Ratushniak Sofiia
Education
2017–2021 – Doctor of Philosophy (PhD) in Mathematics (Specialty 111 – Mathematics), Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv
2015–2017 – Master’s Degree in Mathematics, Mathematician, Lecturer in Mathematics, Teacher of Physics and Computer Science (Diploma with Honors, 2017), National Pedagogical Dragomanov University, Kyiv
2011–2015 – Bachelor’s Degree in Mathematics, Teacher of Mathematics (Diploma with Honors, 2015), National Pedagogical Dragomanov University, Kyiv
2015–2017 – Master’s Degree in Mathematics, Mathematician, Lecturer in Mathematics, Teacher of Physics and Computer Science (Diploma with Honors, 2017), National Pedagogical Dragomanov University, Kyiv
2011–2015 – Bachelor’s Degree in Mathematics, Teacher of Mathematics (Diploma with Honors, 2015), National Pedagogical Dragomanov University, Kyiv
Dissertations
Fractal Functions and the Distributions of Their Values, PhD Dissertation in Mathematics (Specialty 111 – Mathematics)
Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, 2021
Scientific Advisor: Dr. Sci. (Phys.-Math.), Prof. M. V. Pratsovytyi
Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, 2021
Scientific Advisor: Dr. Sci. (Phys.-Math.), Prof. M. V. Pratsovytyi
Research interests
Fractal functions, distributions of fractal function values, metric and probabilistic theory of real number encoding
Experience
2025 – present – Research Fellow, Department of Dynamical Systems and Fractal Analysis, Institute of Mathematics of the National Academy of Sciences of Ukraine
2022 – present – Associate Professor, Department of Higher Mathematics, Ukrainian State University named after Mykhailo Drahomanov
2021 – 2024 – Junior Research Fellow, Department of Dynamical Systems and Fractal Analysis, Institute of Mathematics of the National Academy of Sciences of Ukraine
2018 – 2021 – Senior Lecturer, Department of Higher Mathematics, National Pedagogical Dragomanov University
2022 – present – Associate Professor, Department of Higher Mathematics, Ukrainian State University named after Mykhailo Drahomanov
2021 – 2024 – Junior Research Fellow, Department of Dynamical Systems and Fractal Analysis, Institute of Mathematics of the National Academy of Sciences of Ukraine
2018 – 2021 – Senior Lecturer, Department of Higher Mathematics, National Pedagogical Dragomanov University
Talks on conferences
Selected talks
XIX International Scientific Mykhailo Kravchuk Conference (Kyiv, Ukraine, October 11–12, 2023, online)
$A_3$-continued fractions and the theory of locally complicated functions with fractal properties (with M. V. Pratsiovytyi)
program, linkabstract (pp. 118–119)
International Scientific Conference “Mathematics and Information Technologies” (Chernivtsi, Ukraine, September 28–30, 2023)
Continuous nowhere monotonic function defined in terms of the continued fraction representation of numbers (with Mykola Pratsiovytyi)
program, abstract (p. 293)
On growth rate of denominators of convergents for $A_2$-continued fractions (with Mykola Pratsiovytyi, Yanina Goncharenko, and Iryna Lysenko) at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022 (in Ukrainian). Abstracts
Distributions of random variables with independent $Q_2$-digits having nontrivial densities (with M. V. Pratsiovytyi) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts
XIX International Scientific Mykhailo Kravchuk Conference (Kyiv, Ukraine, October 11–12, 2023, online)
$A_3$-continued fractions and the theory of locally complicated functions with fractal properties (with M. V. Pratsiovytyi)
program, linkabstract (pp. 118–119)
International Scientific Conference “Mathematics and Information Technologies” (Chernivtsi, Ukraine, September 28–30, 2023)
Continuous nowhere monotonic function defined in terms of the continued fraction representation of numbers (with Mykola Pratsiovytyi)
program, abstract (p. 293)
On growth rate of denominators of convergents for $A_2$-continued fractions (with Mykola Pratsiovytyi, Yanina Goncharenko, and Iryna Lysenko) at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022 (in Ukrainian). Abstracts
Distributions of random variables with independent $Q_2$-digits having nontrivial densities (with M. V. Pratsiovytyi) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts