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, noncommutative 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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Profiles

Ana Agore
 Vrije Universiteit Brussel
 Algebra and Analysis
 Mathematics  Academic
 MathematicsTW  Academic
 Algebra
Person: Researcher, Guest professor

Andreas Bächle
Person: Researcher

Stefaan Caenepeel
Person: Researcher, Professor

Mauricio José Caicedo Borrero
Person: Researcher
Projects
 2 Active

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

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

New values for the bipartite Ramsey number of the fourcycle 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

The algebraic structure of left semitrusses
Colazzo, I. & Van Antwerpen, A., Feb 2021, In : Journal of Pure and Applied Algebra. 225, 2, 106467.Research output: Contribution to journal › Article

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

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

Finite Fields and Their Applications (Journal)
Geoffrey Janssens (Peer reviewer)2021 → …Activity: Publication peerreview and editorial work › Publication peerreview

Ofir Schnabel
Geoffrey Janssens (Host)3 Feb 2020 → 10 Feb 2020Activity: Hosting a visitor › Hosting an academic visitor

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

Journal of Algebra and Its Applications (Journal)
Geoffrey Janssens (Peer reviewer)2020 → …Activity: Publication peerreview and editorial work › Publication peerreview