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.
Keywords
 mathematics
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Profiles

Sam Adriaensen
 Vrije Universiteit Brussel
 MathematicsTW  Scientific employee, Academic
 Algebra and Analysis
 https://we.vub.ac.be/en/dimadigitalmathematics
 Faculty of Sciences and Bioengineering Sciences
Person: Researcher, PhD, Doctoral student

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

Stefaan Caenepeel
Person: Researcher, Professor

Philippe Cara
 Vrije Universiteit Brussel
 Algebra and Analysis
 Mathematics  Academic
 MathematicsTW  Academic
Person: Researcher, Professor

Eva Colebunders
 Vrije Universiteit Brussel
 Algebra and Analysis
 Mathematics  Undefined, Academic
 Vriendenkring VUB  Emeritus
 Topological Algebra, Functional Analysis and Category Theory
Person: Sympathiser, 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

Unified products for Jordan algebras. Applications
Agore, A. L. & Militaru, G., Apr 2023, In: Journal of Pure and Applied Algebra. 227, 4, 19 p., 107268.Research output: Contribution to journal › Article › peerreview

Vuniversal Hopf algebras (co)acting on Ωalgebras
Agore, A. L., Gordienko, A. & Vercruysse, J., 2023, In: Communications in Contemporary Mathematics. 25, 40 p., 2150095.Research output: Contribution to journal › Article › peerreview

Abelianization and fixed point properties of linear groups and units in integral group rings
Bächle, A., Jespers, E., Janssens, G., Kiefer, A. & Temmerman, D., 3 Nov 2022, In: Mathematische Nachrichten. 49 p.Research output: Contribution to journal › Article › peerreview
Open Access1 Citation (Scopus) 
A cliquefree pseudorandom subgraph of the pseudo polarity graph
Mattheus, S. & Pavese, F., Jul 2022, In: Discrete Mathematics. 345, 7, 7 p., 112871.Research output: Contribution to journal › Article › peerreview

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 › peerreview
1 Citation (Scopus)12 Downloads (Pure)
Activities

Affine cones over Grassmanians and their stringy Efunctions
Timothy De Deyn (Speaker)
18 Jul 2022Activity: Talk or presentation › Talk or presentation at a conference

On the Virtual Structure Problem for group rings
Geoffrey Janssens (Speaker)
24 Feb 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

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

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