Education, Scientific Degrees, Academic Ranks
2007
Bachelor of Mathematics. Taras Shevchenko National University of Kyiv, Faculty of Mechanics and Mathematics.
2009
Master of Mathematics. Taras Shevchenko National University of Kyiv, Faculty of Mechanics and Mathematics.
2009 - 2012
PhD Student, Taras Shevchenko National University of Kyiv, Faculty of Mechanics and Mathematics.
2013
PhD in Physics and Mathematics, 01.01.03 – Mathematical Physics. Institute of Mathematics of the National Academy of Sciences of Ukraine. Thesis: "Kinetic Equations of Hard Sphere Systems and Properties of Their Solutions".
Since 2024
Doctoral Student (Doctor of Sciences), Institute of Mathematics of the National Academy of Sciences of Ukraine.
Educational Work
• Teaches courses in "Discrete Mathematics" and "Computer Architecture and Operating Systems" for undergraduate students at the Department of Applied Mathematics, Lviv Polytechnic National University.
• Has published a number of study guides.
Research interests include the theory of kinetic equations, specifically the Boltzmann, Enskog, and Fokker–Planck equations, as well as kinetic equations for quantum systems, quantum information, and quantum computing.
Projects, Grants, Participation in Research Works
Since 2025
Grant «SFI-PD-Ukraine-00014586» by the Simons Foundation
Awards and Honors
• Laureate of the President of Ukraine’s Prize for Young Scientists (2014);
• Letter of Commendation from the Rector of Taras Shevchenko National University of Kyiv (2019).
Main Scientific Publications
1. Gapyak I.V., Gerasimenko V.I. Hard sphere dynamics and the Enskog equation, Kinetic and Related Models. – 2012. – Vol. 5, no. 3. – P. 459-484. DOI:10.3934/krm.2012.5.459
2. Gerasimenko V.I., Gapyak I.V. Low-density asymptotic behavior of observables of hard sphere fluids // Advances in Mathematical Physics. – 2018. . – V.2018. – 17 p.
3. Gerasimenko V.I., Gapyak I.V. Boltzmann–Grad asymptotic behavior of collisional dynamics // Reviews in Mathematical Physics. – 2021. – V. 33, №2. – 32 p.
4. Gerasimenko V.I., Gapyak I.V. Propagation of correlations in a рard-sphere system // Journal of Statistical Physics. – 2022. – 189 №1. – pp. 1-24.
5. Gerasimenko V.I., Gapyak I.V. Non-perturbative solution of the dual BBGKY hierarchy of hard-sphere fluids // Reports of NAS of Ukraine. – 2023. №4. – pp. 3-10.
6. Gapyak I.V., Gerasimenko V.I. Advances in theory of evolution equations of many colliding particle. Chapter In: Modern Problems of Mathematics and its Applications. v. III. Kyiv: IM, 2023, pp. 729-804. ISSN: 1815-2910. DOI:10.3842/trim.v20n1.528
7. Gapyak I.V. Towards the problem of propagation of correlations in open systems // Conference Proceedings. US-Ukraine Quantum Forum 2023. – pp. 8-11.
8. Gerasimenko V., Gapyak I. Non-perturbative solutions of hierarchies of evolution equations for colliding particles // AIP Advances. – 2024. – V. 14. – 10 p.
9. Gerasimenko V., Gapyak I. Recent Advances in the Theory of Kinetic Equations of Many Colliding Particles // Mathematics and Computer Science: Research Updates Vol. 2, – 2025, P. 142-163.
Main Books, Monographs, Educational and Methodical works
Gapyak I.V., Dovhyi B.P., Vakal Ye.S., Loveikin A.V. (2021). Guidelines for Using Mathematical Packages for Numerical and Analytical Problem Solving. Kyiv. 135 p.
Dovhyi, B.P., Gapyak I.V., Vakal Ye.S., Obvintsev O.V. (2022). Numerical Methods: A Study Guide for Extramural Students of the Faculty of Mechanics and Mathematics. Kyiv. 178 p.
Obvintsev O.V., Krenevych A.P., Dovhyi B.P., Borodin V.A., Gapyak I.V. (2022). Programming Problems: Python Programming Language. Study Guide. Kyiv. 178 p.
Gapyak I.V., Dovhyi B.P. (2025). Educational and Methodological Manual for the Course "Programming". Kyiv. 127 p.
Hobbies
Hiking, mountain skiing, and rafting.