{"id":3949,"date":"2026-03-08T20:43:45","date_gmt":"2026-03-08T17:43:45","guid":{"rendered":"https:\/\/math.karazin.ua\/?page_id=3949"},"modified":"2026-03-12T22:45:32","modified_gmt":"2026-03-12T19:45:32","slug":"yampolsky-o-l","status":"publish","type":"page","link":"https:\/\/math.karazin.ua\/en\/yampolsky-o-l\/","title":{"rendered":"Scientific and pedagogical staff"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"3949\" class=\"elementor elementor-3949\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9aa745c e-flex e-con-boxed e-con e-parent\" data-id=\"9aa745c\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ec27dbc elementor-position-left elementor-vertical-align-middle elementor-widget elementor-widget-image-box\" data-id=\"ec27dbc\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t\t<div class=\"elementor-image-box-wrapper\"><figure class=\"elementor-image-box-img\"><img fetchpriority=\"high\" decoding=\"async\" width=\"487\" height=\"617\" src=\"https:\/\/math.karazin.ua\/wp-content\/uploads\/2026\/03\/\u0417\u043d\u0456\u043c\u043e\u043a-\u0435\u043a\u0440\u0430\u043d\u0430-2026-03-08-\u043e-19.40.38.png\" class=\"attachment-full size-full wp-image-3952\" alt=\"\" srcset=\"https:\/\/math.karazin.ua\/wp-content\/uploads\/2026\/03\/\u0417\u043d\u0456\u043c\u043e\u043a-\u0435\u043a\u0440\u0430\u043d\u0430-2026-03-08-\u043e-19.40.38.png 487w, https:\/\/math.karazin.ua\/wp-content\/uploads\/2026\/03\/\u0417\u043d\u0456\u043c\u043e\u043a-\u0435\u043a\u0440\u0430\u043d\u0430-2026-03-08-\u043e-19.40.38-237x300.png 237w\" sizes=\"(max-width: 487px) 100vw, 487px\" \/><\/figure><div class=\"elementor-image-box-content\"><h3 class=\"elementor-image-box-title\">Yampolskyi Oleksandr Leonidovych<\/h3><p class=\"elementor-image-box-description\">Doctor of Physical and Mathematical Sciences in the specialty \u00abGeometry and Topology\u00bb, Professor at the Department of Fundamental Mathematics<\/p><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-df7c9fc e-flex e-con-boxed e-con e-parent\" data-id=\"df7c9fc\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e958001 elementor-widget elementor-widget-n-accordion\" data-id=\"e958001\" data-element_type=\"widget\" data-settings=\"{&quot;default_state&quot;:&quot;all_collapsed&quot;,&quot;max_items_expended&quot;:&quot;one&quot;,&quot;n_accordion_animation_duration&quot;:{&quot;unit&quot;:&quot;ms&quot;,&quot;size&quot;:400,&quot;sizes&quot;:[]}}\" data-widget_type=\"nested-accordion.default\">\n\t\t\t\t\t\t\t<div class=\"e-n-accordion\" aria-label=\"Accordion. Open links with Enter or Space, close with Escape, and navigate with Arrow Keys\">\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2440\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"1\" tabindex=\"0\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2440\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Academic Biography <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2440\" class=\"elementor-element elementor-element-5ce9834 e-flex e-con-boxed e-con e-child\" data-id=\"5ce9834\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-add21d7 elementor-widget elementor-widget-text-editor\" data-id=\"add21d7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ul><li><span style=\"font-weight: 400;\">2021: Awarded academic title: <\/span><b>Professor<\/b><span style=\"font-weight: 400;\"> at the Department of Fundamental Mathematics.<\/span><\/li><li>2015: Obtained scientific degree: <b>Doctor of Physical and Mathematical Sciences<\/b><span>. Dissertation: \u00abGeometry of Submanifolds in Fibered Spaces\u00bb.<\/span><\/li><li>1991: Awarded academic title: <b>Associate Professor<\/b><span> at the Department of Geometry.