I completed a Ph.D. thesis (December 01, 2019 - June 12, 2023) in mathematics at Ibn Tofail University (Kenitra, Morocco) under the supervision of Prof. Samir Kabbaj. The thesis is titled "A study of some aspects of the space of frames, of independence, and of quasi-invariant sets" and is also filed in HAL.
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My articles:
Nizar El Idrissi. Parametrized equivalence relation on the global class of morphisms of a category and frame-theoretic examples. Preprint (pdf).
Nizar El Idrissi. Intersections of translates of finite-dimensionally valued frame spaces are conditionally slice-full and almost slice-full. Preprint (pdf).
Nizar El Idrissi and Hicham Zoubeir. Probability measure annihilating all finite-dimensional subspaces. Preprint (pdf).
Nizar El Idrissi and Hicham Zoubeir. Almost sure linear independence of absolutely continuous Hilbert space-valued random vectors with respect to a special class of Hilbert space probability measures. Boletim da Sociedade Paranaense de Matematica. Vol. 44 (January, 2026) (pdf).
Nizar El Idrissi and Hicham Zoubeir. Invertibility in partially ordered nonassociative rings. Proyecciones (Antofagasta). Vol. 44, n° 6, pp. 1010–1033 (December, 2025) (pdf).
Nizar El Idrissi and Samir Kabbaj. Functions with a maximal number of finite invariant or internally-1-quasi-invariant sets or supersets. Boletim da Sociedade Paranaense de Matemática. Vol. 42, pp. 1-21 (January, 2024) (pdf).
Nizar El Idrissi, Samir Kabbaj, and Brahim Moalige. Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold. Proyecciones (Antofagasta). Vol. 42, n°3, pp. 571-597 (June, 2023) (pdf).
Nizar El Idrissi and Samir Kabbaj. Independence, infinite dimension, and operators. Moroccan Journal of Pure and Applied Analysis. Vol. 9, n°1, pp. 86-96 (February, 2023) (pdf).
See also my profile page on ResearchGate.
Main documents produced during my studies:
My PhD thesis: "A study of some aspects of the space of frames, of independence, and of quasi-invariant sets" (June 12, 2023 / Kenitra, Morocco) (manuscript)
My Master's research project: "Minimal sums of tensor products of sequences: Bessel and frame properties" (February 20, 2019 / Kenitra, Morocco) (manuscript)
My Bachelor's project: "Morse and Floer theories: some examples" (June 21, 2016 / Kenitra, Morocco) (manuscript, slides)
My TIPE for the French Ecoles Normales Supérieures: "Covering spaces, CW-complexes and singular homology: two classical applications" (July 2014 / Paris, France) (manuscript)
Talks given as part of conferences:
(UPCOMING) "Fonctions avec un nombre maximal d’ensembles ou de sur-ensembles finis invariants ou intérieurement-1-quasi-invariants" (July 08, 2026 / Fes, Morocco) (slides), as part of the "International Conference on Harmonic Analysis and Applications (ICHAA'26), July 08-09, 2026" (website)
"A prime-number-based construction of a probability measure annihilating all finite-dimensional subspaces" (June 10, 2026 / Marrakech, Morocco) (slides), as part of the "International Conference on Function Spaces and their Innovative Applications (ICFSIA'26), June 10-12, 2026" (poster, program, abstracts book, website)
"Inversibilité dans les anneaux non-associatifs partiellement ordonnés ou semi-normés Cauchy-complets et séparés" (May 12, 2026 / Fes, Morocco) (slides), as part of the "International Days of Algebra, Geometry and their Applications, May 12-14, 2026" (program, abstracts book, website)
"Intersections of translates of finite-dimensionally valued frame spaces: conditional slice-fullness and almost-sure slice-fullness" (April 28, 2026 / Marrakech, Morocco) (slides), as part of the "International Conference on Mathematical Methods in Physics (3rd edition), April 27-30, 2026" in honor of Prof. Said Fahlaoui in the occasion of his retirement (website)
"Almost sure linear independence" (December 19, 2025 / Fes, Morocco) (slides), as part of the "National Days of Pure Mathematics and Applications, December 18-20, 2025" in honor of Prof. Mustapha Ech-Cherif El Kettani in the occasion of his retirement (program, abstracts book, website)
"Indépendance, dimension infinie et opérateurs" (November 23, 2023 / Rabat, Morocco) (slides), as part of the "The national “Ahmed Intissar” Meeting, Mathematics & Applications, November 23, 2023" (poster, program)
"Generalization of a density property of Stiefel manifolds" (October 22, 2021 / Kenitra, Morocco) (slides), as part of the "Première édition nationale de la journée doctorale de mathématiques, 22 octobre, 2021" (poster, program)
Talks given as part of seminars:
"Computing kernels of classical RKHS" (March 14, 2025 / Kenitra, Morocco) (slides), as part of the "Frame Theory" seminar for PhD students organized by Prof. Mohammed Rossafi.
"Variétés de Stiefel des n-repères" (March 07, 2025 / Kenitra, Morocco) (slides), as part of the "Frame Theory" seminar for PhD students organized by Prof. Mohammed Rossafi.
"Introduction à la théorie des frames" (December, 2019 / Kenitra, Morocco) (slides), presented in front of my supervisor, Prof. Samir Kabbaj, to check on the progress of my thesis.
"Variétés algébriques affines et fondements algébriques de la géométrie algébrique" (March 10, 2017 / Kenitra, Morocco) (slides), as part of the "Real and Differential Geometry" working group (2016-2017)
"Introduction à l'intégration motivique" (December 16, 2016 / Kenitra, Morocco) (slides), as part of the "Real and Differential Geometry" working group (2016-2017)
A few talks that I gave at the end of some attended courses:
"Fonctions de Gevrey et ultradistributions sur les groupes de Lie compacts et les espaces homogènes" (July 24, 2018 / Kenitra, Morocco) (slides)
"Théorème du plus haut poids" (May, 2028 / Kénitra, Morocco) (no slides prepared).
"Théorème de Stone sur les groupes à un paramètre unitaires fortement continus" (March 09, 2018 / Kenitra, Morocco) (slides)
Quiz-math website project:
Quiz-math is an interactive application designed to make learning mathematics more motivating, dynamic, and accessible. Primarily aimed at French-speaking undergraduate and graduate students, it offers tailored quizzes that promote effective, fun, and targeted review. Each quiz consists of five randomly generated questions, each designed to stimulate critical thinking and reinforce understanding of key concepts.
The website is accessible at: https://quiz-math-xi.vercel.app/
Contact:
nizar.elidrissi (at) uit.ac.ma
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