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.
Keywords
- mathematics
Fingerprint
Network
Profiles
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Sam Adriaensen
- Vrije Universiteit Brussel
- Mathematics-TW - Scientific employee, Academic
- Algebra and Analysis
- https://we.vub.ac.be/en/dima-digital-mathematics
- Faculty of Sciences and Bioengineering Sciences
Person: Researcher, PhD, Doctoral student
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Ana Agore
- Vrije Universiteit Brussel
- Algebra and Analysis
- Mathematics - Academic, Undefined
Person: Researcher, Guest professor
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Philippe Cara
- Vrije Universiteit Brussel
- Algebra and Analysis
- Mathematics - Academic
- Mathematics-TW - Academic
Person: Researcher, Professor
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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
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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
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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 › peer-review
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V-universal Hopf algebras (co)acting on Ω-algebras
Agore, A. L., Gordienko, A. & Vercruysse, J., 2023, In: Communications in Contemporary Mathematics. 25, 40 p., 2150095.Research output: Contribution to journal › Article › peer-review
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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., 3 Nov 2022, In: Mathematische Nachrichten. 49 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
A clique-free 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 › peer-review
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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. 185-223 39 p.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus)12 Downloads (Pure)
Activities
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Affine cones over Grassmanians and their stringy E-functions
Timothy De Deyn (Speaker)
18 Jul 2022Activity: Talk or presentation › Talk or presentation at a conference
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On the Virtual Structure Problem for group rings
Geoffrey Janssens (Speaker)
24 Feb 2022Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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On support tau-tilting modules over generalized preprojective algebras following Fu-Geng
Geoffrey Janssens (Speaker)
8 Apr 2022Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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Which amalgamated products exist in GL_n(D)?
Geoffrey Janssens (Speaker)
3 Mar 2022Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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Bernoulli (Journal)
Uwe Einmahl (Editorial board member)
2022 → 2024Activity: Publication peer-review and editorial work › Editorial activity