?
Expanded Personality as the Main Entity and Subject of Philosophical Analysis: Implications for Education
Doklady Mathematics. 2023. Vol. 108. No. 1. P. 331–341.
A. L. Semenov, K. E. Ziskin
Civilizational change is quickening, not only in the lifetime of the current generation, as is usually said in such cases, but in our own. Over the past decade, a variety of fundamental changes have taken place in the world around us, and it is more than just the advent of this or that information technology that we encounter literally every day. What follows is an obvious statement that someone has probably said before, but unfortunately we have not found a primary source: Change has never been so fast and will no longer be as slow as it is today, in the 21st century.
Buryak A., Clader E., Tessler R., Journal of Differential Geometry 2024 Vol. 128 No. 1 P. 1–75
We conclude the construction of $r$-spin theory in genus zero for Riemann surfaces with boundary. In particular, we define open $r$-spin intersection numbers, and we prove that their generating function is closely related to the wave function of the $r$th Gelfand--Dickey integrable hierarchy. This provides an analogue of Witten's $r$-spin conjecture in the open setting ...
Added: June 23, 2026
Buryak A., Shadrin S., Epijournal de Geometrie Algebrique 2024 Vol. 8
We present a family of conjectural relations in the tautological cohomology of the moduli spaces of stable algebraic curves of genus g with n marked points. A large part of these relations has a surprisingly simple form: the tautological classes involved in the relations are given by stable graphs that are trees and that are decorated only by powers ...
Added: June 23, 2026
Buryak A., Rossi P., Letters in Mathematical Physics 2024 Vol. 114 Article 97
We give explicit formulas for the number of meromorphic differentials on $CP^1$ with two zeros and any number of residueless poles and for the number of meromorphic differentials on $CP^1$ with one zero, two poles with unconstrained residue and any number of residueless poles, in terms of the orders of their zeros and poles. These ...
Added: June 23, 2026
Buryak A., Rossi P., Zvonkine D., Geometry and Topology 2024 Vol. 28 P. 2793–2824
We prove that the cohomology classes of the moduli spaces of residueless meromorphic differentials, ie the closures, in the moduli space of stable curves, of the loci of smooth curves whose marked points are the zeros and poles of prescribed orders of a meromorphic differential with vanishing residues, form a partial cohomological field theory (CohFT) of ...
Added: June 23, 2026
Buryak A., Труды Математического института им. В.А. Стеклова РАН 2024 Т. 325 С. 26–66
The main goal of the paper is to show that the DR hierarchies, introduced by the author in an earlier paper, allow one to establish, in the most clear way, a relation between the topology of the Deligne–Mumford compactification of the moduli space of smooth algebraic curves of genus g with n marked points and integrable systems ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Калужский печатный двор, 2026.
Conference Proceedings INTERNATIONAL CONFERENCE
“Mathematical Ideas of Academician
P.L. Chebyshev, Their Applications in Natural
Sciences and Artificial Intelligence Technologies”
dedicated to the 205th anniversary of his birth ...
Added: June 20, 2026
Джанбекова А. Р., Shvedov A. S., Математическое моделирование 2026 Т. 38 № 3 С. 159–176
Boundary value problems for the Black–Scholes partial differential equation, which describes the value of a financial instrument, may contain a free boundary condition if the financial instrument allows for early exercise. This article considers free boundary value problems for the Black–Scholes equation and the convection diffusion equation. For the convection diffusion equation, a finite difference ...
Added: June 20, 2026
Buryak A., Tessler R., Troshkin M., Journal of Geometry and Physics 2026 Vol. 223 Article 105783
We give a natural definition of open Hurwitz numbers, where the weight of each ramified covering includes an integer parameter N taken to the power that is equal to the number of boundary components of a Riemann surface with boundary mapping to . We prove that the resulting sequence of partition functions, depending on , is a tau-sequence of ...
Added: June 19, 2026
Buryak A., Rossi P., Communications in Mathematical Physics 2025 Vol. 406 Article 205
Of the two approaches to integrable systems associated to semisimple cohomological field theories (CohFTs), the one suggested by Dubrovin and Zhang and the more recent one using the geometry of the double ramification (DR) cycle, the second has the advantage of being very explicit. The Poisson operator of the DR hierarchy is , where is the metric ...
Added: June 19, 2026
Cham: Springer Publishing Company, 2026.
The four-volume set LNCS 16483-16486 constitutes the refereed conference proceedings of the 48th European Conference on Information Retrieval, ECIR 2026, held in Delft, The Netherlands, during March 29–April 2, 2026.
The 46 full papers and 37 short papers presented together with 10 findings papers, 9 reproducibility papers, 17 resource papers, 11 workshop papers, 7 tutorial papers, ...
