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Fundamental Mathematics (T_FW)
Main organisation:Department of Mathematics
Lifecycle:1 Oct 2003 → Today
Organisation profile:The research group of Fundamental Mathematics in Antwerp covers a broad range of research fields from algebra over geometry to analysis. In more detail, the research areas represented by the professors and their research teams are:- Karim Becher:Quadratic forms, field arithmetic, central simple algebras, Brauer groups, linear algebraic groups.- David Eelbode:Conformally invariant operators, representation theory, spin groups, Clifford analysis.- Sonja Hohloch:Symplectic geometry, Floer homology, Hamiltonian systems, integrable systems, Morse theory and n-categories, optimal transport.- Lieven Le Bruyn:Algebraic geometry, quantum algebra, representation theory, rings and algebras- Wendy Lowen:Non-commutative algebraic geometry, homological and homotopical algebra, Hochschild cohomology, deformation theory- Boris Shoikhet:Deformation theory, operads and higher structures, higher category theory, homological and homotopical algebra, Poisson geometry, topological quantum field theory.Moreover, the still active emeriti represent:- Bob Lowen:Categorical topology, approach theory and index analysis with applications in approximation theory, functional analysis, probability and statistics, hyperspace theory and domain theory.- Fred Van Oystaeyen:Noncommutative algebraic geometry, Calabi-Yau algebras and deformations, Rota-Baxter operators, categories over Hopf algebras and quasi-algebras, noncommutative topology, glider representations of filtered algebras, graded ring theory.----------------------------------------------------------------------------Many grants from FWO (PhD and Postdoc fellowships, Pegasus positions, projects, Odysseus program...), joint FWO & F.R.S.-FNRS programs (Excellence of Science (EoS),...), the European Union (ERC) and other countries (Germany, Switzerland...) together with the university's own special fund (BOF) provide the opportunity for active research with many PhD students, postdocs and conferences.The research group attracts excellent researchers as members or visitors and contributes to the internationalization of mathematics at the University of Antwerp, through further development of international networks and participation in international research activities.
Keywords:BRAUER GROUP, REGULAR ALGEBRAS, QUANTIZATION DEFORMATION, QUANTUM GROUPS, NON-COMMUTATIVE ALGEBRAIC GEOMETRY, DIFFERENTIAL EQUATIONS, INTEGRABLE HAMILTONIAN SYSTEMS, DIFFERENTIAL OPERATORS, FLOER HOMOLOGY, CLIFFORD ALGEBRA, NUMBER THEORY, LIE ALGEBRAS, SYMPLECTIC GEOMETRY, DYNAMICAL SYSTEMS, QUADRATIC FORMS
Disciplines:Algebra, Geometry, Analysis