Traditional Research

Area of special interest: algebraic topology

Keywords: spaces of embeddings, knots, links, operads, calculus of functors, manifold calculus, homotopy theory, graph complexes.

Publications:

      1. P. A. Songhafouo Tsopméné and D. Stanley. Classification of polynomial functors in manifold calculus. Preprint.
      2. P. A. Songhafouo Tsopméné and D. Stanley. Classification of homogeneous functors in manifold calculus. Preprint.
      3. P. A. Songhafouo Tsopméné and D. Stanley. Very good homogeneous functors in manifold calculus. Colloquium Mathematicum 158 (2019), no. 2, 265-297. Preprint.
      4. P. A. Songhafouo Tsopméné and D. Stanley. Polynomial functors in manifold calculus. Topology Appl. 248 (2018), 75-116. Preprint.
      5. 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.
      6. 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.
      7. P. A. Songhafouo Tsopméné. Symmetric multiplicative formality of the Kontsevich operad. J. Homotopy Relat. Struct. 13 (2018), no. 1, 225-235. Preprint.
      8. P. A. Songhafouo Tsopméné. The rational homology of spaces of long links. Algebr. Geom. Topol. 16 (2016), no. 2, 757-782. Preprint.
      9. P. A. Songhafouo Tsopméné. McClure-Smith cosimplicial machinery and the cacti operad. Topology Appl. 193 (2015), 31-50. Preprint.
      10. 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.

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