Keegan Flood \u2014 Mathematics Research Center<\/title>\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;1,400;1,500&family=DM+Mono:wght@300;400;500&family=Outfit:wght@300;400;500;600&display=swap\" rel=\"stylesheet\">\n<style>\n body { background: #eee; padding: 2rem; margin: 0; }\n<\/style>\n<\/head>\n<body>\n\n\n<style>\n:root {\n --cream: #F5F0E8;\n --ink: #1A1610;\n --rust: #B84A2F;\n --gold: #C99A2E;\n --slate: #3D4A5C;\n --mist: #E8EDF4;\n --rule: #C8BFA8;\n --garamond: 'EB Garamond', Georgia, serif;\n --mono: 'DM Mono', monospace;\n --sans: 'Outfit', sans-serif;\n}\n*, *::before, *::after { box-sizing: border-box; margin: 0; padding: 0; }\n\n.pp-block {\n max-width: 980px; margin: 0 auto;\n background: var(--cream);\n border: 1px solid var(--rule);\n box-shadow: 4px 4px 0 var(--rule), 8px 8px 0 #d8cdb8;\n overflow: hidden;\n}\n\n\/* \u2500\u2500 Hero \u2500\u2500 *\/\n.pp-hero {\n background: var(--slate); 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}\n.pp-timeline .tl-body em { font-style: italic; color: #6A6058; }\n\n\/* \u2500\u2500 Publications \u2500\u2500 *\/\n.pp-pub-group { margin-bottom: 2.5rem; }\n.pp-pub-group:last-child { margin-bottom: 0; }\n.pp-pub-list { list-style: none; padding: 0; counter-reset: pub-counter; }\n.pp-pub-item {\n display: grid; grid-template-columns: 28px 1fr;\n gap: 0 0.6rem; padding: 0.7rem 0;\n border-bottom: 1px solid #EAE3D4;\n}\n.pp-pub-item:last-child { border-bottom: none; }\n.pp-pub-num {\n font-family: var(--mono); font-size: 0.65rem; color: var(--rule);\n text-align: right; padding-top: 0.2rem;\n}\n.pp-pub-content {\n display: flex;\n flex-direction: column;\n}\n\n.pub-link.publisher {\n color: #3D4A5C;\n}\n.pub-link.publisher:hover {\n background: #3D4A5C;\n color: #fff;\n}\n.pp-pub-title {\n font-family: var(--garamond); font-size: 1rem; font-weight: 500;\n line-height: 1.4; margin-bottom: 0.15rem;\n}\n.pp-pub-authors {\n font-family: var(--garamond); font-size: 0.9rem; color: #4A4038;\n margin-bottom: 0.15rem;\n}\n.pp-pub-venue {\n font-family: var(--garamond); font-style: italic;\n font-size: 0.88rem; color: #6A6058;\n}\n.pub-links { \n display: flex; flex-wrap: wrap; gap: 0.4rem; \n margin-top: 0.4rem; \/* Added margin to push it off the text slightly *\/\n}\n.pub-link {\n font-family: var(--mono); font-size: 0.62rem; letter-spacing: 0.08em;\n text-transform: uppercase; text-decoration: none;\n padding: 0.18rem 0.55rem;\n border: 1px solid currentColor;\n transition: all 0.15s;\n}\n.pub-link.arxiv { color: #B84A2F; }\n.pub-link.doi { color: #3D4A5C; }\n.pub-link.arxiv:hover { background: #B84A2F; color: #fff; }\n.pub-link.doi:hover { background: #3D4A5C; color: #fff; }\n\n\/* \u2500\u2500 Talks \u2500\u2500 *\/\n.pp-talks-list { list-style: none; padding: 0; }\n.pp-talks-list li {\n padding: 0.7rem 0 0.7rem 1.2rem; position: relative;\n border-bottom: 1px solid #EAE3D4;\n font-family: var(--garamond); font-size: 0.97rem;\n line-height: 1.6; color: #2E2820;\n}\n.pp-talks-list li:last-child { border-bottom: none; }\n.pp-talks-list li::before {\n content: ''; position: absolute; left: 0; top: 1.05em;\n width: 5px; height: 5px; background: var(--rust);\n}\n.pp-talks-list .talk-venue { font-style: italic; color: #6A6058; }\n\n\/* \u2500\u2500 Mobile Fixes \u2500\u2500 *\/\n@media (max-width: 680px) {\n .pp-hero { grid-template-columns: 1fr; }\n .pp-hero-photo, .pp-hero-photo-placeholder { \n width: 100%; \n height: auto; \n aspect-ratio: 1 \/ 1; \/* Scales naturally without squashing *\/\n }\n .pp-panels { padding: 1.5rem; }\n .pp-timeline li { grid-template-columns: 1fr; gap: 0.1rem; }\n .pp-pub-item { grid-template-columns: 20px 1fr; }\n}\n::-webkit-scrollbar { width: 5px; }\n::-webkit-scrollbar-track { background: transparent; }\n::-webkit-scrollbar-thumb { background: var(--rule); }\n<\/style>\n\n\n\n<div class=\"pp-block\">\n\n \n <div class=\"pp-hero\">\n \n <div class=\"pp-hero-photo-placeholder\">K.F.