Postdoctoral Fellow


Department of Mathematics and Statistics

University of Regina

Regina, Saskatchewan, Canada

S4S 0A2

Email: Paul.Arnaud.Songhafouo.Tsopmene(at) or just pso748(at)

Office: College West 307.28


M.Sc. Mathematics 2008 Université de Yaoundé I

Ph.D. Mathematics 2014 Université catholique de Louvain. See my PhD thesis here.

Research Interests:

My research interests lie in algebraic topology, with a focus on embeddings. I have been applying calculus of functors to study various spaces of embeddings,
including spaces of knots and links. I have been also developing the general theory of manifold calculus of functors. 

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

Publications (For the work in progress, see my CV below):


1. (with D. Stanley) Very good homogeneous functors in manifold calculus, Colloquium Mathematicum, 158 (2019), no. 2, 265-297. arXiv


2. (with D. Stanley) Polynomial functors in manifold calculus, Topology Appl. 248 (2018), 75-116. arXiv


3. (with V. Turchin) Euler characteristics for spaces of string links and the modular envelope of , Homology Homotopy Appl. 20 (2018), no. 2, 115-144. arXiv


4. (with V. Turchin) Rational homology and homotopy of high dimensional string links, Forum Math. 30 (2018), no. 5, 1209-1235. DOI:, arXiv


5. Symmetric multiplicative formality of the Kontsevich operad, J. Homotopy Relat. Struct. 13 (2018), no. 1, 225-235. arXiv


6. The rational homology of spaces of long links, Algebr. Geom. Topol. 16 (2016), no. 2, 757–782. arXiv


7. McClure-Smith cosimplicial machinery and the cacti operad, Topology Appl. 193 (2015), 31-50. arXiv


8. 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. arXiv, PDF




9. (with D. Stanley) Classification of homogeneous functors in manifold calculus, Submitted. arXiv


10. (with D. Stanley) Classification of polynomial functors in manifold calculus, Part I, Preprint. 2019. arXiv


Fall 2019   MATH 103 (Applied Calculus I), 35 students, University of Regina. I typed a Laboratory Manual including detailed solutions to exercises

Winter 2018   MATH 110 (Calculus I), 102 students, University of Regina. For this course I wrote a Laboratory Manual including detailed solutions to exercises

Fall 2017 (Algebraic Topology) with D. Stanley, 22 students, AIMS-Cameroon.

Winter 2017 MATH 842 (Algebraic Topology), 5 students, University of Regina. For this course I typed my notes. 

My CV (below) contains a list of all the courses I have been teaching.

Teaching Evaluations, see Teaching Evaluations. 

Student Supervision:

·         Peguy Kem-Meka Tiotsop Kadzue (AIMS-Cameroon), Master I in Mathematics (2019). Title: Mayer-Vietoris sequences.

·         Ilyas Aderogba Mustapha (AIMS-Cameroon), Master I in Mathematics (2018), co-supervised by Donald Stanley. Title: The Fundamental Group of Torus Knots.

·         Arnaud Ngopnang Ngompé (AIMS-Cameroon), Master I in Mathematics (2018), co-supervised by Donald Stanley. Title: Applications of the Fundamental Group to Cell Complexes.


For more information, please see my CV.