{"id":21,"date":"2020-02-09T15:21:13","date_gmt":"2020-02-09T15:21:13","guid":{"rendered":"http:\/\/eske-ewert.com\/?page_id=21"},"modified":"2026-01-11T16:43:07","modified_gmt":"2026-01-11T16:43:07","slug":"research","status":"publish","type":"page","link":"https:\/\/eske-ewert.com\/?page_id=21","title":{"rendered":"Research"},"content":{"rendered":"\n<p>I&#8217;m interested in Sub-Riemannian manifolds, Lie groups, partial differential equations and exploring their significance in Machine Learning.<\/p>\n\n\n\n<p><strong>Publications<\/strong><\/p>\n\n\n\n<p>Eske Ewert and Philipp Schmitt. <strong>Shubin calculi for actions of graded Lie groups<\/strong> (2025). Bulletin des Sciences Math\u00e9matiques, 199.(<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0007449724001908\">https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0007449724001908<\/a>) <\/p>\n\n\n\n<p>Eske Ewert. <strong>Pseudo-differential extension for graded nilpotent Lie groups<\/strong> (2023).&nbsp;Documenta Mathematica,&nbsp;28(6), 1323-1379. (<a href=\"https:\/\/ems.press\/content\/serial-article-files\/31135\">https:\/\/ems.press\/content\/serial-article-files\/31135<\/a>)<\/p>\n\n\n\n<p>Eske Ewert. <strong>Pseudodifferential operators on filtered manifolds as generalized fixed points<\/strong> (2023). Journal of Noncommutative Geometry, 17(1), 333\u2013383. (<a href=\"https:\/\/ems.press\/journals\/jncg\/articles\/9885484\">https:\/\/ems.press\/journals\/jncg\/articles\/9885484<\/a>)<\/p>\n\n\n\n<p>Eske Ewert. <strong>Index theory and groupoids for filtered manifolds<\/strong> (2020). PhD thesis. (<a rel=\"noopener noreferrer\" href=\"http:\/\/hdl.handle.net\/21.11130\/00-1735-0000-0005-152D-2\" target=\"_blank\">http:\/\/hdl.handle.net\/21.11130\/00-1735-0000-0005-152D-2<\/a>)<\/p>\n\n\n\n<p>Eske Ewert and Ralf Meyer. <b>Coarse geometry and topological phases<\/b>. Communications in Mathematical Physics, 366(3):1069-1098, 2019. (<a target=\"_blank\" rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1007\/s00220-019-03303-z\">https:\/\/doi.org\/10.1007\/s00220-019-03303-z&amp;l<\/a>)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;m interested in Sub-Riemannian manifolds, Lie groups, partial differential equations and exploring their significance in Machine Learning. Publications Eske Ewert and Philipp Schmitt. Shubin calculi for actions of graded Lie groups (2025). Bulletin des Sciences Math\u00e9matiques, 199.(https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0007449724001908) Eske Ewert. Pseudo-differential extension for graded nilpotent Lie groups (2023).&nbsp;Documenta Mathematica,&nbsp;28(6), 1323-1379. (https:\/\/ems.press\/content\/serial-article-files\/31135) Eske Ewert. Pseudodifferential operators on [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-21","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eske-ewert.com\/index.php?rest_route=\/wp\/v2\/pages\/21","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eske-ewert.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eske-ewert.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eske-ewert.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eske-ewert.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=21"}],"version-history":[{"count":20,"href":"https:\/\/eske-ewert.com\/index.php?rest_route=\/wp\/v2\/pages\/21\/revisions"}],"predecessor-version":[{"id":149,"href":"https:\/\/eske-ewert.com\/index.php?rest_route=\/wp\/v2\/pages\/21\/revisions\/149"}],"wp:attachment":[{"href":"https:\/\/eske-ewert.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}