Singular diffusions: an analytic and stochastic approaches
The main objective of the project is to develop new methods for studying equations with singularities. Joint research by partner institutions on this topic is also planned.
Role: Leader
Oleksandra Antoniouk
Prof. Dr., leading researcher
Description of the field of scientific research:
Oleksandra investigates the nonlinear theory of partial differential equations in the function spaces of p-adic argument, the connection between the theory of such operators and stochastic differential equations over locally compact groups.
She is a specialist in the field of differential equations in partial derivatives of a finite and infinite number of variables. Its principal activities concern the evolutionary behavior of systems describing models of statistical mechanics with an infinite number of interacting particles, various types of nonlinear differential equations of a finite number of variables, including diffusion equations on noncompact Riemannian manifolds and porous medium equations, and dynamical systems stochastic flows on manifolds and analysis of discrete time series. She was a leader of the Ukrainian part of several EU projects, in particular, FP-7 Marie Curie Actions IRES “EU-Ukrainian Mathematicians for Life Sciences” (2012-2016), Horizon-2020 “Approximation Methods for Molecular Modelling and Diagnosis Tools” (2016-2019) and was a head organizer of different international multidisciplinary conferences among them: "Mathematics for Life Sciences" (2012-2017), KAU Data Science School (2018-2021).
Within the scope of public activities, she takes care of issues of creating conditions for the introduction of scientific developments of scientists of the National Academy of Sciences of Ukraine into the real sector of the economy, researches the best global practices of overcoming the problem of the "valley of death" in innovative activities and tries to adapt the best experience to Ukrainian realities, which should create a basis for construction in Ukraine innovative economy (knowledge-based economy).
List of duties:
Oleksandra works at the Institute of Mathematics of the National Academy of Sciences of Ukraine. She deals with analys of pseudo-differential operators on functions of the p-adic argument.
In addition, he is the deputy director for development and innovation at the State Research Institution "Kyiv Academic University" of the NASU, where she leads the project "Academ.City", the purpose of which is to create conditions for the cooperation of science and business in Ukraine and the development of the open innovation ecosystem of the National Academy of Sciences. This pilot project is based on 12 scientific institutes of the National Academy of Sciences of Ukraine, located in the Akademmistechko neighborhood of Kyiv.
Prof. Dr. Antoniouk is a Fellow of Alexander von Humboldt Foundation, received different research and social activity awards, including the 2015 AvH award "Innovation Networking Initiative", National Academy of Science of Ukraine Honors "For Professional Achievements" (2020), Diploma of the Verkhovna Rada of Ukraine "For services to the Ukrainian people" (2021).
Professional experience:
From 1994 to 2016, Oleksandra grew from junior to senior at the Institute of Mathematics of the National Academy of Sciences of Ukraine. From 2016 to 2020, she was the institute's deputy director for scientific work. Since 2020 she has been a leading researcher at the Institute of Mathematics of the National Academy of Sciences of Ukraine.
In addition, since 2001, Oleksandra has been a member of the Ukrainian Mathematical Society. Since 2013 she has been a member of the editorial board of the Ukrainian Mathematical Journal and president of the Humboldt Club public organization, since 2017 she has been a member of the Working Group of the Ministry of Education and Science of Ukraine on the preparation of the Roadmap for the integration of Ukraine into the European Research Area, Kyiv, Ukraine.
Since 2021, she has been an expert at the Executive Research Agency of the European Union and a reviewer in the journal Dynamical Systems. From 2022, she is also a reviewer in the Journal of Mathematical Analysis and Applications.