответственности. Авторы сборника переосмысливают подходы, опирающиеся на ...
Added: December 15, 2025
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This article discusses the formation of collective memory within Chechen tayps, focusing on the underlying mechanisms of this process. It investigates the development of tayp identity and the preservation of traditions in the post-conflict era of the Chechen Republic. The study employs content analysis of 24 sources related to Chechen tayps. The objective is to explore ...
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Статья содержит наглядное изложение элементов теории групп, порождённых отражениями в конечномерных евклидовых пространствах, основанное на естественнонаучном понятии калейдоскопа. Она предназначена преподавателям линейной алгебры и геометрии, дискретной математики, учителям специализированных физико-математических классов школ и студентам факультетов математики и информатики различных направлений подготовки, включая ряд физических и инженерных специальностей. Через рассмотрение калейдоскопов отмечаются взаимосвязи между несколькими различными ...
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