<\/div>\n \n <div class=\"pp-hero-info\">\n <div class=\"pp-hero-tag\">Researcher<\/div>\n <div class=\"pp-hero-name\">Keegan Flood<\/div>\n <div class=\"pp-hero-role\">Geometry Research Group<\/div>\n <div class=\"pp-hero-meta\">\n <a class=\"pp-hero-link\" href=\"mailto:keegan.flood@asoiu.edu.az\">keegan.flood@asoiu.edu.az<\/a>\n<a class=\"pp-hero-link\" href=\"https:\/\/scholar.google.com\/citations?hl=en&user=_rb4pNgAAAAJ&view_op=list_works\" target=\"_blank\" rel=\"noopener\">Google Scholar<\/a>\n <a class=\"pp-hero-link\" href=\"https:\/\/orcid.org\/0000-0002-0123-8681\" target=\"_blank\" rel=\"noopener\">ORCID<\/a>\n <\/div>\n <\/div>\n <\/div>\n\n \n <nav class=\"pp-nav\" role=\"tablist\">\n <button class=\"pp-tab active\" data-panel=\"research\">Research<\/button>\n <button class=\"pp-tab\" data-panel=\"education\">Education & Positions<\/button>\n <button class=\"pp-tab\" data-panel=\"publications\">Publications<\/button>\n <button class=\"pp-tab\" data-panel=\"talks\">Talks<\/button>\n <\/nav>\n\n \n <div class=\"pp-panels\">\n\n \n <section class=\"pp-panel active\" id=\"panel-research\">\n <div class=\"pp-section-label\">Research Interests<\/div>\n <p class=\"pp-research-intro\">I am interested in noncommutative geometry, geometric analysis, Cartan geometry, and geometric topology. My primary focus is the extension of classical differential geometric constructions (e.g. jets, differential operators, differential equations, higher order connections, Moyal quantization, multivector fields, Poisson geometry, etc.) to the noncommutative setting of unital associative algebras equipped with some additional structure encoding a notion of \u2018\u2018geometry”.<\/p>\n <div class=\"pp-interests\">\n <span class=\"pp-interest-tag\">Noncommutative geometry<\/span>\n <span class=\"pp-interest-tag\">Jet functors<\/span>\n <span class=\"pp-interest-tag\">Differential operators<\/span>\n <span class=\"pp-interest-tag\">Principal symbols<\/span>\n <span class=\"pp-interest-tag\">Parabolic geometry<\/span>\n <span class=\"pp-interest-tag\">Projective differential geometry<\/span>\n <span class=\"pp-interest-tag\">c-projective geometry<\/span>\n <span class=\"pp-interest-tag\">Geometric analysis<\/span>\n <span class=\"pp-interest-tag\">Hopf algebras<\/span>\n <span class=\"pp-interest-tag\">Lagrangian contact geometry<\/span>\n <span class=\"pp-interest-tag\">BGG sequences<\/span>\n <span class=\"pp-interest-tag\">Tractor calculus<\/span>\n <\/div>\n <\/section>\n\n \n <section class=\"pp-panel\" id=\"panel-education\">\n <div class=\"pp-section-label\">Academic Positions<\/div>\n <ul class=\"pp-timeline\">\n<li>\n<span class=\"tl-year\"> 2026 – present<\/span>\n<span class=\"tl-body\">\n <strong> Researcher<\/strong>, Mathematics Research Center<br>\n<em>ASOIU, Baku, Azerbaijan<\/em>\n <\/li>\n <li>\n <span class=\"tl-year\">2023 \u2013 2025<\/span>\n <span class=\"tl-body\">\n <strong>Postdoctoral Researcher<\/strong>, Faculty of Mathematics and Computer Science<br>\n <em>UniDistance Suisse, Brig, Switzerland<\/em>\n <\/span>\n <\/li>\n <li>\n <span class=\"tl-year\">2020 \u2013 2023<\/span>\n <span class=\"tl-body\">\n <strong>Postdoctoral Researcher<\/strong>, Department of Mathematics and Statistics<br>\n <em>Masaryk University, Brno, Czech Republic<\/em>\n <\/span>\n <\/li>\n <\/ul>\n\n <div class=\"pp-section-label pp-mt\">Education<\/div>\n <ul class=\"pp-timeline\">\n <li>\n <span class=\"tl-year\">2019<\/span>\n <span class=\"tl-body\">\n <strong>Ph.D. in Mathematics<\/strong>, University of Auckland, New Zealand<br><em>Supervisors: A. Rod Gover and Pedram Hekmati<\/em><br>\n <em>Thesis: The geometry of solutions to the metrizability equation in projective and c-projective geometry<\/em>\n <\/span>\n <\/li>\n <li>\n <span class=\"tl-year\">2014<\/span>\n <span class=\"tl-body\">\n <strong>M.Math. in Pure Mathematics<\/strong>, University