Projects per year
Organisation 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.
Keywords
- Brauer Groups
- Hopf Algebras
- P-Adic Numbers
- Mathematics
Fingerprint
Collaborations and top research areas from the last five years
Profiles
-
Stefaan Caenepeel
- Vrije Universiteit Brussel
- WE Academic Unit - Paid ZAP at rest
- Mathematics-TW - Unpaid ZAP at rest
- Mathematics & Data Science - Unpaid ZAP at rest
Person: Researcher
-
Philippe Cara
- Vrije Universiteit Brussel
- Mathematics - Additional Position (Rector, Vice Rector, Dean, Department Chair, Head of Research Group), Undefined
- Mathematics-TW - Additional Position (Rector, Vice Rector, Dean, Department Chair, Head of Research Group), Undefined
- Mathematics & Data Science
Person: Researcher, Professor
-
Leen Demuys
- Vrije Universiteit Brussel
- Mathematics & Data Science - Doctoral scholarship
- Mathematics-TW - Doctoral scholarship
- Faculty of Sciences and Bioengineering Sciences
Person: Researcher, PhD
-
Andreas Lorrain
- Vrije Universiteit Brussel
- Mathematics-TW - Doctoral scholarship
- Faculty of Sciences and Bioengineering Sciences
Person: Researcher, PhD
-
FWOTM1308: Division and extension problems. An approach via locally convex methods
Van Boxstael, Q., Debrouwere, A. & Vindas Diaz, J.
1/11/25 → 31/10/29
Project: Fundamental
-
FWOTM1213: Finite geometry and its partners in crime: codes, graphs, and equiangular lines.
1/10/24 → 30/09/27
Project: Fundamental
-
FWOTM1160: Braided quantum groups, actions and von Neumann algebras
Krajczok, J. & De Commer, K.
1/10/23 → 30/09/26
Project: Fundamental
-
OZR4178: Applied harmonic analysis and partial differential equations
1/09/23 → 31/08/27
Project: Fundamental
-
Gw250114: testing Hawking's area law and the Kerr nature of black holes
LIGO Scientific, Virgo, and KAGRA Collaborations, Sevrin, A., Sevrin, A., Duval, H., Van den Bossche, E. & Turbang, K., 12 Sept 2025, In: Physical Review Letters. 135, 11, 27 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)12 Downloads (Pure) -
Linear topological invariants for kernels of differential operators by shifted fundamental solutions
Debrouwere, A. & Kalmes, T., Feb 2025, In: Archiv der Mathematik. 124, 2, p. 177-193 17 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On the surjectivity of the Cauchy-Riemann and Laplace operators on weighted spaces of smooth functions
Debrouwere, A., Boxstael, Q. V. & Vindas Diaz, J., 13 May 2025, (Accepted/In press) Proceedings of the American Mathematical Society, 15 p.Research output: Working paper › Preprint › peer-review
File -
Spaces of smooth and ultradifferentiable vectors associated with Lie group representations
Huttener, M., 2025, 202 p.Research output: Thesis › PhD Thesis
Open AccessFile -
An extension result for (LB)-spaces and the surjectivity of tensorized mappings
Debrouwere, A. & Neyt, L., 2024, In: Annali di Matematica Pura ed Applicata. 203, p. 1753-1781 29 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)41 Downloads (Pure)
Activities
-
Research visit to prof. Thomas Kalmes
Quinten Van Boxstael (Visitor) & Thomas Kalmes (Host)
9 Feb 2025 → 14 Feb 2025Activity: Other › Research and Teaching at External Organisation
-
Division and extension problems. An approach via locally convex methods
Quinten Van Boxstael (Recipient), Andreas Debrouwere (Supervisor) & Jasson Vindas Diaz (Supervisor)
1 Nov 2025 → 31 Oct 2029Activity: Other › Written proposal
-
Research visit to Zsuzsa Weiner
Sam Adriaensen (Visitor) & Zsuzsa Weiner (Host)
18 Feb 2024 → 3 Mar 2024Activity: Other › Research and Teaching at External Organisation
-
Finite Fields and Their Applications (Journal)
Sam Adriaensen (Peer reviewer)
2 Jan 2024 → 8 Mar 2024Activity: Publication peer-review and editorial work › Publication peer-review
-
On the surjectivity of the Cauchy-Riemann operator on spaces of smooth functions of rapid decay on strips in the complex plane
Quinten Van Boxstael (Speaker)
16 Sept 2024Activity: Talk or presentation › Talk or presentation at a conference