Petrov Yevhen Viacheslavovych
Candidate of Physical and Mathematical Sciences in specialty 01.01.04 – geometry and topology, Associate Professor of the Department of Fundamental Mathematics
Academic Biography
- Bachelor of Mathematics (V.N. Karazin Kharkiv National University, 2004)
- Master of Mathematics (V.N. Karazin Kharkiv National University, 2005)
- Candidate of Physical and Mathematical Sciences (Dissertation «Geometry of submanifolds in nilpotent Lie groups and Lie groups with bi-invariant metric», defended in 2008)
Research Interests
- Invariant differential geometry of Lie groups and homogeneous spaces
- Differential geometry of submanifolds, in particular, minimal and with parallel mean curvature vector field
- Sub-Riemannian geometry
Links to pages on academic networks:
- Scopus: https://www.scopus.com/authid/detail.uri?authorId=37111422900
- WoS: https://www.webofscience.com/wos/author/record/PNF-6220-2026
- ResearchGate: https://www.researchgate.net/profile/Eugene-Petrov-3
- Google Scholar: https://scholar.google.com/citations?hl=uk&user=7TCJ_NwAAAAJ
- ORCID: https://orcid.org/0000-0003-2340-5038
Teaching Experience
- Analytical Geometry
- Topology
- Differential geometry
- Differential geometry of manifolds
- Analysis on manifolds
- Geometry of submanifolds
- Geometry of Lie groups
- Lie groups and homogeneous spaces
- Основи алгебраїчної топології
- Теорія гомологій і топологічний аналіз даних
- Теорія Морса
- Символьні обчислення
- Machine Learning: Theory and algorithms I
Selected Scientific Publications
- Havrylenko, E. Petrov. Stability of vertical minimal surfaces in three-dimensional sub-Riemannian manifolds, Proceedings of the International Geometry Center, Vol. 18 (2025), no. 2, p. 159-182. https://doi.org/10.15673/pigc.v18i2.3009
- Gavrilenko, E. Petrov, “Stability of Minimal Surfaces in the Subliman Manner E(2),” Bulletin of V.N. Karazin Kharkiv National University, Series “Mathematics, Applied Mathematics, and Mechanics,” vol. 98 (2023), pp. 50–67. https://doi.org/10.26565/2221-5646-2023-98-04
- Petrov, The Gauss map of submanifolds in the Heisenberg group, Differential Geom. Appl., Vol. 29 (2011), p. 516–532. https://doi.org/10.1016/j.difgeo.2011.04.036
- Petrov, Submanifolds with the harmonic Gauss map in Lie groups, J. Math. Phys. Anal. Geom., Vol. 4 (2008), no. 2., p. 278-293. https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/jm04-0278e
- Petrov, The Gauss map of hypersurfaces in 2-step nilpotent Lie groups, J. Math. Phys. Anal. Geom., Vol. 2 (2006), no. 2., p. 186-206. https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/jm02-0186e
Selected Conferences
Research Visits and Professional Development
- Odessa National Technological University, conference participation, certificates, June 1, 2023, May 30, 2024, May 29, 2025 (60 hours).
- V.N. Karazin Kharkiv National University, Department of Applied Mathematics, certificate, December 30, 2022 (120 hours).
