Projects per year
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.
- Brauer Groups
- Hopf Algebras
- P-Adic Numbers
Collaborations and top research areas from the last five years
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Krajczok, J. & De Commer, K.
1/10/23 → 30/09/26
1/09/23 → 31/08/27
ANI366: Francqui-Chair VUB - Academic Year 2023-2024: appointed to - Prof. dr. Stephane Jaffard , Université Paris Est Créteil
1/09/23 → 31/08/24
OZR4124: Bilateral cooperation within the framework of a joint doctoral project: benchfee for joint PhD VUB - UGent, HUTTENER Michiel
10/03/23 → 9/03/27
Debrouwere, A. & Neyt, L., 2023, In: Zeitschrift für Analysis und ihre Anwendungen. 41, 3/4, p. 473–486 14 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile
Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spacesDebrouwere, A. & Kalmes, T., Jun 2023, In: Mathematische Annalen. 386, 1-2, p. 779–819 41 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile1 Citation (Scopus)2 Downloads (Pure)
Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coidealsDe Commer, K., Yamashita, M., Neshveyev, S. & Tuset, L., 2 May 2023, In: Forum of Mathematics: Pi. 11, 14, p. 1-79 79 p., e14.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile4 Downloads (Pure)
Debrouwere, A. & Prangoski, B., 1 May 2023, In: Analysis and Applications. 21, 3, p. 547-596 52 p.
Research output: Contribution to journal › Article › peer-review1 Citation (Scopus)