of Waterloo, Canada<br><em>Supervisors: Alexandru Nica<\/em><br>\n <em>Thesis: Brownian motion and the Dirichlet problem<\/em>\n <\/span>\n <\/li>\n <li>\n <span class=\"tl-year\">2013<\/span>\n <span class=\"tl-body\">\n <strong>B.Sc. in Mathematics<\/strong>, University of Washington, Seattle, USA\n <\/span>\n <\/li>\n <\/ul>\n <\/section>\n\n \n <section class=\"pp-panel\" id=\"panel-publications\">\n\n <div class=\"pp-pub-group\">\n \n <ul class=\"pp-pub-list\">\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Canonical differential calculi via functorial geometrization<\/div>\n <div class=\"pp-pub-authors\">with Gabriele Lobbia and Giacomo Tendas<\/div>\n <div class=\"pp-pub-venue\">preprint (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2512.20742\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Higher order connections in noncommutative geometry<\/div>\n <div class=\"pp-pub-authors\">with Mauro Mantegazza and Henrik Winther<\/div>\n <div class=\"pp-pub-venue\">preprint (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2504.05519\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Symbols in noncommutative geometry<\/div>\n <div class=\"pp-pub-authors\">with Mauro Mantegazza and Henrik Winther<\/div>\n <div class=\"pp-pub-venue\">preprint (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2308.00835\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n \n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Flat extensions of principal connections and the Chern\u2013Simons 3-form<\/div>\n <div class=\"pp-pub-authors\">with Andreas \u010cap and Thomas Mettler<\/div>\n <div class=\"pp-pub-venue\">Annales Henri Lebesgue 8 (2025), 1037\u20131059<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2409.12811\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/ahl.centre-mersenne.org\/articles\/10.5802\/ahl.255\/\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Jet functors in noncommutative geometry<\/div>\n <div class=\"pp-pub-authors\">with Mauro Mantegazza and Henrik Winther<\/div>\n <div class=\"pp-pub-venue\">Selecta Mathematica New Series 31, 70 (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2204.12401\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s00029-025-01064-3\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Canonical curves and Kropina metrics in Lagrangian contact geometry<\/div>\n <div class=\"pp-pub-authors\">with Tianyu Ma, Vladimir Matveev, and Vojt\u011bch \u017d\u00e1dn\u00edk<\/div>\n <div class=\"pp-pub-venue\">Nonlinearity 37 (2024), 015007<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2301.09907\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6544\/ad0c2b\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Geometry of solutions to the c-projective metrizability equation<\/div>\n <div class=\"pp-pub-authors\">with A. Rod Gover<\/div>\n <div class=\"pp-pub-venue\">Annali di Matematica Pura ed Applicata 202 (2023), 1343\u20131368<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2112.15014\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s10231-022-01283-x\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Metrics in projective differential geometry: the geometry of solutions to the metrizability equation<\/div>\n <div class=\"pp-pub-authors\">with A. Rod Gover<\/div>\n <div class=\"pp-pub-venue\">Journal of Geometric Analysis 29(3) (2019), 2492\u20132525<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/1802.06329\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s12220-018-0084-5\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <\/ul>\n <\/div>\n\n<\/section>\n \n <section class=\"pp-panel\" id=\"panel-talks\">\n <div class=\"pp-section-label\">Selected Talks<\/div>\n <ul class=\"pp-talks-list\">\n<li>\n <strong>Constructing canonical calculi<\/strong><br>\n <span class=\"talk-venue\">A Quantum of Noncommutativity \nAmbleside, United Kingdom, 8 July 2025 <\/span>\n <\/li>\n\n<li>\n <strong>Constructing canonical calculi<\/strong><br>\n <span class=\"talk-venue\">Differential Geometry and its Applications.