{"id":348,"date":"2023-06-16T19:58:22","date_gmt":"2023-06-17T02:58:22","guid":{"rendered":"https:\/\/blogs.ubc.ca\/paultsopmene\/?page_id=348"},"modified":"2023-06-26T10:02:28","modified_gmt":"2023-06-26T17:02:28","slug":"traditional-research","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/paultsopmene\/traditional-research\/","title":{"rendered":"Traditional Research"},"content":{"rendered":"<p><strong>Area of special interest<\/strong>: algebraic topology<\/p>\n<p><strong>Keywords<\/strong>: spaces of embeddings, knots, links, operads, calculus of functors, manifold calculus, homotopy theory, graph complexes.<\/p>\n<p><strong>Publications<\/strong>:<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9 and D. Stanley.<i> Classification of polynomial functors in manifold calculus<\/i>. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1903.06301\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9 and D. Stanley. <i>Classification of homogeneous functors in manifold calculus. <\/i><a href=\"https:\/\/doi.org\/10.48550\/arXiv.1807.06120\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9 and D. Stanley.<i> Very good homogeneous functors in manifold calculus. <\/i>Colloquium Mathematicum 158 (2019), no. 2, 265-297. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1705.01202\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9 and D. Stanley. <em>Polynomial functors in manifold calculus. Topology Appl<\/em>. 248 (2018), 75-116. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1708.02642\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9 and V. Turchin. <em>Rational homology and homotopy of high dimensional string links.<\/em> Forum Math. 30 (2018), no. 5, 1209-1235. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1504.00896\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9 and V. Turchin. <em>Euler characteristics for spaces of string links and the modular envelope of L_\u221e<\/em>. Homology Homotopy Appl. 20 (2018), no. 2, 115-144. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1609.00778\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9. <em>Symmetric multiplicative formality of the Kontsevich operad<\/em>. J. Homotopy Relat. Struct. 13 (2018), no. 1, 225-235. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1604.08006\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9. <em>The rational homology of spaces of long links.<\/em> Algebr. Geom. Topol. 16 (2016), no. 2, 757-782. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1312.7280\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9. <em>McClure-Smith cosimplicial machinery and the cacti operad.<\/em> Topology Appl. 193 (2015), 31-50. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1403.7504\">Preprint<\/a>.<\/li>\n<li>P. A. Songhafouo Tsopm\u00e9n\u00e9. <em>Formality of Sinha&#8217;s cosimplicial model for long knots spaces and the Gerstenhaber algebra structure of homology<\/em>. Algebr. Geom. Topol. 13 (2013), no. 4, 2193-2205. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1210.2561\">Preprint<\/a>.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><strong>Invited Conference Presentations:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Connection between embeddings and combinatorics. Workshop on Polyhedral Products in Homotopy Theory, Fields Institute, Toronto, Jan 2020.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Invited Seminars, Colloquia, and Workshops Presentations:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Connection between embeddings and combinatorics. Symplectic Seminar, University of Toronto, Jan 2020.<\/li>\n<li>Connection between embeddings and combinatorics, Colloquium, University of Regina, Jan 2020.<\/li>\n<li>Cosimplicial models for manifold calculus. Workshop on Functor Calculus, Ohio State University, Mar 2019.<\/li>\n<li>Manifold calculus of functors. University of Louisiana at Lafayette Topology Seminar, Feb 2019.<\/li>\n<li>Cosimplicial models for manifold calculus. CMS Meeting, Topology session, Vancouver, Dec 2018.<\/li>\n<li>Manifold calculus. Kansas State University Topology Seminar, Nov 2018.<\/li>\n<li>Classification of very good homogeneous functors. University of Victoria Topology Seminar, Apr 2017.<\/li>\n<li>Cosimplicial models for manifolds calculus. University of Oregon Topology Seminar, Feb 2017.<\/li>\n<li>Goodwillie-Weiss Manifold Calculus and Applications. Colloquium, University of Regina, Oct 2016.