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. The topology of finite and infinite-dimensional Stiefel manifolds. Preprint.
Click here to download the pdf.Nizar El Idrissi. Parametrized equivalence relation on the global class of morphisms of a category and frame-theoretic examples. Preprint.
Click here to download the pdf.Nizar El Idrissi. Intersections of translates of finite-dimensionally valued frame spaces are conditionally slice-full and almost slice-full. Preprint.
Click here to download the pdf.Nizar El Idrissi. Frames generated by the functional calculus and function frames of a normal operator. Preprint.
Click here to download the pdf.Nizar El Idrissi and Hicham Zoubeir. Two Hornich-Hlawka-type and Gram matrix-based inequalities. Preprint.
Click here to download the pdf.Nizar El Idrissi and Hicham Zoubeir. Probability measure annihilating all finite-dimensional subspaces. Preprint.
Click here to download the 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).
Click here to download the pdf.Nizar El Idrissi and Hicham Zoubeir. Invertibility in partially ordered nonassociative rings. Proyecciones (Antofagasta). Vol. 44, n° 6, pp. 1010–1033 (December, 2025).
Click here to download the 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).
Click here to download the 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).
Click here to download the 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).
Click here to download the 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)
Some of my talks:
"Almost sure linear independence" (December 19, 2025 / Fes, Morocco) (slides), as part of the "National Days of Pure Mathematics and Applications" in honor of Prof. Mustapha Ech-Cherif El Kettani in the occasion of his retirement (program, abstracts book, website)
"Computing kernels of classical RKHSs" (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.
"Indépendance, dimension infinie et opérateurs" (November 23, 2023 / Rabat, Morocco) (slides), as part of the "The national “Ahmed Intissar” Meeting, Mathematics & Applications" (affiche, planning)
"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" (affiche, programme)
"Fonctions de Gevrey et ultradistributions sur les groupes de Lie compacts et les espaces homogènes" (July 24, 2018 / Kenitra, Morocco) (slides)
"Théorème de Stone sur les groupes à un paramètre unitaires fortement continus" (March 09, 2018 / Kenitra, Morocco) (slides)
"Introduction à l'intégration motivique" (December 16, 2016 / Kenitra, Morocco) (slides), as part of the "Real and Differential Geometry" working group (2016-2017)
"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)
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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