Projects per year
Organization profile
Organisation profile
The ALAN research group (ALgebra and ANalysis) specializes in the two core domains ALGEBRA and ANALYSIS within mathematics. These domains have a rich history, and cover a broader spectrum in modern mathematics than is traditionally thought of. ALGEBRA studies discrete structures such as groups (study of symmetries) and categories (study of relationships). ANALYSIS studies continuous structures, and develops theories in which approaches to exact solutions play an important role. Important applications can be found in geometry and probability theory / stochastics.
approximation theory, topology, theoretical stochastics and random matrices. The expertise of the research group makes specific use of techniques from category theory, non-commutative algebra, abstract harmonic analysis, operator algebras and theoretical probability theory.
Motivation of the research also comes from outside mathematics, from computer sciences or physics, where some mathematical structures being investigated are invoked as models. The research group also foresees close collaboration with the DIMA (DIgital MAthematics) research group, through the application of harmonic analysis within signal processing, the finite geometry and algebra within coding theory and cryptography, and the category theory within the study of networks and complex systems.
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Network
Profiles
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Ana Agore
- Vrije Universiteit Brussel
- Algebra and Analysis
- Mathematics - Academic
- Mathematics-TW - Academic
- Algebra
Person: Researcher, Guest professor
Projects
- 2 Active
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OZR3603: Bilateral cooperation within the framework of a joint doctoral project: benchfee for joint PhD VUB - ULB, HERNANDEZ LUCAS Lisa
3/01/18 → 2/01/22
Project: Fundamental
Research output
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Abelianization and fixed point properties of linear groups and units in integral group rings
Bächle, A., Jespers, E., Janssens, G., Kiefer, A. & Temmerman, D., 14 Jan 2021, (Accepted/In press) In : Mathematische Nachrichten. 56 p.Research output: Contribution to journal › Article
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New values for the bipartite Ramsey number of the four-cycle versus stars
Mattheus, S., Héger, T. & Hatala, I., 2021, In : Discrete Mathematics.Research output: Contribution to journal › Article
Open Access -
Small Weight Codewords of Projective Geometric Codes
Adriaensen, S. & Denaux, L., 8 Jan 2021, In : Journal of Combinatorial Theory - Series A. 180, 34 p.Research output: Contribution to journal › Article
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The algebraic structure of left semi-trusses
Colazzo, I. & Van Antwerpen, A., Feb 2021, In : Journal of Pure and Applied Algebra. 225, 2, 106467.Research output: Contribution to journal › Article
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A counterexample to Fuglede's conjecture in (Z/pZ)^4 for all odd primes
Mattheus, S., 2020, In : Bulletin of the Belgian Mathematical Society - Simon Stevin. 27, 4Research output: Contribution to journal › Article
Activities
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Commissie Topsport VUB: Dual career at the Vrije Universiteit Brussel - New facts & figures
Koen De Brandt (Speaker), Paul Wylleman (Speaker), Evert Zinzen (Contributor), Gert Sonck (Contributor)14 Jan 2021Activity: Talk or presentation › Talk at a school event
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Finite Fields and Their Applications (Journal)
Geoffrey Janssens (Peer reviewer)2021 → …Activity: Publication peer-review and editorial work › Publication peer-review
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Ofir Schnabel
Geoffrey Janssens (Host)3 Feb 2020 → 10 Feb 2020Activity: Hosting a visitor › Hosting an academic visitor
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A quantization of Sylvester's law of inertia
Kenny De Commer (Speaker)8 Oct 2020Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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Journal of Algebra and Its Applications (Journal)
Geoffrey Janssens (Peer reviewer)2020 → …Activity: Publication peer-review and editorial work › Publication peer-review