Presentation
The MAThEOR is a fictional international research institute of mathematics. It has been founded in Mulhouse (France) in December 2021 by the four Founding Fathers Armand Ley, Quentin Ehret, Icaro Chaves and Thomas Jacumin. It gathers current and former PhD Students of the Math Departement of the Université de Haute-Alsace and is currently present on 3 continents (Europe, America, Asia). The Headquarters are located in Mulhouse (France). From December 2021 to July 2023, the Director of the institute was Quentin Ehret. After that, Armand Ley took the lead from July 2023 to October 2024. The current Director is Quentin Ehret (again!)
Like any other research institute, the MAThEOR is engaged in several aspects of the academic life, namely cutting-edge research in pure and applied mathematics, transmission of knowledge to students through teaching activities, animation and popular science, and administrative tasks.
Since October 2023, the members of the Institute are :
- Quentin Ehret, Director, Community Manager, head of the Asian subsidiary (Abu Dhabi, UAE)
- Armand Ley, currently without occupation (Strasbourg, France)
- Icaro Chaves, head of the american subsidiary (Fortaleza, Brazil)
- Thomas Jacumin, head of the Swedish subsidiary, Grand Architecte of the MAThEOR Cloud (Lund, Sweden)
- Andrea Rivezzi, Food manager (Prague, Czechia)
- Pierre J. Clavier, Pedagogical engineer, dating agent (Mulhouse, France)
- Douglas Modesto, manager of the Sport Section, gardener, (Mulhouse, France)
- Victoria Callet, Diversity and Inclusivity Manager (Strasbourg, France)
- Jon Béristain, Financial Manager, (Mulhouse, France)
Activities
Research
For the full list of scientific activities of the members, kindly refer to their personal webpages.
Summary
- Non-associative algebras, Quantization of Lie bialgebras
- Optimal Transport
- Homological Methods in applied mathematics
- Foliations
- Mathematical physics, QFT
- Image processing, computer vision, scientific computing
Last publications
- S. Bouarroudj, .Q. Ehret., Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, preprint, January 2024 (updated arXiv), to appear in Journal of Algebra and Its Applications, 2026 (10.1142/S0219498826500659).
- Z. Belhachmi and T. Jacumin. “Adjoint Method in PDE-Based Image Compression.” Asymptotic Analysis, October 7, 2024, 1–28. doi: 10.3233/ASY-241944.
- S. Bouarroudj, Q. Ehret., Double extensions of quasi-Frobenius Lie superalgebras with degenerate center, Communications in Algebra, (2024) 1–16.(10.1142/S0219498826500659) (arXiv).
- P.J. Clavier and D. Perrot. “Generalisations of multiple zeta values to rooted forests.” J. Number Theory, 264 (2024), 233–276. doi: 10.1016/j.jnt.2024.05.008.
Clavier, Pierre J.(F-HALS-MAS); , Dorian
(English summary)
- V. Callet., DFT and Persistent Homology for Topological Musical Data Analysis.
In: Noll, T., Montiel, M., Gómez, F., Hamido, O.C., Besada, J.L., Martins, J.O. (eds)
Mathematics and Computation in Music. MCM 2024. Lecture Notes in Computer Science, vol 14639. Springer, Cham.
https://doi.org/10.1007/978-3-031-60638-0_23
- S. Bouarroudj, Q. Ehret., Y. Maeda, Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras, SIGMA. Symmetry Integrability Geom. Methods Appl. 19 (2023), 070, 29 pages (Article) (10.3842/SIGMA.2023.070).
- V. Callet., Persistent Homology on Musical Bars.
In: Montiel, M., Agustín-Aquino, O.A., Gómez, F., Kastine, J., Lluis-Puebla, E., Milam, B. (eds)
Mathematics and Computation in Music. MCM 2022. Lecture Notes in Computer Science, vol 13267. Springer, Cham.
https://doi.org/10.1007/978-3-031-07015-0_29
- Z. Belhachmi and T. 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.
- Q. Ehret, A. Makhlouf, On classification and deformations of Lie-Rinehart superalgebras, Communications in Mathematics 30 (2022), no. 2, 67–92. (Article) (10.46298/cm.10537).
Last preprints
- S. Benayadi, S.Bouarroudj, Q. Ehret., Left-symmetric superalgebras and Lagrangian extensions of Lie superalgebras in characteristic 2, preprint, January 2025 (arXiv).
- P. J. Clavier, D. Modesto, Coalgebras, bialgebras and Rota-Baxter algebras from shuffles of rooted forests, preprint, January 2025 (arXiv).
- Z. Belhachmi and T. Jacumin. Optimal Transport Model of Optical Flow Estimation: Constant and Varying Illumination Cases. hal:04829141. Dec. 2024. hal: hal-04829141 (Submitted).
- T. Jacumin. and A. Langer. An Adaptive Finite Difference Method for Total Variation Minimization. arXiv:2410.13608. Oct. 2024. doi: 10.48550/arXiv.2410.13608 (Submitted).
- A. Ley., On the Markov transformation of Gaussian Processes, preprint, October 2024 (HAL).
- A. Rivezzi, On the universal Drinfeld-Yetter algebra, April 2024 (arXiv)
- Q. Ehret., A. Makhlouf, Deformations and Cohomology of restricted Lie-Rinehart algebras in positive characteristic, preprint, May 2023 (arXiv).
- M. Bordemann, A. Rivezzi., T. Weigel, A gentle introduction to Drinfel'd associators, preprint, April 2023 (arXiv).
- Z. Belhachmi and T. Jacumin. Iterative Approach to Image Compression with Noise : Optimizing Spatial and Tonal Data. arXiv:2209.14706. Sept. 2022. doi: 10.48550/arXiv.2209.14706.
Teaching
Several courses in first and second year of Bachelor, mainly real analysis and numerical methods, linear algebra, probability, multivariables calculus, general mathematics, computer programming, statistics, and master thesis supervision.
Animation and popular science
- MATh.en.Jeans
- RJMI
- Talks in primary schools
- Popular Science conferences
- Night of Mathematics Games
- Science Feast