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

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

A cliquefree pseudorandom subgraph of the pseudo polarity graph
Mattheus, S. & Pavese, F., 2022, In : Discrete Mathematics. 345, 7, 7 p., 112871.Research output: Contribution to journal › Article

A dichotomy for integral group rings via higher modular groups as amalgamated products
Bächle, A., Janssens, G., Jespers, E., Kiefer, A. & Temmerman, D., 15 Aug 2022, In : Journal of Algebra. 604, p. 185223 39 p.Research output: Contribution to journal › Article
Open Access 
A generalization of the cylinder conjecture for divisible codes
Mattheus, S. & Kurz, S., Apr 2022, In : IEEE Transactions on Information Theory. 68, 4, p. 22812289 9 p.Research output: Contribution to journal › Article

Codimension Growth of Lie algebras with a generalized action
Janssens, G., 14 Apr 2022, In : Proceedings of the American Mathematical Society. 150, 7, p. 27412754 14 p.Research output: Contribution to journal › Article
Open Access 
ErdősKoRado theorems for ovoidal circle geometries and polynomials over finite fields
Adriaensen, S., 15 Jun 2022, In : Linear Algebra and its Applications. 643, p. 138 38 p.Research output: Contribution to journal › Article
Activities

Left nondegenerate settheoretic solutions of the YangBaxter equation and related associative structures
Charlotte Verwimp (Speaker)5 Jan 2022Activity: Talk or presentation › Talk or presentation at a conference

Bernoulli (Journal)
Uwe Einmahl (Editorial board member)2022 → 2024Activity: Publication peerreview and editorial work › Editorial activity

Which amalgamated products exist in GL_n(D)?
Geoffrey Janssens (Speaker)3 Mar 2022Activity: Talk or presentation › Talk or presentation at a workshop/seminar

On support tautilting modules over generalized preprojective algebras following FuGeng
Geoffrey Janssens (Speaker)8 Apr 2022Activity: Talk or presentation › Talk or presentation at a workshop/seminar

Nerves and infinitycategories following BoardmanVogt
Geoffrey Janssens (Speaker)27 Apr 2022Activity: Talk or presentation › Talk or presentation at a workshop/seminar