Curriculum Vitae
Faculty of Mathematics · USTHB · Algiers, Algeria
Education
2025
Master in Epistemology and History of Science and Technology
University of Lorraine, France
The Master was not completed for personal reasons.
2020
Accreditation to Supervise Research
Faculty of Mathematics, USTHB, Algiers
2018
Lecturer Qualification in Mathematics (S.25)
Ministry of Higher Education, Research and Innovation, France
2016
PhD in Mathematics
University of Bordeaux, France · Joint supervision with USTHB
Thesis:
Coupled systems morphogenesis and self-organization
in biological systems.
Advisor:
Philippe Thieullen, Professor at Bordeaux University.
2009
PhD in Operations Research
USTHB, Algiers
Title: Pascal's Triangle.
Advisor:
Belbachir Hacene, Professor at USTHB.
The thesis was not completed for personal reasons.
2007
Magister in Mathematics
USTHB, Algiers
Title:
Dynamic of uniformly expanding maps.
Advisors:
A. Kessi (USTHB) and A. Amroun (Orsay University, France).
Keywords:
Ergodic theory, Hyperbolic systems,
Spectral theory, Functional analysis.
2004
Master Degree in Algebra — First Class Honors
Faculty of Mathematics, USTHB
Academic Experience
2019–Present
Associate Professor of Mathematics
USTHB, Algiers, Algeria
Permanent position.
2009–2019
Lecturer in Mathematics
University of Médéa, Algeria
Permanent position. Detached from October 1, 2013
to September 30, 2015 to the Preparatory School
for Engineering Studies, Algiers.
Teaching & Supervision
Undergraduate Teaching
- Analysis
- Topology
- Algebra
- Differential Equations
- Probability and Statistics
- Complex Analysis
PhD Supervision
2026 — Co-supervisor
Ms. Rosa Bedjou, jointly supervised with
Prof. Philippe Thieullen.
Thesis:
Machine Learning through Synchronization
of Coupled Oscillators.
Research
Publications
(2024)
Exponential stable manifold for the synchronized state
of the abstract mean field system.
Journal of Applied Nonlinear Dynamics,
Vol. 14, No. 1, 2025.
(2023)
Ordinary differential equations defined by a trigonometric
polynomial field: Behaviour of the solutions.
Dynamical Systems Journal.
(2018)
With Ph. Thieullen and A. Kessi.
Invariant cone and synchronization state stability
of the mean field models.
Dynamical Systems Journal.
(2017)
With A. Kessi and Ph. Thieullen.
Synchronization hypothesis in the Winfree model.
Dynamical Systems Journal.
Submitted Papers
(2026)
Mellin transform through Euler differential equation
and Volterra integral equation.
(2026)
When Periodicity Fails to Guarantee the Existence of Rotation:
A Counterexample on the 3-Torus with a Nilpotent Linearization.
(2025)
Bounded solutions of a complex differential equation
arising from the Riemann zeta function.
(2026)
Rigidity and Structural Asymmetry of Bounded Solutions.
Working Papers
-
Euler products from abstract prime systems and rigidity
-
Rigidity and Spectral Asymmetry for Operators in Linear Dynamics
-
On a Rigidity Equality for Bounded Solutions:
Request for Counterexamples
-
Holomorphic Wronskian for abstract rigidity inequalities
-
Synchronization in abstract mean field models
-
Note on the failure of the strong rotation property
for smooth fields with infinite spectrum
-
A technical note on the arithmetic cone of smooth
periodic vector fields
Oral Presentations
2016
SIMBAD
Seminar of Mathematical Biology and Applications,
Paris, France.
2017
GDR AFHP Day
October 9–11, 2017, Bordeaux, France.
2017
AquiDOC
Joint Supervision Thesis Day,
October 19, 2017, Bordeaux, France.
2018
CMA'2018
Invariant cone and stability.
Congress of Algerian Mathematicians,
May 12–13, 2018, Boumerdès, Algeria.
Other Activities
-
Organizer of EMA School, Algeria,
July 10–22.
-
Principal Coordinator of a PICS
project (Algeria–France):
Collective dynamics, coupled systems and applications
(2018–2021).
-
Member of the
KAM faible au-delà de Hamilton-Jacobi
project, France (ended in 2016).