\nBrno, Czech Republic, 13 September 2025 <\/span>\n <\/li>\n <li>\n <strong>Spencer operators and higher connections in the noncommutative setting<\/strong><br>\n <span class=\"talk-venue\">Srn\u00ed Winter School, Geometry and Physics \u2014 Srn\u00ed, Czech Republic, January 2024<\/span>\n <\/li>\n <li>\n <strong>Principal symbols in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Workshop on Noncommutative and Generalized Geometry in String Theory, Gauge Theory and Related Physical Models \u2014 Corfu, Greece, September 2023<\/span>\n <\/li>\n <li>\n <strong>Principal symbols in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Quantum Groups and Noncommutative Geometry in Prague \u2014 Prague, Czech Republic, September 2023<\/span>\n <\/li>\n <li>\n <strong>Jet functors and differential operators in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Emergent Geometries from Strings and Quantum Fields \u2014 Florence, Italy, July 2023<\/span>\n <\/li>\n <li>\n <strong>The jet functor in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Srn\u00ed Winter School, Geometry and Physics \u2014 Srn\u00ed, Czech Republic, January 2022<\/span>\n <\/li>\n <li>\n <strong>C-projectively compact quasi-K\u00e4hler metrics with CR boundary<\/strong><br>\n <span class=\"talk-venue\">Connections, Symmetries, and Finsler Geometry Conference \u2014 Universit\u00e4t Jena, Germany, November 2020<\/span>\n <\/li>\n <li>\n <strong>The geometry of singular solutions to the c-projective metrizability equation<\/strong><br>\n <span class=\"talk-venue\">Differential Geometry Seminar, Masaryk University \u2014 Brno, Czech Republic, October 2020<\/span>\n <\/li>\n <li>\n <strong>C-projective metrizability and CR submanifolds<\/strong><br>\n <span class=\"talk-venue\">Analysis Seminar, University of California San Diego \u2014 May 2019<\/span>\n <\/li>\n <li>\n <strong>Non-normal BGG equations and curved orbit decompositions<\/strong><br>\n <span class=\"talk-venue\">Australian Mathematical Society Annual Conference \u2014 University of Adelaide, December 2018<\/span>\n <\/li>\n <li>\n <strong>Scalar curvature and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Geometry Seminar, KU Leuven \u2014 Leuven, Belgium, November 2018<\/span>\n <\/li>\n <li>\n <strong>Scalar curvature and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Sophus Lie Seminar, University of Troms\u00f8 \u2014 Norway, November 2018<\/span>\n <\/li>\n <li>\n <strong>Conformal geometry via tractor calculus<\/strong><br>\n <span class=\"talk-venue\">Sophus Lie Seminar, University of Troms\u00f8 \u2014 Norway, November 2018<\/span>\n <\/li>\n <li>\n <strong>Scalar curvature and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Geometric Analysis Seminar, Goethe Universit\u00e4t Frankfurt \u2014 Germany, November 2018<\/span>\n <\/li>\n <li>\n <strong>Metric projective geometries and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Differential Geometry, Lie Theory, and Low-Dimensional Topology \u2014 La Trobe University, Melbourne, December 2016<\/span>\n <\/li>\n\n <\/ul>\n <\/section>\n\n <\/div>\n\n<\/div>\n\n<script>\ndocument.querySelectorAll('.pp-tab').forEach(function(tab) {\n tab.addEventListener('click', function() {\n var panel = tab.dataset.panel;\n document.querySelectorAll('.pp-tab').forEach(function(t) { t.classList.remove('active'); });\n document.querySelectorAll('.pp-panel').forEach(function(p) { p.classList.remove('active'); });\n tab.classList.add('active');\n document.getElementById('panel-' + panel).classList.add('active');\n });\n});\n<\/script>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>Keegan Flood \u2014 Mathematics Research Center K.F. Researcher Keegan Flood Geometry Research Group keegan.flood@asoiu.edu.az