<\/li>\n<li>E_n-operads and spaces of embeddings. Mini Course, Summer School on Rational Homotopy Theory and its Interactions,<br \/>\nUniversity of Rabat, Morocco, Jul 2016.<\/li>\n<li>Hodge decomposition in the homology of high string links. University of Paris 13 Topology Seminar, Apr 2015.<\/li>\n<li>Gerstenhaber algebra structure in the homology of the space of long knots. Colloquium, Kansas State University, Jan 2015.<\/li>\n<li>Cosimplicial models for spaces of embeddings. University of Haifa Topology Seminar, Dec 2014.<\/li>\n<li>Goodwillie-Weiss calculus: spaces of embeddings. Mini Course, Hebrew University of Jerusalem, Dec 2014.<\/li>\n<li>Cosimplicial models for spaces of embeddings. EPFL Topology Seminar, Nov 2014.<\/li>\n<li>Multiplicative formality of the Kontsevich operad and Gerstenhaber algebras. University of Lille 1 Topology Seminar, Jun 2013.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Other Presentations:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Euler characteristics for spaces of string links and the modular envelope of L_{\u221e}. Workshop on Arithmetic Topology, University of British Columbia (UBC), Jun 2019.<\/li>\n<li>Manifold calculus. Saskatchewan Topology Meeting, University of Regina, Jul 2018.<\/li>\n<li>Classification of homogeneous functors in manifold calculus. Conference on Graph Complexes, Configuration Spaces and Manifold Calculus, UBC, May 2018.<\/li>\n<li>Generalization of Goodwillie-Weiss manifold calculus. Galapagos Conference, Topology Ecuador 2017, Aug 2017.<\/li>\n<li>Very good homogeneous functors in manifold calculus. PIMS YRC, University of Saskatchewan, Jun 2017.<\/li>\n<li>The rational homology of spaces of long links. Conference on Manifolds, K-Theory, and Related Topics, Dubrovnik, Jun 2014.<\/li>\n<li>Formalit\u00e9 multiplicative de l&#8217;op\u00e9rade de Kontsevich et structure d&#8217;alg\u00e8bre de Gerstenhaber. Colloque 2013 du GDR 2875, Topologie Alg\\&#8217;ebrique et Applications, University of Angers, Oct 2013.<\/li>\n<li>Sullivan&#8217;s minimal model. Symposium on the rational homotopy theory, University of Nice and Sophia-Antipolis, Dec 2012.<\/li>\n<li>Multiplicative operads up to homotopy. Young Topologists Meeting, University of Copenhagen, Jul 2012.<\/li>\n<li>Little n-cubes operads, Poisson algebra and long knots. Young Topologists Meeting, EPFL, Jun 2011.<\/li>\n<li>Homotopy limits and colimits. University of Regina, Nov 2019.<\/li>\n<li>Simplicial model categories. University of Regina, Oct 2019.<\/li>\n<li>Simplicial categories and the hammock localization. University of Regina, Oct 2019.<\/li>\n<li>Derivatives of functors in manifold calculus. University of Regina, Apr 2019.<\/li>\n<li>Operads and chain rules for the calculus of functors, Part 2. University of Regina, Feb 2019.<\/li>\n<li>Operads and chain rules for the calculus of functors. University of Regina, Jan 2019.<\/li>\n<li>Cosimplicial models for manifold calculus. University of Regina, Dec 2018.<\/li>\n<li>Bar constructions for topological operads and the Goodwillie derivatives of the identity, Part II. University of Regina, Oct 2018.<\/li>\n<li>Bar Constructions for topological operads and the Goodwillie derivatives of the identity. University of Regina, Oct 2018.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Area of special interest: algebraic topology Keywords: spaces of embeddings, knots, links, operads, calculus of functors, manifold calculus, homotopy theory, graph complexes. Publications: P. A. Songhafouo Tsopm\u00e9n\u00e9 and D. Stanley. Classification of polynomial functors in manifold calculus. Preprint. P. A. Songhafouo Tsopm\u00e9n\u00e9 and D. Stanley. Classification of homogeneous functors in manifold calculus. Preprint. P. A. &hellip; <a href=\"https:\/\/blogs.ubc.ca\/paultsopmene\/traditional-research\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Traditional Research&#8221;<\/span><\/a><\/p>\n","protected":false},"author":91852,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-348","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages\/348","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/users\/91852"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/comments?post=348"}],"version-history":[{"count":13,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages\/348\/revisions"}],"predecessor-version":[{"id":431,"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/pages\/348\/revisions\/431"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/paultsopmene\/wp-json\/wp\/v2\/media?parent=348"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}