Projects per year
Organization profile
Organisation profile
The main research topics of the department WISK are: 1. p-adic analysis The functions studied in the mathematical analysis have real and complex values. One can replace the real or complex numbers by other numbers: the p-adic numbers (p is a prime). These numbers have properties that are rather different from the properties of real numbers. For instance when calculating with p-adic numbers rounding errors do not occur. The analysis built on the basis of the p-adic numbers is called p-adic analysis. This analysis has applications in physics and number theory. 2. Ring theory Algebraic structures play a central role in mathematics. The best known example of an algebraic structure is a group i.e. a set on which an operator is defined. An important example is the group of symmetries of a physical or chemical system. Other algebraic structures have two operations e.g. rings and fields. We study non-commutative ring theory and related subjects such as Hopf algebras and Brauer groups.
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Profiles
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Philippe Cara
- Vrije Universiteit Brussel
- Algebra and Analysis
- Mathematics - Academic
- Mathematics-TW - Academic
- Algebra
Person: Researcher, Professor
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Kenny De Commer
- Vrije Universiteit Brussel
- Algebra and Analysis
- Mathematics-TW - Academic
- Topological Algebra, Functional Analysis and Category Theory
- Mathematics - Academic
Person: Researcher, Professor
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FWOTM933: Developments and applications of categorical algebra
1/10/18 → 31/01/23
Project: Fundamental
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FWOTM743: Structural results for Hopf algebras and related subjects
1/10/14 → 30/09/22
Project: Fundamental
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3962241019: Colloquium : 'FOURTH WEEK ON ALGEBRA AND GEOMETRY, 'SAGA4' - RUCA en VUB, september 1996.
1/03/96 → …
Project: Fundamental
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FWOTM1106: From algebraic graph theory to finite geometry to extremal combinatorics and back
1/10/22 → 30/09/25
Project: Fundamental
Research output
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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
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A generalization of the cylinder conjecture for divisible codes
Mattheus, S. & Kurz, S., Apr 2022, In : IEEE Transactions on Information Theory. 68, 4, p. 2281-2289 9 p.Research output: Contribution to journal › Article
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Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields
Adriaensen, S., 15 Jun 2022, In : Linear Algebra and its Applications. 643, p. 1-38 38 p.Research output: Contribution to journal › Article
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Finite Geometry and Friends: Tilings of abelian groups and combinatorics inspherical buildings
Mattheus, S., 25 May 2022, 121 p.Research output: Thesis › PhD Thesis
Open AccessFile -
Moderate-density parity-check codes from projective bundles
Mattheus, S., 2022, In : Designs, Codes and Cryptography.Research output: Contribution to journal › Article
Activities
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Designs, Codes and Cryptography (Journal)
Sam Adriaensen (Editor)20 May 2021 → 1 Jun 2021Activity: Publication peer-review and editorial work › Publication peer-review
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Designs, Codes and Cryptography (Journal)
Sam Mattheus (Peer reviewer)May 2021Activity: Publication peer-review and editorial work › Publication peer-review
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Small weight codewords in projective geometric codes
Sam Adriaensen (Speaker)7 Apr 2021Activity: Talk or presentation › Talk at an external academic organisation
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Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields
Sam Adriaensen (Speaker)5 Oct 2021Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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Do maximal arcs exist as multisets in the projective plane?
Sam Adriaensen (Speaker)12 Feb 2021Activity: Talk or presentation › Talk or presentation at a workshop/seminar