<\/span><\/li><li class=\"translation-block\">1986: Awarded the academic degree of <b>Candidate of Physical and Mathematical Sciences<\/b><span>, Odessa State University (Ukraine).   Dissertation: \u201cOn the Sasaki Metric of Tangent and Normal Stratifications.\u201d<\/span><\/li><li>1982 \u2013 1986: <b>Postgraduate student<\/b><span> of the Faculty of Mechanics and Mathematics of Kharkiv National University, Kharkiv, Ukraine.<\/span><\/li><li class=\"translation-block\">1978: Earned a <b>Master\u2019s degree in Mathematics<\/b><span> (equivalent), Kharkiv National University.<\/span><\/li><li class=\"translation-block\">1973\u20131978: <b>Student<\/b><span> at the Faculty of Mechanics and Mathematics, Kharkiv National University, Kharkiv.<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2441\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"2\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2441\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Professional Experience <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2441\" class=\"elementor-element elementor-element-1517070 e-flex e-con-boxed e-con e-child\" data-id=\"1517070\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4578f72 elementor-widget elementor-widget-text-editor\" data-id=\"4578f72\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Total length of service in teaching positions: 40 years<\/span><\/p><p><span style=\"font-weight: 400;\">2022\u2013present: Professor, Department of Fundamental Mathematics, School of Mathematics and Computer Science, V.N. Karazin Kharkiv National University, Kharkiv, Ukraine<\/span><\/p><p><span style=\"font-weight: 400;\">2023: Instructor for the MATH 119 course \u201cMathematical Analysis 2,\u201d University of Waterloo, Waterloo, Ontario, Canada.<\/span><\/p><p><span style=\"font-weight: 400;\">2022\u20132023: Visiting Researcher in the Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada.<\/span><\/p><p><span style=\"font-weight: 400;\">2016\u20132022: Chair of the Department of Fundamental Mathematics, School of Mathematics and Computer Science, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine.<\/span><\/p><p><span style=\"font-weight: 400;\">2014\u20132015: Chair of the Department of Geometry, Faculty of Mechanics and Mathematics, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine.<\/span><\/p><p><span style=\"font-weight: 400;\">2021: Professor in the Department of Fundamental Mathematics, School of Mathematics and Computer Science, Kharkiv National University, Kharkiv, Ukraine.<\/span><\/p><p><span style=\"font-weight: 400;\">2015: Doctor of Physical and Mathematical Sciences. Dissertation: \u201cThe Geometry of Subvarieties in Layered Spaces.\u201d Faculty of Theoretical Physics and Mathematics, National Academy of Sciences of Ukraine.<\/span><\/p><p><span style=\"font-weight: 400;\">1991: Associate Professor in the Department of Geometry.<\/span><\/p><p><span style=\"font-weight: 400;\">1986\u20131986: Assistant in the Department of Geometry, Faculty of Mechanics and Mathematics, Kharkiv National University, Kharkiv, Ukraine.<\/span><\/p><p><span style=\"font-weight: 400;\">1986: Candidate of Physical and Mathematical Sciences, Odessa State University (Ukraine). Dissertation: \u201cOn the Sasaki Metric of Tangent and Normal Stratifications.\u201d<\/span><\/p><p><span style=\"font-weight: 400;\">1982\u20131986: Graduate student in the Department of Geometry, Kharkiv National University, Kharkiv, Ukraine.<\/span><\/p><p><span style=\"font-weight: 400;\">1973\u20131978: Studied at the Faculty of Mechanics and Mathematics, Kharkiv National University, Kharkiv, Ukraine.