Paul Arnaud SONGHAFOUO TSOPMÉNÉ

Postdoctoral Fellow


Address:

Department of Mathematics and Statistics

University of Regina

Regina, Saskatchewan, Canada

S4S 0A2

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

Office: College West 307.28


Education:

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):

Published:

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: https://doi.org/10.1515/forum-2016-0192, 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

 

Preprints/Submitted:

 

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


Teaching:

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.


CV:

For more information, please see my CV.