Organisation profile
About us
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
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Collaborations and top research areas from the last five years
Profiles
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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
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Philippe Cara
- Vrije Universiteit Brussel
- Mathematics - Additional Position (Rector, Vice Rector, Dean, Department Chair, Head of Research Group), Undefined, Head Lecturer
- Mathematics-TW - Additional Position (Rector, Vice Rector, Dean, Department Chair, Head of Research Group), Undefined, Head Lecturer
- Mathematics & Data Science - Head Lecturer
Person: Researcher, Professor
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Andreas Debrouwere
- Vrije Universiteit Brussel
- Mathematics & Data Science - Lecturer
- Mathematics-TW - Lecturer
Person: Professor
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Leen Demuys
- Vrije Universiteit Brussel
- Mathematics & Data Science - Doctoral scholarship
- Mathematics-TW - Doctoral scholarship
- Faculty of Sciences and Bioengineering Sciences
Person: Researcher, PhD
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Andreas Lorrain
- Vrije Universiteit Brussel
- Mathematics-TW - Doctoral scholarship
- Faculty of Sciences and Bioengineering Sciences
Person: Researcher, PhD
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FWOAL1179: Microlocal analysis in quasianalytic classes and applications to quantum field theory on curved spacetimes
Debrouwere, A. (Administrative Promotor) & Wrochna, M. (CoI (Co-Promotor))
1/01/26 → 31/12/29
Project: Fundamental
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FWOTM1308: Division and extension problems. An approach via locally convex methods
Van Boxstael, Q. (Mandate), Debrouwere, A. (Administrative Promotor) & Vindas Diaz, J. (CoI (Co-Promotor))
1/11/25 → 31/10/29
Project: Fundamental
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FWOTM1213: Finite geometry and its partners in crime: codes, graphs, and equiangular lines.
Adriaensen, S. (Mandate) & De Beule, J. (Administrative Promotor)
1/10/24 → 30/09/27
Project: Fundamental
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FWOTM1160: Braided quantum groups, actions and von Neumann algebras
Krajczok, J. (Mandate) & De Commer, K. (Administrative Promotor)
1/10/23 → 30/09/26
Project: Fundamental
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OZR4178: Applied harmonic analysis and partial differential equations
Debrouwere, A. (Administrative Promotor)
1/09/23 → 31/08/27
Project: Fundamental
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A linear topological invariant for weighted spaces of holomorphic functions
Debrouwere, A. & Van Boxstael, Q., 8 May 2026, In: Revista matemática complutense. 25 p.Research output: Contribution to journal › Article › peer-review
File -
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., 10 Sept 2025, In: Physical Review Letters. 135, 11, 27 p., 111403.Research output: Contribution to journal › Article › peer-review
Open AccessFile32 Citations (Scopus)20 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 AccessFile1 Downloads (Pure) -
On the inclusion relations between Gelfand-Shilov spaces
Debrouwere, A., Neyt, L. & Vindas, J., Jul 2025, In: Studia Mathematica. p. 237-256 20 p.Research output: Contribution to journal › Article › peer-review
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On the surjectivity of the Cauchy-Riemann and Laplace operators on weighted spaces of smooth functions
Debrouwere, A., Boxstael, Q. V. & Vindas Diaz, J., 5 Dec 2025, In: Proceedings of the American Mathematical Society. 154, 15 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile23 Downloads (Pure)
Activities
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A geometric reconstruction of linear sets.
Demuys, L. (Speaker)
27 Feb 2026Activity: Talk or presentation › Talk or presentation at a conference
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Finite Geometry and Friends 2025: A Brussels' Summer School on Finite Geometry
De Beule, J. (Chair), Demuys, L. (Organiser), Mannaert, J. (Organiser), Mattheus, S. (Organiser), Adriaensen, S. (Organiser) & Wittebol, J. J. (Organiser)
15 Sept 2025 → 19 Sept 2025Activity: Participating in or organising an event › Participation in conference
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Division and extension problems. An approach via locally convex methods
Van Boxstael, Q. (Recipient), Debrouwere, A. (Supervisor) & Vindas Diaz, J. (Supervisor)
1 Nov 2025 → 31 Oct 2029Activity: Other › Written proposal
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Research visit to prof. Thomas Kalmes
Van Boxstael, Q. (Visitor) & Kalmes, T. (Host)
9 Feb 2025 → 14 Feb 2025Activity: Other › Research and Teaching at External Organisation
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A survey on Whitney type extension problems
Van Boxstael, Q. (Speaker)
3 Dec 2025Activity: Talk or presentation › Talk or presentation at a workshop/seminar