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2442\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"3\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2442\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Research Interests <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2442\" class=\"elementor-element elementor-element-48ce65d e-con-full e-flex e-con e-child\" data-id=\"48ce65d\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b516042 elementor-widget elementor-widget-text-editor\" data-id=\"b516042\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ul><li dir=\"ltr\" role=\"presentation\"><span style=\"font-weight: 400;\">Differential geometry<\/span><\/li><li dir=\"ltr\" role=\"presentation\"><span style=\"font-weight: 400;\">Riemannian geometry<\/span><\/li><li dir=\"ltr\" role=\"presentation\"><span style=\"font-weight: 400;\">Delamination<\/span><\/li><li dir=\"ltr\" role=\"presentation\"><span style=\"font-weight: 400;\">Applications of Computer Mathematics<\/span><\/li><\/ul><h4 dir=\"ltr\" role=\"presentation\">Links to pages on academic networks:<\/h4><ul><li><span style=\"font-weight: 400;\">Scopus:\u00a0 <\/span><a href=\"http:\/\/www.scopus.com\/inward\/authorDetails.url?authorID=6507412115&amp;partnerID=MN8TOARS\"><span style=\"font-weight: 400;\">Scopus Author ID: 6507412115<\/span><\/a><span style=\"font-weight: 400;\">\u00a0 Documents 19, citations 53 by 43 documents, h-index =5<\/span><\/li><li><span style=\"font-weight: 400;\">WoS: PCT-3394-2025<\/span><\/li><li><span style=\"font-weight: 400;\">ResearchGate:\u00a0 <\/span><a href=\"https:\/\/www.researchgate.net\/profile\/Alexander-Yampolsky?ev=hdr_xprf\"><span style=\"font-weight: 400;\">https:\/\/www.researchgate.net\/profile\/Alexander-Yampolsky?ev=hdr_xprf<\/span><\/a><\/li><li><span style=\"font-weight: 400;\">Google Scholar: <\/span><a href=\"https:\/\/scholar.google.com.ua\/citations?user=xSFdmaUAAAAJ&amp;hl=ru\"><span style=\"font-weight: 400;\">https:\/\/scholar.google.com.ua\/citations?user=xSFdmaUAAAAJ&amp;hl=ru<\/span><\/a><\/li><li><span style=\"font-weight: 400;\">ORCID: <\/span><a href=\"https:\/\/orcid.org\/0000-0002-7215-3669\"><span style=\"font-weight: 400;\">https:\/\/orcid.org\/0000-0002-7215-3669<\/span><\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2443\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"4\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2443\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Teaching Experience <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2443\" class=\"elementor-element elementor-element-ba98f62 e-con-full e-flex e-con e-child\" data-id=\"ba98f62\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7a4ff2e elementor-widget elementor-widget-text-editor\" data-id=\"7a4ff2e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<h4><b>Lecture courses for bachelor's students<\/b><\/h4><ul><li><span style=\"font-weight: 400;\">Analytical Geometry: 9 credits (270 hours)<\/span><\/li><li><span style=\"font-weight: 400;\">Differential Geometry: 8 credits (240 hours)<\/span><\/li><li><span style=\"font-weight: 400;\">Classical Problems in Geometry \u201cin General\u201d: 4 credits (120 hours)<\/span><\/li><li><span style=\"font-weight: 400;\">Symbolic Computation and Modeling: 5 credits (150 hours)<\/span><\/li><li><span style=\"font-weight: 400;\">Practical Exercises in Analytic and Differential Geometry<\/span><\/li><\/ul><h4><b>Lecture courses for master's students:<\/b><\/h4><ul><li><span style=\"font-weight: 400;\">Geometry of Layered Spaces: 4 credits (120 hours)<\/span><\/li><li><span style=\"font-weight: 400;\">Fundamentals of Scientific Research: 3 credits (90 hours)<\/span><\/li><\/ul><h4><b>Lecture courses for postgraduate students<\/b><span style=\"font-weight: 400;\">:<\/span><\/h4><ul><li><span style=\"font-weight: 400;\">Modern methods of obtaining and presenting research results