Curriculum Vitae

Current position

Post-Doc Student at the University Assane Seck of Ziguinchor, Senegal..

Graduate studies

• • January 2020: Ph.D in Mathematics and its Applications - thesis defended at UASZ (SENEGAL).

    • Topic: Topology of real algebraic curves and projection of real analytic surfaces .

    • Domains of interest: Real Algebraic Geometry - Computer Algebra - Real and Complex Differential Geometry.

    • Supervisors:

      • Daouda Niang DIATTA, Teacher and Researcher at UASZ

      • Guillaume MOROZ, Researcher at INRIA

      • Marie-Françoise ROY, Professor Emeritus of Mathematics at University of Rennes1 (France).

    • Abstract: The topic of this thesis is related to algorithmic geometry. We focus on the problem to built algorithms that give an actuel representation of the topology for a geometric sets defined implicitly. We got two main results : The fisrt one deals with the real agebraic curve. Given a curve V_R(P) defined as the zero set of a square free polynomial P ∈ Z[X,Y] of ma- gnitude (d,τ), our algorithm compute straight planar graph isotopic to V_R(P) using only O ^̃(d⁵τ + d⁶) bit operations and without putting the curve in generic position. Note that, [Mehlhorn et al.(2013)Mehlhorn, Sagraloff, and Wang] deal with the same problem, but their algorithm stars by a random process to get a generic position of the curve. The second main result of this thesis is an algorithm that compute the graph of singularites of a real analytic surface Ω ⊂ R³. Let M be a surface in R⁴ defined as the intersection of two hypersurfaces, Ω is then defined as the image of M by the canonique projection from R⁴ to R³. Usually, the surface Ω is not smooth. We give an algorithm that compute a graph isotopic to the set of singularities of Ω, which is a required to reconstruct the whole topology of Ω.

  • 2014: Master degree of Mathematics and Applications at UASZ.

    • Topic: Traces of pluriharmonic functions.

    • Master's supervisor: Professor Marie-Salomon Sambou.

    • Abstract: In this work, I study the problem of extension of pluriharmonic functions defined on two connected components of a complex analytic variety divided by a real oriented hypersurface. More rigorously, it corresponds to characterize, in terms of tangential linear operators on a real oriented hypersurface M, the distributions which are jumps, in the sense of currents, of pluriharmonic functions in (X>0) and (X<0); where X is a complex analytic variety X divided by M.

  • 2011: Bachelor of Mathematics at UASZ.

  • 2007: Scientific Baccalaureate.

Scientific activities

• • EJCIM 2018.

  • JNCF 2018.

  • PhD students's talks for the team GAMBLE of Loria-INRIA Nancy-Grand Est (France).

  • JNCF 2017.

  • PhD visitor at the GAMBLE research team of Loria-INRIA Nancy-Grand Est (France) in 2016.

  • "Thematic Program on Computer Algebra" 2015 at Fields Institute of Toronto (Canada).

  • African Mathematics school took place at March 2015 in Ziguinchor (Senegal).

  • CIMPA school took place at May 2014 in Mbour (Senegal).

Teachings

• • Since 2018: Teacher-researcher in mathematics at UASZ (non permanent position).

  • 2017-2018: Teaching assistant at FST of UL.

  • 2014-2015: Teaching assistant at UASZ.

  • 2009-2013: Private lessons in Mathematics, Physics and Chemistry for students in high schools and colleges.

Informatics

• • Programming: Pascal, C, Python

  • Softwares: Sage, Maple, MATLAB, Latex, Word, Excel

Languages

• • Diola, Wolof (bilingual proficiency), French and English.