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 Tsopméné and D. Stanley. Classification of polynomial functors in manifold calculus. Preprint.
- P. A. Songhafouo Tsopméné and D. Stanley. Classification of homogeneous functors in manifold calculus. Preprint.
- P. A. Songhafouo Tsopméné and D. Stanley. Very good homogeneous functors in manifold calculus. Colloquium Mathematicum 158 (2019), no. 2, 265-297. Preprint.
- P. A. Songhafouo Tsopméné and D. Stanley. Polynomial functors in manifold calculus. Topology Appl. 248 (2018), 75-116. Preprint.
- P. A. Songhafouo Tsopméné and V. Turchin. Rational homology and homotopy of high dimensional string links. Forum Math. 30 (2018), no. 5, 1209-1235. Preprint.
- P. A. Songhafouo Tsopméné and V. Turchin. Euler characteristics for spaces of string links and the modular envelope of L_∞. Homology Homotopy Appl. 20 (2018), no. 2, 115-144. Preprint.
- P. A. Songhafouo Tsopméné. Symmetric multiplicative formality of the Kontsevich operad. J. Homotopy Relat. Struct. 13 (2018), no. 1, 225-235. Preprint.
- P. A. Songhafouo Tsopméné. The rational homology of spaces of long links. Algebr. Geom. Topol. 16 (2016), no. 2, 757-782. Preprint.
- P. A. Songhafouo Tsopméné. McClure-Smith cosimplicial machinery and the cacti operad. Topology Appl. 193 (2015), 31-50. Preprint.
- P. A. Songhafouo Tsopméné. Formality of Sinha’s cosimplicial model for long knots spaces and the Gerstenhaber algebra structure of homology. Algebr. Geom. Topol. 13 (2013), no. 4, 2193-2205. Preprint.
-
Invited Conference Presentations:
-
-
- Connection between embeddings and combinatorics. Workshop on Polyhedral Products in Homotopy Theory, Fields Institute, Toronto, Jan 2020.
-
Invited Seminars, Colloquia, and Workshops Presentations:
-
-
- Connection between embeddings and combinatorics. Symplectic Seminar, University of Toronto, Jan 2020.
- Connection between embeddings and combinatorics, Colloquium, University of Regina, Jan 2020.
- Cosimplicial models for manifold calculus. Workshop on Functor Calculus, Ohio State University, Mar 2019.
- Manifold calculus of functors. University of Louisiana at Lafayette Topology Seminar, Feb 2019.
- Cosimplicial models for manifold calculus. CMS Meeting, Topology session, Vancouver, Dec 2018.
- Manifold calculus. Kansas State University Topology Seminar, Nov 2018.
- Classification of very good homogeneous functors. University of Victoria Topology Seminar, Apr 2017.
- Cosimplicial models for manifolds calculus. University of Oregon Topology Seminar, Feb 2017.
- Goodwillie-Weiss Manifold Calculus and Applications. Colloquium, University of Regina, Oct 2016.
- E_n-operads and spaces of embeddings. Mini Course, Summer School on Rational Homotopy Theory and its Interactions,
University of Rabat, Morocco, Jul 2016. - Hodge decomposition in the homology of high string links. University of Paris 13 Topology Seminar, Apr 2015.
- Gerstenhaber algebra structure in the homology of the space of long knots. Colloquium, Kansas State University, Jan 2015.
- Cosimplicial models for spaces of embeddings. University of Haifa Topology Seminar, Dec 2014.
- Goodwillie-Weiss calculus: spaces of embeddings. Mini Course, Hebrew University of Jerusalem, Dec 2014.
- Cosimplicial models for spaces of embeddings. EPFL Topology Seminar, Nov 2014.
- Multiplicative formality of the Kontsevich operad and Gerstenhaber algebras. University of Lille 1 Topology Seminar, Jun 2013.
-
Other Presentations:
-
-
- Euler characteristics for spaces of string links and the modular envelope of L_{∞}. Workshop on Arithmetic Topology, University of British Columbia (UBC), Jun 2019.
- Manifold calculus. Saskatchewan Topology Meeting, University of Regina, Jul 2018.
- Classification of homogeneous functors in manifold calculus. Conference on Graph Complexes, Configuration Spaces and Manifold Calculus, UBC, May 2018.
- Generalization of Goodwillie-Weiss manifold calculus. Galapagos Conference, Topology Ecuador 2017, Aug 2017.
- Very good homogeneous functors in manifold calculus. PIMS YRC, University of Saskatchewan, Jun 2017.
- The rational homology of spaces of long links. Conference on Manifolds, K-Theory, and Related Topics, Dubrovnik, Jun 2014.
- Formalité multiplicative de l’opérade de Kontsevich et structure d’algèbre de Gerstenhaber. Colloque 2013 du GDR 2875, Topologie Alg\’ebrique et Applications, University of Angers, Oct 2013.
- Sullivan’s minimal model. Symposium on the rational homotopy theory, University of Nice and Sophia-Antipolis, Dec 2012.
- Multiplicative operads up to homotopy. Young Topologists Meeting, University of Copenhagen, Jul 2012.
- Little n-cubes operads, Poisson algebra and long knots. Young Topologists Meeting, EPFL, Jun 2011.
- Homotopy limits and colimits. University of Regina, Nov 2019.
- Simplicial model categories. University of Regina, Oct 2019.
- Simplicial categories and the hammock localization. University of Regina, Oct 2019.
- Derivatives of functors in manifold calculus. University of Regina, Apr 2019.
- Operads and chain rules for the calculus of functors, Part 2. University of Regina, Feb 2019.
- Operads and chain rules for the calculus of functors. University of Regina, Jan 2019.
- Cosimplicial models for manifold calculus. University of Regina, Dec 2018.
- Bar constructions for topological operads and the Goodwillie derivatives of the identity, Part II. University of Regina, Oct 2018.
- Bar Constructions for topological operads and the Goodwillie derivatives of the identity. University of Regina, Oct 2018.
-