in mathematics: 5 credits (150 hours)<\/span><\/li><\/ul><h4><b>Supervision of postgraduate students:<\/b><\/h4><ul><li><span style=\"font-weight: 400;\">Lotarets L.A. (defense 2025)<\/span><\/li><li><span style=\"font-weight: 400;\">Shuhailo O.O. (defended, 2015)<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2444\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"5\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2444\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Selected Scientific Publications <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2444\" class=\"elementor-element elementor-element-58800cd e-flex e-con-boxed e-con e-child\" data-id=\"58800cd\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0bcd613 elementor-widget elementor-widget-text-editor\" data-id=\"0bcd613\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ol><li><b>Yampolsky A.\u00a0 <\/b><i><span style=\"font-weight: 400;\">Minimal unit vector fields on oscillator groups.<\/span><\/i><b> Book series \u201cSpringer Proceedings in Mathematics &amp; Statistics\u201d, \u201cDifferential Geometric Structures and Applications\u201d. 4th International Workshop on Differential Geometry, Haifa, Israel, May 10 \u2013 13, 2023, Haifa, Israel<\/b><span style=\"font-weight: 400;\">. <\/span><b>P. 117-133<\/b><span style=\"font-weight: 400;\">. <\/span><a href=\"https:\/\/doi.org\/10.1007\/978-3-031-50586-7\"><span style=\"font-weight: 400;\">https:\/\/doi.org\/10.1007\/978-3-031-50586-7<\/span><\/a><b><\/b><\/li><li><b>Yampolsky A.<\/b><span style=\"font-weight: 400;\">\u00a0 <\/span><i><span style=\"font-weight: 400;\">On properties of the Reeb vector field of <\/span><\/i><i><span style=\"font-weight: 400;\">trans-Sasakian structure<\/span><\/i><b>. Turkish Journal of Mathematics, 2022, Vol. 46: No. 6, Article 19. <\/b><a href=\"https:\/\/doi.org\/10.55730\/1300-0098.3271\"><span style=\"font-weight: 400;\">https:\/\/doi.org\/10.55730\/1300-0098.3271<\/span><\/a><\/li><li><b>Yampolsky A.<\/b><span style=\"font-weight: 400;\">\u00a0 <\/span><i><span style=\"font-weight: 400;\">On Projective Classification of Points of a Submanifold in the Euclidean Space.<\/span><\/i> <b>Journal of Mathematical Physics, Analysis, Geometry. 2020. V. 16, \u2116 3, P. 364\u2013371.<\/b><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">. Catacaustics of a hypersurface in the Euclidean n-space. <\/span><b>Mediterranean Journal of Mathematics<\/b><span style=\"font-weight: 400;\">, (2019) 16: 88. <\/span><a href=\"https:\/\/doi.org\/10.1007\/s00009-019-1365-3\"><span style=\"font-weight: 400;\">https:\/\/doi.org\/10.1007\/s00009-019-1365-3<\/span><\/a><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">., Opariy A. <\/span><i><span style=\"font-weight: 400;\">Generalized helices in three-dimensional Lie groups<\/span><\/i><span style=\"font-weight: 400;\">, <\/span><b>Turkish Journal of Mathematics <\/b><span style=\"font-weight: 400;\">(2019) 43: 1447 \u2013 1455. <\/span><a href=\"http:\/\/journals.tubitak.gov.tr\/math\/\"><span style=\"font-weight: 400;\">http:\/\/journals.tubitak.gov.tr\/math\/<\/span><\/a><\/li><li><b>Yampolsky A.,<\/b><span style=\"font-weight: 400;\"> Fursenko O. <\/span><i><span style=\"font-weight: 400;\">Caustics of wave fronts reflected by a surface<\/span><\/i><span style=\"font-weight: 400;\">, <\/span><b>Journal of Mathematical Sciences and Modeling<\/b><span style=\"font-weight: 400;\">,\u00a0 2018, V 1 , Issue 2, Pages 131 \u2013 137.\u00a0 https:\/\/doi.org\/10.33187\/jmsm.431543<\/span><\/li><li><b>Y<\/b><b>ampolsky A.