Google Scholar ORCID Research Education & Positions Publications Talks Research Interests I am interested in noncommutative geometry, geometric analysis, Cartan geometry, and geometric topology. My primary focus is the extension of classical differential geometric constructions (e.g. jets, differential operators, differential equations, […]<\/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-136","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/comments?post=136"}],"version-history":[{"count":18,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions"}],"predecessor-version":[{"id":449,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions\/449"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":136,"date":"2026-04-15T05:56:40","date_gmt":"2026-04-15T05:56:40","guid":{"rendered":"https:\/\/mrc-baku.org\/?page_id=136"},"modified":"2026-04-24T02:49:29","modified_gmt":"2026-04-24T02:49:29","slug":"keeganflood","status":"publish","type":"page","link":"https:\/\/mrc-baku.org\/index.php\/keeganflood\/","title":{"rendered":"MRC – Keegan Flood"},"content":{"rendered":"\n\n\n\n\n\nKeegan Flood \u2014 Mathematics Research Center<\/title>\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;1,400;1,500&family=DM+Mono:wght@300;400;500&family=Outfit:wght@300;400;500;600&display=swap\" rel=\"stylesheet\">\n<style>\n body { background: #eee; padding: 2rem; margin: 0; }\n<\/style>\n<\/head>\n<body>\n\n\n<style>\n:root {\n --cream: #F5F0E8;\n --ink: #1A1610;\n --rust: #B84A2F;\n --gold: #C99A2E;\n --slate: #3D4A5C;\n --mist: #E8EDF4;\n --rule: #C8BFA8;\n --garamond: 'EB Garamond', Georgia, serif;\n --mono: 'DM Mono', monospace;\n --sans: 'Outfit', sans-serif;\n}\n*, *::before, *::after { box-sizing: border-box; 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position: relative;\n border-bottom: 1px solid #EAE3D4;\n font-family: var(--garamond); font-size: 0.97rem;\n line-height: 1.6; color: #2E2820;\n}\n.pp-talks-list li:last-child { border-bottom: none; }\n.pp-talks-list li::before {\n content: ''; position: absolute; left: 0; top: 1.05em;\n width: 5px; height: 5px; background: var(--rust);\n}\n.pp-talks-list .talk-venue { font-style: italic; color: #6A6058; }\n\n\/* \u2500\u2500 Mobile Fixes \u2500\u2500 *\/\n@media (max-width: 680px) {\n .pp-hero { grid-template-columns: 1fr; }\n .pp-hero-photo, .pp-hero-photo-placeholder { \n width: 100%; \n height: auto; \n aspect-ratio: 1 \/ 1; \/* Scales naturally without squashing *\/\n }\n .pp-panels { padding: 1.5rem; }\n .pp-timeline li { grid-template-columns: 1fr; gap: 0.1rem; }\n .pp-pub-item { grid-template-columns: 20px 1fr; }\n}\n::-webkit-scrollbar { width: 5px; }\n::-webkit-scrollbar-track { background: transparent; }\n::-webkit-scrollbar-thumb { background: var(--rule); }\n<\/style>\n\n\n\n<div class=\"pp-block\">\n\n \n <div class=\"pp-hero\">\n \n <div class=\"pp-hero-photo-placeholder\">K.F.<\/div>\n \n <div class=\"pp-hero-info\">\n <div class=\"pp-hero-tag\">Researcher<\/div>\n <div class=\"pp-hero-name\">Keegan Flood<\/div>\n <div class=\"pp-hero-role\">Geometry Research Group<\/div>\n <div class=\"pp-hero-meta\">\n <a class=\"pp-hero-link\" href=\"mailto:keegan.flood@asoiu.edu.az\">keegan.flood@asoiu.edu.az<\/a>\n<a class=\"pp-hero-link\" href=\"https:\/\/scholar.google.com\/citations?hl=en&user=_rb4pNgAAAAJ&view_op=list_works\" target=\"_blank\" rel=\"noopener\">Google Scholar<\/a>\n <a class=\"pp-hero-link\" href=\"https:\/\/orcid.org\/0000-0002-0123-8681\" target=\"_blank\" rel=\"noopener\">ORCID<\/a>\n <\/div>\n <\/div>\n <\/div>\n\n \n <nav class=\"pp-nav\" role=\"tablist\">\n <button class=\"pp-tab active\" data-panel=\"research\">Research<\/button>\n <button class=\"pp-tab\" data-panel=\"education\">Education & Positions<\/button>\n <button class=\"pp-tab\" data-panel=\"publications\">Publications<\/button>\n <button class=\"pp-tab\" data-panel=\"talks\">Talks<\/button>\n <\/nav>\n\n \n <div class=\"pp-panels\">\n\n \n <section class=\"pp-panel active\" id=\"panel-research\">\n <div class=\"pp-section-label\">Research Interests<\/div>\n <p class=\"pp-research-intro\">I am interested in noncommutative geometry, geometric analysis, Cartan geometry, and geometric topology. My primary focus is the extension of classical differential geometric constructions (e.g. jets, differential operators, differential equations, higher order connections, Moyal quantization, multivector fields, Poisson geometry, etc.) to the noncommutative setting of unital associative algebras equipped with some additional structure encoding a notion of \u2018\u2018geometry”.<\/p>\n <div class=\"pp-interests\">\n <span class=\"pp-interest-tag\">Noncommutative geometry<\/span>\n <span class=\"pp-interest-tag\">Jet functors<\/span>\n <span class=\"pp-interest-tag\">Differential operators<\/span>\n <span class=\"pp-interest-tag\">Principal symbols<\/span>\n <span class=\"pp-interest-tag\">Parabolic geometry<\/span>\n <span class=\"pp-interest-tag\">Projective differential geometry<\/span>\n <span class=\"pp-interest-tag\">c-projective geometry<\/span>\n <span class=\"pp-interest-tag\">Geometric analysis<\/span>\n <span class=\"pp-interest-tag\">Hopf algebras<\/span>\n <span class=\"pp-interest-tag\">Lagrangian contact geometry<\/span>\n <span class=\"pp-interest-tag\">BGG sequences<\/span>\n <span class=\"pp-interest-tag\">Tractor calculus<\/span>\n <\/div>\n <\/section>\n\n \n <section class=\"pp-panel\" id=\"panel-education\">\n <div class=\"pp-section-label\">Academic Positions<\/div>\n <ul class=\"pp-timeline\">\n<li>\n<span class=\"tl-year\"> 2026 – present<\/span>\n<span class=\"tl-body\">\n <strong> Researcher<\/strong>, Mathematics Research Center<br>\n<em>ASOIU, Baku, Azerbaijan<\/em>\n <\/li>\n <li>\n <span class=\"tl-year\">2023 \u2013 2025<\/span>\n <span class=\"tl-body\">\n <strong>Postdoctoral Researcher<\/strong>, Faculty of Mathematics and Computer Science<br>\n <em>UniDistance Suisse, Brig, Switzerland<\/em>\n <\/span>\n <\/li>\n <li>\n <span class=\"tl-year\">2020 \u2013 2023<\/span>\n <span class=\"tl-body\">\n <strong>Postdoctoral Researcher<\/strong>, Department of Mathematics and Statistics<br>\n <em>Masaryk University, Brno, Czech Republic<\/em>\n <\/span>\n <\/li>\n <\/ul>\n\n <div class=\"pp-section-label pp-mt\">Education<\/div>\n <ul class=\"pp-timeline\">\n <li>\n <span class=\"tl-year\">2019<\/span>\n <span class=\"tl-body\">\n <strong>Ph.D. in Mathematics<\/strong>, University of Auckland, New Zealand<br><em>Supervisors: A. Rod Gover and Pedram Hekmati<\/em><br>\n <em>Thesis: The geometry of solutions to the metrizability equation in projective and c-projective geometry<\/em>\n <\/span>\n <\/li>\n <li>\n <span class=\"tl-year\">2014<\/span>\n <span class=\"tl-body\">\n <strong>M.Math. in Pure Mathematics<\/strong>, University of Waterloo, Canada<br><em>Supervisors: Alexandru Nica<\/em><br>\n <em>Thesis: Brownian motion and the Dirichlet problem<\/em>\n <\/span>\n <\/li>\n <li>\n <span class=\"tl-year\">2013<\/span>\n <span class=\"tl-body\">\n <strong>B.Sc. in Mathematics<\/strong>, University of Washington, Seattle, USA\n <\/span>\n <\/li>\n <\/ul>\n <\/section>\n\n \n <section class=\"pp-panel\" id=\"panel-publications\">\n\n <div class=\"pp-pub-group\">\n \n <ul class=\"pp-pub-list\">\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Canonical differential calculi via functorial geometrization<\/div>\n <div class=\"pp-pub-authors\">with Gabriele Lobbia and Giacomo Tendas<\/div>\n <div class=\"pp-pub-venue\">preprint (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2512.20742\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Higher order connections in noncommutative geometry<\/div>\n <div class=\"pp-pub-authors\">with Mauro Mantegazza and Henrik Winther<\/div>\n <div class=\"pp-pub-venue\">preprint (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2504.05519\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Symbols in noncommutative geometry<\/div>\n <div class=\"pp-pub-authors\">with Mauro Mantegazza and Henrik Winther<\/div>\n <div class=\"pp-pub-venue\">preprint (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2308.00835\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n \n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Flat extensions of principal connections and the Chern\u2013Simons 3-form<\/div>\n <div class=\"pp-pub-authors\">with Andreas \u010cap and Thomas Mettler<\/div>\n <div class=\"pp-pub-venue\">Annales Henri Lebesgue 8 (2025), 1037\u20131059<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2409.12811\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/ahl.centre-mersenne.org\/articles\/10.5802\/ahl.255\/\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Jet functors in noncommutative geometry<\/div>\n <div class=\"pp-pub-authors\">with Mauro Mantegazza and Henrik Winther<\/div>\n <div class=\"pp-pub-venue\">Selecta Mathematica New Series 31, 70 (2025)<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2204.12401\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s00029-025-01064-3\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Canonical curves and Kropina metrics in Lagrangian contact geometry<\/div>\n <div class=\"pp-pub-authors\">with Tianyu Ma, Vladimir Matveev, and Vojt\u011bch \u017d\u00e1dn\u00edk<\/div>\n <div class=\"pp-pub-venue\">Nonlinearity 37 (2024), 015007<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2301.09907\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6544\/ad0c2b\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Geometry of solutions to the c-projective metrizability equation<\/div>\n <div class=\"pp-pub-authors\">with A. Rod Gover<\/div>\n <div class=\"pp-pub-venue\">Annali di Matematica Pura ed Applicata 202 (2023), 1343\u20131368<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/2112.15014\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s10231-022-01283-x\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <li class=\"pp-pub-item\">\n <span class=\"pp-pub-num\">●<\/span>\n <div class=\"pp-pub-content\">\n <div class=\"pp-pub-title\">Metrics in projective differential geometry: the geometry of solutions to the metrizability equation<\/div>\n <div class=\"pp-pub-authors\">with A. Rod Gover<\/div>\n <div class=\"pp-pub-venue\">Journal of Geometric Analysis 29(3) (2019), 2492\u20132525<\/div>\n <div class=\"pub-links\">\n <a class=\"pub-link arxiv\" href=\"https:\/\/arxiv.org\/abs\/1802.06329\" target=\"_blank\" rel=\"noopener\">arXiv<\/a>\n <a class=\"pub-link publisher\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s12220-018-0084-5\" target=\"_blank\" rel=\"noopener\">Publisher<\/a>\n <\/div>\n <\/div>\n <\/li>\n\n <\/ul>\n <\/div>\n\n<\/section>\n \n <section class=\"pp-panel\" id=\"panel-talks\">\n <div class=\"pp-section-label\">Selected Talks<\/div>\n <ul class=\"pp-talks-list\">\n<li>\n <strong>Constructing canonical calculi<\/strong><br>\n <span class=\"talk-venue\">A Quantum of Noncommutativity \nAmbleside, United Kingdom, 8 July 2025 <\/span>\n <\/li>\n\n<li>\n <strong>Constructing canonical calculi<\/strong><br>\n <span class=\"talk-venue\">Differential Geometry and its Applications.\nBrno, Czech Republic, 13 September 2025 <\/span>\n <\/li>\n <li>\n <strong>Spencer operators and higher connections in the noncommutative setting<\/strong><br>\n <span class=\"talk-venue\">Srn\u00ed Winter School, Geometry and Physics \u2014 Srn\u00ed, Czech Republic, January 2024<\/span>\n <\/li>\n <li>\n <strong>Principal symbols in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Workshop on Noncommutative and Generalized Geometry in String Theory, Gauge Theory and Related Physical Models \u2014 Corfu, Greece, September 2023<\/span>\n <\/li>\n <li>\n <strong>Principal symbols