NLAGA PhD Students

1. Mr. Mouhamadou Alpha DIALLO

Mr. DIALLO PhD Student in Mathematics and Applications at the University Cheikh Anta Diop of Dakar.
Scientific Interests : I'm working on the existence of mild solution of impulsive integrodiffetential equations in Banach spaces under the supervision of K. EZINBI (University Cadi Ayyad, Marocco) and A. SENE (University Cheikh Anta Diop, Dakar). My objective is to study the controllabilty of a class of integrodifferential equation in Banach space. I'm trying to specify the conditions of existence and regularity of abstract problems considered. My main objective is to establish sufficient conditions for controllability problems to be studied.

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2. Mr. B. Don Bosco DIATTA

Mr. DIATTA, PhD Student in Mathematics and Applications at the University Cheikh Anta Diop of Dakar.
Scientific Interests :  I'm working on "strategies for selection of algorithms stochastic simulation from measurements of generalized divergence and positive matrix factorization" under the supervision of P. NGOM  (University Cheikh Anta Diop, Dakar) and O. FRANÇOIS (University Joseph Fourier, France).

In many application areas (population genetics, biology, agronomy, ...) description data associated with spatial correlations is a crucial problem. The method often used is based on statistical models that estimate the parameters based on stochastic simulation algorithms whose performance can be expensive in computation time .. Choosing the best algorithm then remains a major challenge. My objective is to propose stochastic algorithms and methods for model selection (D. Chauveau, P. Vandekerkhove, 2008). 

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3. Mr. Seydina Issa DIONE

Mr. DIONE, PhD Student in Mathematics and Applications at the University Cheikh Anta Diop of Dakar.
Scientific Interests : I'm working on optimization of portofolio in BRVM, the financial market of the west African economic union under the supervision of S. G. DIAGNE ( University Cheikh Anta Diop of Dakar).
The objective is to use the neural network in a market not so deep in term of exchanges and assets but with a great future. My main objective is to produce a model which could help to describe the market activity in this area.

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4. Mr. Ibrahima HAMIDINE

 Mr. HAMIDINE, PhD Student in Mathematics and Applications at the University Assane Seck of Ziguinchor.
Scientific Interests : Je travaille sur les "outils courantiels en théorie de l'intersection et de la division aspects complexes versus aspects tropicaux", sous la direction de M. S. SAMBOU (Université Assane Seck de Ziguinchor) et A. YGER (Université de Bordeaux 1). 
L’un des objectifs de ma thèse est de développer les méthodes d’inspiration analytique (et plus précisément courantielles) fournissant des preuves effectives des théorèmes du type Briançon-Skoda ou Artin-Rees dans le cadre des anneaux locaux réguliers ou singuliers (sur les variétés analytiques complexes ou les espaces analytiques). Il s’agira, d’une part, de prolonger les résultats existants, ayant fait l’objet de la toute récente thèse soutenue à Göteborg en Mai 2012 par Jacob Sznajdman. D’autre part, d’envisager des conséquences de cette approche sous l’angle global, en particulier dans le cadre arithmétique (théorème de Briançon-Skoda arithmétique, en relation avec la transcription dans le cadre des courants résiduels du procédé de Stückrad Vogel). Un second objectif sera de confronter ces diverses approches concernant la multiplication des courants d’intégration ou des courants résiduels aux travaux récents reposant sur la transcription de ces diverses méthodes au cadre non archimédien des espaces analytiques au sens de Berkovich (voir en particulier le tout récent travail de A. Chambert-Loir et A. Ducros).
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5. Mr. Seny DIATTA

Mr. DIATTA, PhD Student in Mathematics and Applications at the University Assane Seck of Ziguinchor.
Scientific Interests. I'm working on "The certified computation of the topology of real algebraic curves and surfaces" under the supervision of M-F ROY (University Rennes 1, France), D. N. DIATTA (University Assane Seck of Ziguinchor, Senegal) and G. MOROZ (INRIA Nancy, France). The certified computation of the topology of a plane algebraic curve given by its implicit  equation is one of the most studied problems in the field of algorithmic algebraic geometry and its complexity is now well understood. But the work on space curves and surfaces are much less numerous. My objective is to improve the algorithms for computing the topology of space curves and surfaces both from the point of view of their theoretical complexity and programming. My work will be based on recent results concerning the topology of plane algebraic curves.
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6. Mr. Alassane NIANG

Mr. NIANG, PhD Student in Mathematics and Applications at the University Cheikh Anta Diop of Dakar. 
Scientific Interests. I'm working on "Geometric analysis of optimal forms and non local operators." under the supervision of D. SECK (Cheikh Anta Diop of Dakar), M. Fall (African Institute for Mathematical Sciences, Mbour). My objective is to revisit the calculus of variations of shapes, with non local operators. Questions of existence of minimizer of optimality conditions, and geometric properties of shapes are the main concerns.

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7. Mr. Mamadou BIRBA 
Mr. Birba is working on "Controllability of a Cascade System of Nonlinear Convective Heat Equations." His Ph.D thesis subject is related to the Task 3. He is at the University of Ouagadougou (Burkina Faso). He is supervised by Pr. Oumar TRAORÉ (University of Ouaga II, Burkina Faso).