<\/b> <i><span style=\"font-weight: 400;\">Eikonal Hypersurfaces in the Euclidean n-Space<\/span><\/i><span style=\"font-weight: 400;\">\u00a0. <\/span><b>Mediterranean Journal of Mathematics<\/b><span style=\"font-weight: 400;\">, 2017, 14: 160<\/span><span style=\"font-weight: 400;\">. <\/span><a href=\"https:\/\/doi.org\/10.1007\/s00009-017-0965\"><span style=\"font-weight: 400;\">https:\/\/doi.org\/10.1007\/s00009-017-0965<\/span><\/a><\/li><li><b>Yampolsky A.<\/b> <i><span style=\"font-weight: 400;\">On stability of totally geodesic unit vector fields on three-dimensional Lie groups<\/span><\/i><span style=\"font-weight: 400;\">. <\/span><b>Geometry and its Applications. Springer <\/b><b>Proceedings in Mathematics &amp; Statistics.<\/b><span style=\"font-weight: 400;\"> -2014. -Vol. 72. -P. 167 \u2013\u00a0 195<\/span><\/li><li class=\"translation-block\"><b>Yampolsky, A<\/b><span style=\"font-weight: 400\">. <\/span><i><span style=\"font-weight: 400\">Minimal and Fully Geodesic Cross-Sections of Single-Sphere Bundles<\/span><\/i><span style=\"font-weight: 400\">.  <\/span><b>Bulletin of Kharkiv National University, Series: Applied Mathematics and Mechanics<\/b><span style=\"font-weight: 400\">, 1030 (2012), 54\u201370.<\/span><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">.\u00a0 <\/span><i><span style=\"font-weight: 400;\">On geodesics of tangent bundle with fiberwise deformed Sasaki metric over Kahlerian manifold<\/span><\/i><span style=\"font-weight: 400;\">. \u00a0 <\/span><b>Journal of Math. Phys., Analysis,\u00a0 Geom.\u00a0 <\/b><span style=\"font-weight: 400;\">8\/2 (2012),\u00a0 p. 177 \u2013 189<\/span><b>.<\/b><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">. <\/span><i><span style=\"font-weight: 400;\">Totally geodesic vector fields on pseudo-Riemannian manifolds<\/span><\/i><span style=\"font-weight: 400;\">. <\/span><b>Bulletin of V.N. Karazin Kharkiv National University, Series: Mathematics, Applied Mathematics, Mechanics<\/b><span style=\"font-weight: 400;\">.\u00a0 990 (2011), 4 \u2013 14<\/span><\/li><li><b>Yampolsky A.<\/b><span style=\"font-weight: 400;\">\u00a0 <\/span><i><span style=\"font-weight: 400;\">Invariant totally geodesic unit vector fields on three-dimensional Lie groups.<\/span><\/i><span style=\"font-weight: 400;\">\u00a0 <\/span><b>Journal of Math. Phys., Analysis,\u00a0 Geom<\/b><span style=\"font-weight: 400;\">.\u00a0 3\/2 (2007),\u00a0 p. 253 \u2013 276.<\/span><\/li><li><b>Yampolsky A.<\/b> <i><span style=\"font-weight: 400;\">On special types of minimal and totally geodesic unit vector fields<\/span><\/i><span style=\"font-weight: 400;\">. <\/span><b>7-th International Conference on Geometry, Integrability and Quantization<\/b><span style=\"font-weight: 400;\">, June 2-10, Varna (Bulgaria), SOFTEX, Sofia, 2005, 290 \u2013 304<\/span><\/li><li><b>Yampolsky A.<\/b> <i><span style=\"font-weight: 400;\">Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold<\/span><\/i><b>.\u00a0 Mat. phys., analysis, geometry<\/b><span style=\"font-weight: 400;\">\u00a02005, 1\/1, 116 \u2013 139<\/span><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">. Totally geodesic unit vector fields on Riemannian\u00a0 manifold \/\/\u00a0 <\/span><b>Dop. Ukr.\u00a0 Acad Nauk<\/b><span style=\"font-weight: 400;\">\u00a0 2005,\u00a0 3, 32\u201335.<\/span><\/li><li><b>Yampolsky A.<\/b> <i><span style=\"font-weight: 400;\">Full description of totally geodesic unit vector field on Riemannian 2-manifold. <b>Mat. phys., analysis, geometry<\/b><\/span><\/i><span style=\"font-weight: 400;\">\u00a02004, 11\/3, 355-365.<\/span><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">., Saharova E. <\/span><i><span style=\"font-weight: 400;\">Powers of the space form curvature operator and geodesics of the tangent bundle. <\/span><\/i><b>\u00a0Ukr. Math. Journal<\/b><span style=\"font-weight: 400;\">\u00a0 2004, 56\/9,\u00a0 1231-1243.