Projects per year
Organization profile
Organisation profile
The research team investigates mathematical structures that are important in several basic areas of mathematics like geometry, representation theory, functional analysis, differential calculus or theory of approximation. The motivation also comes from outside mathematics, from computer science or physics where some of the mathematical structures that are studied are called upon as models. By application of methods from category theory the relation between these mathematical structures is studied. The compatibility of their fundamental constructions is investigated and a general study of their representability, as well as of their function space theory is undertaken. More specifically the theory of frames or locales uses ordertheoretic notions to gain more insight in topological structures and to shed light on the use of choice principles in topology (or sometimes simply avoid them altogether). The theory of approach spaces provides the tools for obtaining quantified results in topology and in functional analysis, extending the isometric theory of Banach spaces. The team contributes to the development of the theory of semiabelian categories and tensor categories Semiabelian categories allow a unified setting for many important homological properties of nonabelian categories. Categories of quantum groups, of rings, of Liealgebras and of crossed modules are typical nonabelian categories, often with a tensor structure. Abstract tensor categories lead to interesting noncommutative spaces (operator algebras) whose analytical properties are studied in connection with the properties of the associated category. The main emphasis is on representation categories of quantum deformations of semisimple Lie groups.
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Projects
 6 Finished


OZR1424: Further development of semiabelian homology theory
Kieboom, R. & Van Der Linden, T.
1/01/07 → 31/12/07
Project: Fundamental


OZR431: Application of methods from categorical topology in order to solve problems in the completion theory of quasiduniform spaces.
1/01/00 → 31/12/01
Project: Fundamental

OZR191: The application of computeralgebra within the fundamental research in geometry and theory of groups.
1/01/98 → 31/12/98
Project: Fundamental
Research output

Capping with activated carbon reduces nutrient fluxes, denitrification and meiofauna in contaminated sediments
Bonaglia, S., Rämö, R., Marzocchi, U., Le Bouille, L., Leermakers, M., Nascimento, F. J. A. & Gunnarsson, J. S., 1 Jan 2019, In : Water Research. 148, p. 515525 11 p.Research output: Contribution to journal › Article
Open Access24 Citations (Scopus) 
Health risks related to seafood consumption and arsenic speciation in fish and shellfish from North Sea (Southern bight) and Açu Port area (Brazil)
Baisch, P., Gao, Y., Larebeke, N. V., Baeyens, W., Leermakers, M., Mirlean, N. & Júnior, F. M., 1 Jan 2018, Environmental Arsenic in a ChangingWorld  7th International Congress and Exhibition Arsenic in the Environment, 2018. Zhu, YG., Zhu, YG., Guo, H., Guo, H., Bhattacharya, P., Bhattacharya, P., Bundschuh, J., Ahmad, A., Ahmad, A., Ahmad, A., Naidu, R. & Naidu, R. (eds.). CRC Press/Balkema, p. 371372 2 p. (Environmental Arsenic in a ChangingWorld  7th International Congress and Exhibition Arsenic in the Environment, 2018).Research output: Chapter in Book/Report/Conference proceeding › Conference paper

Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras
De Commer, K. & Neshveyev, S., 2015, In : Transform. Groups. 20, 3, p. 725742 17 p.Research output: Contribution to journal › Article
2 Citations (Scopus) 
Cartesian closeness, extensionality and bornological universes
Sioen, M. & Vroegrijk, T., 2014, In : Appl. Categ. Struct.. 22, p. 565577 13 p.Research output: Contribution to journal › Article

Complexity Analysis via Approach Spaces
Colebunders, E., De Wachter, S. & Schellekens, M., Feb 2014, In : Applied Categorical Structures. 22, DOI 10.1007/s1048501393022, p. 119136 18 p.Research output: Contribution to journal › Article
Activities

Praktische toepassingen van elementaire lineaire algebra.
Rudger Kieboom (Participant)14 Feb 2012Activity: Participating in or organising an event › Participating in or organizing a public lecture/debate

Workshop on Category theory
Eva Colebunders (Speaker)2012Activity: Talk or presentation › Talk or presentation at a workshop/seminar

Research visit Tholen, York University, Canada
Eva Colebunders (Member)2012Activity: Other › Types of External academic engagement  Hosting an academic visitor

University of Nis (External organisation)
Eva Colebunders (Member)2011 → 2014Activity: Membership › Membership of peerreview panel or committee

Aspects of contemporary topology IV (Journal)
Eva Colebunders (Editor)2011Activity: Publication peerreview and editorial work › Editorial activity