Projects per year
Organisation 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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Collaborations and top research areas from the last five years
Profiles

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

Ana Agore
Person: Researcher, Guest professor

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

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

OZR4257: Bilateral cooperation within the framework of a joint doctoral project: benchfee for joint PhD VUB  UniTo, FERRI Davide
15/02/24 → 14/02/28
Project: Fundamental


EUPOM141: Supporting Professionals and Academics for Community Engagement in Higher Education (SPACE)
Engels, N., Moriau, L., Sonck, G., Cocquyt, C. & Mostmans, L.
1/11/23 → 31/10/26
Project: Applied

FWOTM1160: Braided quantum groups, actions and von Neumann algebras
Krajczok, J. & De Commer, K.
1/10/23 → 30/09/26
Project: Fundamental

Incidencefree sets and edge domination in incidence graphs
Adriaensen, S., Mattheus, S. & Spiro, S., Feb 2024, In: Journal of Combinatorial Designs. 32, 2, p. 5587 33 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile1 Downloads (Pure) 
Universal constructions for Poisson algebras. Applications
Agore, A. L. & Militaru, G., 15 Jan 2024, In: Journal of Algebra. 638, p. 3256 25 p.Research output: Contribution to journal › Article › peerreview
Open Access 
Abelianization and fixed point properties of units in integral group rings
Bächle, A., Jespers, E., Janssens, G., Kiefer, A. & Temmerman, D., Jan 2023, In: Mathematische Nachrichten. 296, 1, p. 856 49 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile2 Citations (Scopus)1 Downloads (Pure) 
A first course in category theory
Agore, A. L., 2023, Springer. 284 p. (Universitext)Research output: Book/Report › Book › Specialist

A note on affine cones over Grassmannians and their stringy Efunctions
De Deyn, T., 1 Jun 2023, In: Proceedings of the American Mathematical Society. 151, 6, p. 23632373 11 p.Research output: Contribution to journal › Article › peerreview
Activities

Oberwolfach miniworkshop: Skew braces and the YangBaxter equation
Claudio Leandro Vendramin (Chair), Istvan Heckenberger (Chair) & Giovanna Carnovale (Chair)
28 Jan 2024 → 2 Feb 2024Activity: Participating in or organising an event › Participating in or organizing an event at an external academic organisation

Nichols algebras: an overview
Claudio Leandro Vendramin (Speaker)
29 Jan 2024Activity: Talk or presentation › Talk or presentation at a workshop/seminar

Edge domination in incidence graphs
Sam Adriaensen (Speaker)
20 Feb 2023Activity: Talk or presentation › Talk or presentation at a conference

Edge Domination in Incidence Graphs
Sam Adriaensen (Speaker)
13 Mar 2023Activity: Talk or presentation › Talk or presentation at a workshop/seminar

Edge Domination in Incidence Graphs
Sam Adriaensen (Speaker)
26 Jun 2023Activity: Talk or presentation › Talk or presentation at a conference