<\/span><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">. , Abbassi M.T.K. <\/span><i><span style=\"font-weight: 400;\">Transverse totally geodesic submanifolds of the tangent bundle.<\/span><\/i> <b>Publ. Math. Debrecen<\/b><span style=\"font-weight: 400;\">,\u00a0 64 \/1-2 (2004), 129-154<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Yampolsky A.<\/b> <i><span style=\"font-weight: 400;\">On extrinsic geometry of unit normal vector field of Riemannian hyperfoliation.<\/span><\/i> <b>Publ. Math. Debrecen<\/b><span style=\"font-weight: 400;\">., 63\/4 (2003),\u00a0 555-567.<\/span><\/li><li><b>Yampolsky A<\/b><span style=\"font-weight: 400;\">. <\/span><i><span style=\"font-weight: 400;\">Totally geodesic property of the Hopf vector field<\/span><\/i><b>. Acta \u00a0 Math. Hungar<\/b><span style=\"font-weight: 400;\">. \u00a0 101, 1-2 (2003), 73-92.<\/span><\/li><li><b>Yampolsky A<\/b><i><span style=\"font-weight: 400;\">. On the intrinsic geometry of a unit vector field<\/span><\/i><span style=\"font-weight: 400;\">. <\/span><b>Comment.\u00a0 Math. Univ.\u00a0 Carolinae<\/b><span style=\"font-weight: 400;\"> 43,\u00a0 2(2002), 299-317.<\/span><\/li><li><b>Yampolsky A.<\/b><span style=\"font-weight: 400;\"> On the mean curvature of a unit vector field.\/\/ <\/span><b>Publ. Math. Debrecen<\/b><span style=\"font-weight: 400;\">, 60(2002), 1\/2, 131-155.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Yampolsky A.L. <\/span><i><span style=\"font-weight: 400;\">On the vertical strong-sphericity index of Sasaki metric of tangent sphere bundle<\/span><\/i><b>. <i><span style=\"font-weight: 400;\">Mat. phys., analysis, geometry<\/span><\/i>, 1996<\/b><span style=\"font-weight: 400;\">, v.3, No 3\/4, p. 446-456.<\/span><\/li><li><b>Yampolsky A.L<\/b><span style=\"font-weight: 400;\">. <\/span><i><span style=\"font-weight: 400;\">On the totally geodesic vector fields on submanifold<\/span><\/i><span style=\"font-weight: 400;\">. <i><b>Mat. phys., analysis, geometry<\/b><\/i><\/span><b>, 1994<\/b><span style=\"font-weight: 400;\">, v.1,\u00a0 No 3\/4, pp. 540-545.<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2445\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"6\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2445\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Scientific and Methodological Publications <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2445\" class=\"elementor-element elementor-element-8e753c5 e-flex e-con-boxed e-con e-child\" data-id=\"8e753c5\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-faebcc5 elementor-widget elementor-widget-text-editor\" data-id=\"faebcc5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Yampolsky, O. Analytical Geometry: Theory and Applications. 350 pp. (2026)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u00a0Yampolsky, O. Differential Geometry: A Basic Lecture Course. 350 pp. (2024)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u00a0Yampolsky, O., Shugailo, O. Analytical Geometry: Canonical Curves and Surfaces of the Second Order. V. N. Karazin Kharkiv National University Press, 2021. 100 pp. (ISBN 978-699-285-692-7)\u00a0<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u00a0Yampolsky, O. Analytical Geometry. Curves and Surfaces of the Second Order: A General Theory. V. N. Karazin Kharkiv National University Press, 2021. 96 pp. (ISBN 978-966-285-691-0)\u00a0<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u00a0Yampolsky, O. Analytical Geometry: Vectors, Lines, and Planes. V. N. Karazin Kharkiv National University Press, 2020. 