You can download my CV (.pdf).

Education

• 2019-2022: PhD in Applied Mathematics, University of Haute-Alsace, France, under the supervision of Pr. Z. Belhachmi (.pdf)
• 2016-2018: Master in Modeling and Applied Mathematics, University of Rouen, France and University of Augsburg, Germany (.pdf, .py)
• 2015-2016: 1st Year of Engineering School, École nationale Supérieure en Informatique, Systèmes Avancés et Réseaux, France
• 2013-2015: DEUG of Mathematics "Prépa Écoles Ingénieurs", University of Avignon, France
• 2010-2013: Baccalauréat Scientifique, Lycée de l'Arc, France

Publications

• Zakaria Belhachmi and Thomas Jacumin. “Adjoint Method in PDE-Based Image Compression.” Asymptotic Analysis, October 7, 2024, 1–28. doi: 10.3233/ASY-241944.
• Zakaria Belhachmi and Thomas Jacumin. “Optimal interpolation data for PDE-based compression of images with noise”. en. In: Communications in Nonlinear Science and Numerical Simulation 109 (June 2022), p. 106278. issn: 1007-5704. doi: 10.1016/j.cnsns.2022.106278.

Preprints

• Zakaria Belhachmi and Thomas Jacumin. Optimal Transport Model of Optical Flow Estimation: Constant and Varying Illumination Cases. hal:04829141. Dec. 2024. hal: hal-04829141.
• Thomas Jacumin and Andreas Langer. An Adaptive Finite Difference Method for Total Variation Minimization. arXiv:2410.13608. Oct. 2024. doi: 10.48550/arXiv.2410.13608 (Submitted).
• Zakaria Belhachmi and Thomas Jacumin. Iterative Approach to Image Compression with Noise : Optimizing Spatial and Tonal Data. arXiv:2209.14706. Sept. 2022. doi: 10.48550/arXiv.2209.14706.

Communications

• November 2024: An Adaptive Finite Difference Method for Total Variation Minimization, Seminar, University of Lund, Sweden
• January 2024: Modèle Transport Optimal pour la Formulation du Flot Optique, ANR SOCOT, University of Haute-Alsace, France (website)
• July 2023: Méthodes Adaptatives pour les Problèmes de Discontinuité, MAThEOR Days, University of Strasbourg, France (website, .pdf)
• October 2022: Mini-symposium - Inverse problems and shape optimization, PICOF22, University of Caen, France (website, .pdf)
• June 2022: PhD Seminar, IRIMAS, University of Haute-Alsace, France (.pdf)
• December 2021: Poster - Calculus of Variations Colloquium, University of Nancy, France (website, .pdf)

Other Communications

• June 2022: PhD Day - "Ma thèse en 180 secondes" format, University of Haute-Alsace, France (.pdf)

Experiences

• 2023-2025: Postdoc in Applied Mathematics, University of Lund, Sweden, under the supervision of Dr. A. Langer (homepage)
• July-August 2016: Internship, Boxmyjob, France (Taleez.com's back-office development)

Teaching

• March-June 2024: Bachelor Thesis Supervision, Adaptive Finite Differences Method, University of Lund, Sweden
• April-May 2022: M1 Project Supervision, Image Compression by Image Inpainting, University of Haute-Alsace, France (.pdf)

Work Groups

• November 2022: Benamou-Brenier Formula, Work group - Optimal Transport, University of Haute-Alsace, France (website, .pdf, .ipynb, .ggb)
• March 2022: C-transforms, Work group - Optimal Transport, University of Haute-Alsace, France (website, .pdf)

Attended Summer Schools

• July 2023: Summer school on Numerical Analysis of nonlinear PDEs, University of Leipzig, Germany (website)

Skills

• French: Native
• English: Good
• German, Japanese: Notions
• IT Tools: python, SageMath, MATLAB, freefem++, Latex, C, C++, Java, VHDL

Other Experiences

• August 2022: PhD Seminar Organization, Website Development, IRIMAS, University of Haute-Alsace, France (git)
• June-July 2022: Colloquium Organization, Website Development, IRIMAS, University of Haute-Alsace, France (website)
• June 2022: Event Organization, Music day, University of Haute-Alsace, France
• September 2021: AMIES Challenge, Trajectories Reconstruction, Eurecam