I am temporary teaching and research associate (ATER) at the  École Européenne d'Ingénieurs en Génie des Matériaux, EEIGM-Université de Lorraine, France.
I was previously a teaching and research associate at INSA Rennes, France, where I completed my Ph.D supervised by Prof. Aziz Belmiloudi  and Prof. Mounir Haddou. 

My Ph.D focuses on developing strategies to treat tumor invasion through chemotherapy by optimally controlling drug dosage. We propose both deterministic and deterministic–stochastic models of tumor invasion under chemotherapy and formulate an optimal control problem with mixed control and state constraints, aiming to minimize the density of malignant tumor cells.
The control models the concentration of chemotherapeutic agents, while the state models tumor density. The control constraint aims to limit drug accumulation in healthy tissue, and the state constraint represents a temporal limitation on tumor density. We conduct several numerical simulations to compute optimal treatment strategies for breast and lung cancer using realistic and noisy data.

I am also interested in the problem of electromagnetic field propagation at the interface between classical media on the one hand and metals or meta-materials on the other. In physics, these models allow the generation and propagation of surface plasmons to be considered. The construction of well-posed models numerically and even mathematically in specific geometries  remains an open problem. A reformulation of the problem into an optimal control problem allowed us to construct a new numerical method to solve the problem without restrictive conditions at the interface and additional a priori regularity of the solution. However, this approach introduces several challenges that require further investigation.

 Interests: PDEs, Mathematical biology, Optimal control theory, State constraints, SPDEs, Numerical analysis, and Numerical simulations.