in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Quantum Groups and Noncommutative Geometry in Prague \u2014 Prague, Czech Republic, September 2023<\/span>\n <\/li>\n <li>\n <strong>Jet functors and differential operators in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Emergent Geometries from Strings and Quantum Fields \u2014 Florence, Italy, July 2023<\/span>\n <\/li>\n <li>\n <strong>The jet functor in noncommutative geometry<\/strong><br>\n <span class=\"talk-venue\">Srn\u00ed Winter School, Geometry and Physics \u2014 Srn\u00ed, Czech Republic, January 2022<\/span>\n <\/li>\n <li>\n <strong>C-projectively compact quasi-K\u00e4hler metrics with CR boundary<\/strong><br>\n <span class=\"talk-venue\">Connections, Symmetries, and Finsler Geometry Conference \u2014 Universit\u00e4t Jena, Germany, November 2020<\/span>\n <\/li>\n <li>\n <strong>The geometry of singular solutions to the c-projective metrizability equation<\/strong><br>\n <span class=\"talk-venue\">Differential Geometry Seminar, Masaryk University \u2014 Brno, Czech Republic, October 2020<\/span>\n <\/li>\n <li>\n <strong>C-projective metrizability and CR submanifolds<\/strong><br>\n <span class=\"talk-venue\">Analysis Seminar, University of California San Diego \u2014 May 2019<\/span>\n <\/li>\n <li>\n <strong>Non-normal BGG equations and curved orbit decompositions<\/strong><br>\n <span class=\"talk-venue\">Australian Mathematical Society Annual Conference \u2014 University of Adelaide, December 2018<\/span>\n <\/li>\n <li>\n <strong>Scalar curvature and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Geometry Seminar, KU Leuven \u2014 Leuven, Belgium, November 2018<\/span>\n <\/li>\n <li>\n <strong>Scalar curvature and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Sophus Lie Seminar, University of Troms\u00f8 \u2014 Norway, November 2018<\/span>\n <\/li>\n <li>\n <strong>Conformal geometry via tractor calculus<\/strong><br>\n <span class=\"talk-venue\">Sophus Lie Seminar, University of Troms\u00f8 \u2014 Norway, November 2018<\/span>\n <\/li>\n <li>\n <strong>Scalar curvature and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Geometric Analysis Seminar, Goethe Universit\u00e4t Frankfurt \u2014 Germany, November 2018<\/span>\n <\/li>\n <li>\n <strong>Metric projective geometries and projective compactification<\/strong><br>\n <span class=\"talk-venue\">Differential Geometry, Lie Theory, and Low-Dimensional Topology \u2014 La Trobe University, Melbourne, December 2016<\/span>\n <\/li>\n\n <\/ul>\n <\/section>\n\n <\/div>\n\n<\/div>\n\n<script>\ndocument.querySelectorAll('.pp-tab').forEach(function(tab) {\n tab.addEventListener('click', function() {\n var panel = tab.dataset.panel;\n document.querySelectorAll('.pp-tab').forEach(function(t) { t.classList.remove('active'); });\n document.querySelectorAll('.pp-panel').forEach(function(p) { p.classList.remove('active'); });\n tab.classList.add('active');\n document.getElementById('panel-' + panel).classList.add('active');\n });\n});\n<\/script>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>Keegan Flood \u2014 Mathematics Research Center K.F. Researcher Keegan Flood Geometry Research Group keegan.flood@asoiu.edu.az Google Scholar ORCID Research Education & Positions Publications Talks Research Interests I am interested in noncommutative geometry, geometric analysis, Cartan geometry, and geometric topology. My primary focus is the extension of classical differential geometric constructions (e.g. jets, differential operators, differential equations, […]<\/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-136","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/comments?post=136"}],"version-history":[{"count":18,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions"}],"predecessor-version":[{"id":449,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions\/449"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}