{"id":1649,"date":"2025-02-12T22:02:34","date_gmt":"2025-02-12T19:02:34","guid":{"rendered":"http:\/\/math.karazin.ua\/?page_id=1649"},"modified":"2025-02-12T22:02:34","modified_gmt":"2025-02-12T19:02:34","slug":"%d0%ba%d0%b0%d1%84%d0%b5%d0%b4%d1%80%d0%b0-%d1%84%d1%83%d0%bd%d0%b4%d0%b0%d0%bc%d0%b5%d0%bd%d1%82%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%d1%97-%d0%bc%d0%b0%d1%82%d0%b5%d0%bc%d0%b0%d1%82%d0%b8%d0%ba%d0%b8","status":"publish","type":"page","link":"https:\/\/math.karazin.ua\/en\/scientific-directions\/%d0%ba%d0%b0%d1%84%d0%b5%d0%b4%d1%80%d0%b0-%d1%84%d1%83%d0%bd%d0%b4%d0%b0%d0%bc%d0%b5%d0%bd%d1%82%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%d1%97-%d0%bc%d0%b0%d1%82%d0%b5%d0%bc%d0%b0%d1%82%d0%b8%d0%ba%d0%b8\/","title":{"rendered":"Department of Fundamental Mathematics"},"content":{"rendered":"<p><i>Algebra<\/i><\/p>\n<ul>\n<li>Lie algebras, quantum groups, Poisson geometry, representation theory<\/li>\n<\/ul>\n<p><i>Geometry<\/i><\/p>\n<ul>\n<li>Affine differential geometry, geometry of submanifolds in affine space<\/li>\n<li>Geometry of submanifolds in fiber bundles, geometric properties of vector fields and sections of vector bundles<\/li>\n<li>Differential geometry of Lie groups and homogeneous spaces, geometry of submanifolds in homogeneous spaces<\/li>\n<li>Grassmann manifolds and Grassmann image of submanifolds, pseudospherical submanifolds, Bianchi-B\u00e4cklund transformations, minimal surfaces, polyhedra and their flexions, integrable systems<\/li>\n<li>Foliations of Riemannian manifolds, geometric topology, metric geometry<\/li>\n<\/ul>\n<p><i>Partial differential equations and mathematical physics<\/i><\/p>\n<ul>\n<li>Asymptotic behavior of solutions of partial differential equations, dynamical systems<\/li>\n<li>Differential equations with delay; state-dependent delay, dynamical systems<\/li>\n<li>Inverse problems of spectral theory for differential equations, integrable nonlinear equations<\/li>\n<\/ul>\n<p><i>Theory of functions<\/i><\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Harmonic analysis, theory of quasicrystals<\/b><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><i>Functional Analysis<\/i><\/p>\n<ul>\n<li>Theory of Banach spaces<\/li>\n<li>Operator theory, interpolation problems of analysis<\/li>\n<\/ul>\n<p><i>Algebraic and arithmetic questions of the theory of differential and difference equations<\/i><\/p>","protected":false},"excerpt":{"rendered":"<p>\u0410\u043b\u0433\u0435\u0431\u0440\u0430 \u0410\u043b\u0433\u0435\u0431\u0440\u0438 \u041b\u0456, \u043a\u0432\u0430\u043d\u0442\u043e\u0432\u0456 \u0433\u0440\u0443\u043f\u0438, \u043f\u0443\u0430\u0441\u0441\u043e\u043d\u043e\u0432\u0430 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0456\u044f, \u0442\u0435\u043e\u0440\u0456\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u044c \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0456\u044f \u0410\u0444\u0456\u043d\u043d\u0430 \u0434\u0438\u0444\u0435\u0440\u0435\u043d\u0446\u0456\u0430\u043b\u044c\u043d\u0430 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0456\u044f, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1645,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1649","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages\/1649","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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/comments?post=1649"}],"version-history":[{"count":1,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages\/1649\/revisions"}],"predecessor-version":[{"id":1650,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages\/1649\/revisions\/1650"}],"up":[{"embeddable":true,"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/pages\/1645"}],"wp:attachment":[{"href":"https:\/\/math.karazin.ua\/en\/wp-json\/wp\/v2\/media?parent=1649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}