116 pp. (ISBN 978-966-285-650-7) (in Ukrainian)<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2446\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"7\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2446\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Selected Conferences <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2446\" class=\"elementor-element elementor-element-972188c e-flex e-con-boxed e-con e-child\" data-id=\"972188c\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-2447\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"8\" tabindex=\"-1\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-2447\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Research Visits and Professional Development <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-2447\" class=\"elementor-element elementor-element-390a6b5 e-flex e-con-boxed e-con e-child\" data-id=\"390a6b5\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-77730a5 elementor-widget elementor-widget-text-editor\" data-id=\"77730a5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">May 2022 \u2013 May 2023: University of Waterloo (Canada), visiting researcher.<\/span><\/p><p><span style=\"font-weight: 400;\">November 2021 \u2013 January 2022: Internship (professional development) at the University of Waterloo (Canada)<\/span><\/p><p><span style=\"font-weight: 400;\">May 2018: University of Murcia (Spain), Erasmus+ exchange program<\/span><\/p><p><span style=\"font-weight: 400;\">May 2017: University of Murcia (Spain), Erasmus+ exchange program<\/span><\/p><p><span style=\"font-weight: 400;\">January\u2013February 2017:   University of Waterloo (Canada), internship<\/span><\/p><p><span style=\"font-weight: 400;\">January\u2013May 2006: Visiting professor at Texas A&amp;M University (U.S.), teaching the course \u201cDifferential Equations Using MAPLE\u201d<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c809b5d elementor-widget elementor-widget-image-gallery\" data-id=\"c809b5d\" data-element_type=\"widget\" data-widget_type=\"image-gallery.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-image-gallery\">\n\t\t\t\n\t\t<style type=\"text\/css\">\n\t\t\t#gallery-1 {\n\t\t\t\tmargin: auto;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-item {\n\t\t\t\tfloat: left;\n\t\t\t\tmargin-top: 10px;\n\t\t\t\ttext-align: center;\n\t\t\t\twidth: 25%;\n\t\t\t}\n\t\t\t#gallery-1 img {\n\t\t\t\tborder: 2px solid 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\/>\n\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>\u042f\u043c\u043f\u043e\u043b\u044c\u0441\u044c\u043a\u0438\u0439 \u041e\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u041b\u0435\u043e\u043d\u0456\u0434\u043e\u0432\u0438\u0447 \u0434\u043e\u043a\u0442\u043e\u0440 \u0444\u0456\u0437\u0438\u043a\u043e-\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0438\u0445 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0438\u0445 \u043d\u0430\u0443\u043a \u0437\u0430 \u0441\u043f\u0435\u0446\u0456\u0430\u043b\u044c\u043d\u0456\u0441\u0442\u044c \u00ab\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0456\u044f \u0442\u0430 \u0442\u043e\u043f\u043e\u043b\u043e\u0433\u0456\u044f\u00bb, \u043f\u0440\u043e\u0444\u0435\u0441\u043e\u0440 [&hellip;]<\/p>\n","protected":false},"author":17,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3949","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages\/3949","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/users\/17"}],"replies":[{"embeddable":true,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/comments?post=3949"}],"version-history":[{"count":40,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages\/3949\/revisions"}],"predecessor-version":[{"id":4135,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages\/3949\/revisions\/4135"}],"wp:attachment":[{"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/media?parent=3949"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}