Added: June 18, 2026
Poddiakov A., Троицкий вариант. Наука 2026 № 12 С. 24–25
В научно-популярной заметке представлен обзор содержания поста филдсовского медалиста Тимоти Гауэрса о возможностях ИИ в математике и содержания комментариев под постом. Обзор сделан в основном чат-ботом DeepSeek. В заключение обсуждается возможность не только решения задач искусственным интеллектом, но и их постановки. ...
Added: June 18, 2026
Garzón J., Mora Rodríguez J., Moreno-Franco H. A., Applied Mathematics and Optimization 2026 Vol. 94 No. 10 P. 1–43
We study an optimal extraction problem where the agent’s actions in the spot market exert an additive proportional negative impact on the commodity price. The commodity price dynamics, prior to any activity by the agent, evolve according to a drifted Brownian motion with jumps. The agent’s primary aim is to identify an optimal extraction strategy ...
Added: June 17, 2026
Nesterov A. S., Журнал Новой экономической ассоциации 2026
В этой статье рассматривается целевой приём в вузы в России с точки зрения науки об устройстве рынков сочетания и экономических механизмов (matching market and mechanism design), ключевого направления современной теории игр. Мы изучаем механизм целевого приёма -- набор правил, по которым устраивается трёхстороннее сочетание между абитуриентом, заказчиком и образовательной программой. Используемый в России механизм имеет ...
Added: June 16, 2026
Петракова А. В., Otstavnov N., Romanenko K., В кн.: Герценовские чтения: психологические исследования в образованииВып. 6.: СПб.: Российский государственный педагогический университет им. А.И. Герцена, 2023. С. 432–438.
The education system has been striving not only to ensure that students acquire specific knowledge and skills, but also to develop them as well -rounded personalities and support their subjective well-being during studying. In this regard, when making decisions about the use of innovations in education, the trend is to embrace the results of empirical ...
Added: December 11, 2025
Levin I., Semenov A., Gorsky M., Education Sciences 2025 Vol. 15 No. 1 Article 45
This article explores the evolution of constructionism as an educational framework, tracing its relevance and transformation across three pivotal eras: the advent of personal computing, the networked society, and the current era of generative AI. Rooted in Seymour Papert’s constructionist philosophy, this study examines how constructionist principles align with the expanding role of digital technology ...
Added: December 6, 2025
Goryachko V. V., Bubnova A. S., Rayevskiia E. V. et al., Doklady Mathematics 2022 Vol. 106 No. 1 P. S113–S117
The general problem of creating and using encyclopedic knowledge in the digital civilization is considered. The creation and use of a digital encyclopedia are an example of intellectual activities of a collective expanded personality. The basic principles concerning the creation and functioning the “Digital ark of knowledge” at Lomonosov Moscow State University are described in ...
Added: March 26, 2023
Kolygina D., Kapuza A., Мониторинг общественного мнения: Экономические и социальные перемены 2020 № 4 С. 424–444
Many studies of information and communication technologies (ICT) in education show that in order to successfully apply them it is important to take into account the characteristics of the key agents in education – teachers. The work examines the relationships between individual characteristics of primary school teachers, in particular, their resistance to change, and their ...
Added: September 9, 2020
Son Z., Чжин С., В кн.: Материалы VIII Международной корееведческой конференции ДВФУ, Влади-восток, 17–18 мая 2019 г.: Владивосток: Дальневосточный федеральный университет, 2019. С. 71–81.
For the first time, a review of Korean-language literature published in the Soviet Far East has been presented in Russian and foreign historiography. A diverse and wide range of books has a scientific analysis as historical sources on the development of the Korean language, culture and education of Korean migrants in the territory of the USSR ...
Added: December 11, 2019
Koroleva D., Kochervey A. I., Насонова (Арно) К. М. et al., Russian Education and Society 2016 Vol. 58 No. 12 P. 816–827
he gaming culture of modern childhood takes place not only in real space, but in a virtual one too. These two components (two planes of development) are often viewed in isolation from one another. This study investigates the completely new phenomenon of augmented reality gaming through the lens of Pokemon Go, and it describes how ...
Added: January 29, 2018
Zharova A. K., Elin V., , in: Strategic Innovative Marketing. 4th IC-SIM, Mykonos, Greece 2015.: Switzerland: Springer, 2017. P. 615–623.
In our research, questions about the legitimacy of using information that was posted publicly explored the features of the use of open licenses and other agreements for the to provide open content for e-learning in Russia. It was shown that the universities (in Germany, Russia, the United Kingdom, the United States, and France) considered the ...
Added: February 27, 2017
Grebnev L., Высшее образование в России 2016 № 10 С. 79–92
The article is the commentary to the report of O.A. Reshetnikova, the director of the Federal Institute of Educational Measuring Materials, named “Assessment Materials for State Final Attestation. Specifics and ways of development” represented on scientific
research seminar “Measuring in social sciences” 20.05.2016. The article also includes suggestions for increasing efficiency of measuring and evaluation procedures ...
Added: October 21, 2016