Thomas Bouetou Bouetou is a Full Professor at the UNIVERSITY OF YAOUNDE I, Yaounde, Cameroon. He was hosted by Professor Emmanuel Ullmo at the Institut des Hautes Études Scientifiques, Université Paris-Saclay, France during the period 2017-08-15 - 2017-09-15. The research project focused on manifolds, groups and simply con-nected algebras. The aspects of interest were the following ones: A differential operator will be considered as generators of a ring in the space of the functions on the manifolds of the jets. His report in French can be found here.

Mamadou Diop is an Assistant professor in applied mathematics at the UFR SAT, Université Gaston Berger, Saint-Louis, Sénégal. He was hosted by Professor Khalil Ezzinbi at the Université Cadi Ayyad, Marrakesh, Marocco during the period 2017-09-01 - 2017-11-01. During his stay, he worked on stochastic evolution equations and related topics. The report can be found here.

Babacar Mbaye Ndiaye** **is a Professor in Applied Mathematics at the Cheikh Anta Diop University, Dakar, Senegal. He was hosted by Professor Wilfrid D. Gangbo at the University of California at Los Angeles, USA during the period 2017-11-06 - 2017-12-17. His research focused on the numerical resolutions of optimization problems for mass transport problems. His report can be found here.

Frederic D. Y Zongo is a Lecturer at the Dept. des Sciences Exactes, Institut Des Sciences, Ouagadougou, Burkina Faso. He was hosted by Professor Michael Melgaard at the School of Mathematical and Physical Sciences, University of Sussex, Great Britain during the period 2017-09-01 - 2017-10-04. The aim of this project was to deepen the study of Perturbation methods in critical point theory with applications to relativistic electronic structure models. The report can be found here.

Surafel Tilahun is a Lecturer at the Computational Science program, Addis Ababa University, Ethiopia. He was hosted by Professor Mohamed Tawhid at the Thompson Rivers University, Canada during the period 15.06.2017 - 15.07.2017. His research topic involved the theory of slice hyperholomorphic functions and Clifford analysis. The main objective of this research was to discuss the conditions of convergence of swarm intelligence. Based on the properties of the search space and search parameters a definition on -convergence, showing the existence of a natural number N for which the distance between the optimal solution and the archived solution by the algorithm will be less than, will be given and proofed. Geometric and functional properties of the problem as well as the algorithm were used for these purposes. The report can be found here.

Surafel Tilahun has also published the article *Swarm Hyperheuristic Framework* in the *Journal of Heuristics *(Springer) as a result of his research trip.

Yaogan Mensah is an Associate Professor of Mathematics at the University of Lomé, Department of Mathematics, Togo. He was hosted by Professor Hartmut Führ at the RWTH Aachen, Germany during the period 2017-09-01 - 2017-09-30. The aims of this project were to deepen the study of the multipliers for two algebras and to characterize their multipliers by means of the Gelfand transform and the generalized Gelfand transform respectively. For his report go here.

Yaogan Mensah has also published the article "*Multipliers on Weighted Group Algebras*" in the *Gulf Journal of Mathematics* as a result of his research trip.

Allal Ghanmi is a Professor (Habilité) of Mathematics at the Mohammed V University in Rabat, Department of Mathematics, Morocco. He was hosted by Professor Irene Maria Sabadini at the Politecnico di Milano, Milan, Italy during the period 2017-05-01 - 2017-07-30. His research topic involved the theory of slice hyperholomorphic functions and Clifford analysis. He explored the two dimensional Bargmann-Fock space connected to the slice hyperholomorphic one, a quaternionic analogue of the second Bargmann transform and the Segal-Bargmann transform in slice and Cliord Analysis. His report can be found here.

Allal Ghanmi has also published the articles:

-Analytic and arithmetic properties of the (Γ,χ)-automorphic reproducing kernel function and associated Hermite-Gauss series.

-The slice hyperholomorphic Bergman space on BR: integral representation and asymptotic behavior.

-Mehler's formulas for the univariate complex Hermite polynomials and applications.

-On concrete spectral properties of a twisted Laplacian associated with a central extension of the real Heisenberg group.

Imen Manoubi is an Assistant Professor at the Superior Institute of Applied Sciences and Technology Of Gabès (ISSATG), University Of Gabès, Tunisia. She was hosted by Professor Serge Dumont at the Institut Montpelliérain Alexander Grothendieck (IMAG) Montpellier, France during the period 2017-06-21 - 2017-07-19. Her research topic involved the interface of mathematical modeling and numerics. She has worked with Professor Dumont on the asymptotical behavior of a water wave model with a nonlocal viscous term of Riemann-Liouville type written in the BBM form. The report can be found here.

Imen Manoubi has also published the article "*Numerical Solutions to a BBM-Burgers Model with a Nonlocal Viscous Term*" in the *Journal Numerical Methods for Partial Differential Equations* as a result of her research trip.

Elias Offen is a senior lecturer at the University of Botswana, Faculty of Science, Mathematics Department Gaborone, Botswana. He was hosted by Professor Jan Dhaene at the University of Leuven-KU, Leuven, Belgium during the period 2017-06-01 - 2017-07-31. His research topic involved Minimal Entropy Martingale Measure in a Market of traded Financial and Actuarial risk. He explored the implication of default risk for valuation of securities in an abstract setting. His report can be found here.

Ibrahim Adamou is an Assistant Professor at the Université Dan Dicko Dankoulodo de Maradi, Faculté des Sciences et Techniques, Mathematics Department, Niger. He was hosted by Professor Bernard Mourrain at the INRIA (Institut National de Recherche en Informatique et en Automatique), Sophia Antipolis Méditerranée, France during the period 2018-01-31 - 2018-03-29. During the visit he continued to work on the implementation of the algorithms for the computation of the Voronoi diagram of a family of parallel half-lines. He also participated in the activities of the AROMATH (AlgebRa, geOmetry, Modeling and AlgoriTHms) team. His report can be found here.

Mohamed Abouhawwash is a Professor at the Mansoura University, Mathematics Department, Egypt. He was hosted by Professor Dr. Mohamed Tawhid at the Thompson Rivers University, Kamloops, Canada during the period 29.07.2018 – 28.12.2018. During the visit his research topic was "Highly Flexible Evolutionary Multi-Objective Optimization Algorithm and Its Applications". Together with Prof. Tawhid he worked to find a set of well-converged trade-off solutions and well-diversified solutions across the entire efficient front. His report can be found here.

Remi Cocou Avohou is a Assistant Professor at Ecole Normale Supérieure of Natitingou, Natitingou, Benin. He was hosted by Prof. Vyacheslav Futorny at the University of São Paulo, Brazil during the period 2018-03-01 - 2018-04-30. His research topic was Graph Theory and together with Prof. Futorny worked to construct a new class of symmetric algebras of tame representation type using the arbitrary rank n colored tensor graphs.

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