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université du Bururndi
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Professeur. Aboubacar NIBIRANTIZA

University : University of Burundi
Faculty : Institute of Applied Pedagogy (IPA)
Research Center : Centre Universitaire de Recherche et de Pedagogie Appliquees aux Sciences(CURPAS) /Laboratoire des Sciences Exactes et Appliquees (LSEA)


Doctor of Science with a specialization in Mathematics, academic degree obtained on July 23, 2014 at the University of Liège (Belgium).
Professor/Researcher in the Department of Mathematics at the Institute of Applied Pedagogy, University of Burundi (Bujumbura).
Appointed Professor in April 2020 by a ministerial decree of Burundi.
Recipient of the Simons–IMU Africa Fellowship in 2021.
Researcher in the fields of equivariant and geometric quantization, information geometry (statistical manifolds), representation theory of Lie groups/Lie algebras, and homogeneous spaces.
Recognized internationally through his IMU–Simons fellowship and collaborates with institutions in Europe (such as the Institut Fourier in France).
A key contributor to training and teaching activities, particularly in bachelor’s and master’s programs in Science in Burundi.
📘 Syllabus du cours d'Algèbre commutative
📅 Published on 2025-11-22 16:06:15
📘 Syllabus de Theorie des groupes
📅 Published on 2026-01-30 10:50:18
📘 Syllabus de Geometrie II
📅 Published on 2026-01-30 11:04:21
📘 Programmation par la pratique
📅 Published on 2026-05-11 10:51:25
📘 Syllabus du cours de Théorie des fibrés
📅 Published on 2026-05-17 07:56:53
📄 In this paper,we compute the invariant geometry of the statistical manifold of the normal distributions by using the divergence approach. In order to give the isometries, we investigate the component functions of a Killing vector field for the Fisher information metric on the statistical manifold of Gaussian distributions of probabilities. They are harmonic conjugate and then, they are both harmonic functions. Finally, we describe the form of its Killing vector fields.
📅 Published on 2025-11-25 07:56:35
📄 In this paper, we give a new presentation of the classification of simple real Jordan algebras. They are classified in four types: type I, type II, type III and type IV and to obtain those types we have to classify the involution classes of Euclidean simple Jordan algebras. We specify which involution is adapted and this one defines the type of simple real Jordan algebra classified.
📅 Published on 2025-11-25 07:38:47
📄 The research paper investigates the computation of Casimir operators on sl 2-modules associated with linear differential operators and symbols on the real line. The study considers spaces of differential operators and principal symbols related to tensor densities, and derives explicit formulas for the Casimir operators. It extends previously known results about sl 2 -modules and Schur’s Lemma, enriching the understanding of their role in differential geometry and representation theory.
📅 Published on 2025-11-25 07:20:39
📞 Phone : +25768279503
✉️ Email : aboubacar.nibirantiza@ub.edu.bi