Name Responsible Activity
Algebra "Willem Veys" "NUMBER THEORY AND ALGEBRAIC GEOMETRY1) Study of the number of solutions of polynomial equations in several variables over finite fields and residue class rings, with emphasis on the relation to geometric and topological invariants of the equations, Igusa's local zeta function, p-adic exponential sums.2) Connections between (1) and the theory of singularities, resolution of singularities, Log Minimal Model Program, topological and motivic zeta functions, monodromy, Hodge spectrum, germs of arcs on an algebraic variety, asymptotics of oscillating integrals, principal value integrals of Langlands.3) Monodromy conjecture via non-archimedean geometry, degenerations of algebraic varieties, connections with Mirror Symmetry via tropical geometry and logarithmic geometry.4) Topology of algebraic varieties, local systems, perverse sheaves, mixed Hodge modules, regular and irregular D-modules, Bernstein-Sato ideals, resonance varieties.5) Deformation theory, differential graded Lie algebras and modules, L-infinity algebra and modules, with applications to topology of algebraic varieties and to Brill-Noether theory of sheaves on algebraic varieties.6) Connections with mathematical logic and model theory.GROUP THEORY AND TOPOLOGY1) Geometric group theory, almost-crystallographic groups, automorphisms of virtually nilpotent groups and more general groups, nilpotent and solvable Lie groups and Lie algebras, left symmetric algebras.2) Nilmanifolds and infra-nilmanifolds, fixed point theory, Anosov diffeomorphisms. "
Mathematics-TW "Stefaan Caenepeel" "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."
"Centre for Logic and Philosophy of Science" "Stefaan Cuypers" "The Centre for Logic and Analytic Philosophy (CLAW) co-ordinates all research at the Institute of Philosophy concerning logic and analytic philosophy, with a special focus on the philosophy of particular sciences.The Centre cooperates with other Belgian scholars at the National Centre for Research in Logic and international researchers in philosophy of science research programmes. The Centre is very active in the organization of seminars and workshops in cooperation with researchers from abroad.The research projects and publications of the Centre cover the following areas:LogicMetaphysicsPhilosophy of MindPhilosophy of LanguageEpistemologyPhilosophy of Science (General)Philosophy of Mathematics, including probability theoryPhilosophy of Physics and ChemistryPhilosophy of BiologyPhilosophy of Cognitive and Social Sciences"
"Construction Technology, Ghent and Aalst Technology Campuses" "Sustainable BuildingsEnergy performance and indoor climate - Interaction building and HVAC systemsTimber construction and use of organic fibresSocial and ecological sustainability of buildings and communitiesLife cycle analysisBuilding Information ModellingCommissioning, building management and monitoring Structural Mechanics & Building MaterialsDurability-based design of concrete mixturesCombined degradation mechanisms in (cracked) concreteSustainable concreteGeomaticsData acquisition techniquesLaser scanning, PhotogrammetryGeo-data managementIntegration of multi-scale dataSurvey to BIMLarge scale topographic inventoryIntelligent data models"
"Computational and Applied Mathematics Programme" "1) mathematical and computational physics -study of sparse representations of functions -application to inverse problems (L1-penalization) -regularization methods for linear ill-posed problems -stability of inverse problems -design of fast reconstruction algorithms 2) Inverse problems in imaging and image processing -tomographic image reconstruction in nuclear medicine -related problems in applied mathematics -2D or 3D tomographic image reconstruction from incomplete data, such as in computer tomography (CT) 3) Design of new geometrical representations for images and video -study of geometrical basis functions related to scalable image compression -design of geometrical decompositions for video representation -design of scalable robust video codecs -compression 4) non-linear ill-posed inverse problems -Cauchy problem for elliptic partial differential equations -application to electrical impedance tomography 5) Finite group theory, incidence geometry, error correcting codes, connection with graph theory"
Geomatics "Maarten Vergauwen" Geomatics
"Mathematics, Kulak Kortrijk Campus" "Karel Dekimpe" "Research topics of this research unit are:• Crystallographic and Bieberbach groups and their generalizations, both from an algebraic and geometrical point of view.• Affine and polynomial structures for (virtual) polycyclic groups, conceptual and computational aspects and applications• Group actions on varieties, algebraic topological and geometric characteristics.• Topological fixed point theory.• Popularization of mathematics and exact sciences for pupils in secondary education (see Mathematics Olympiad)• Online, interactive practice for mathematics using a shared inventory of multiple choice questions (see USolv-IT)"
Analysis "Stefaan Vaes" "The research in this section is divided into two research groups. The group of classical analysis is mainly interested in orthogonal polynomials, special functions, approximation theory, Riemann-Hilbert problems and random matrices, whereas the functional analysis group focusses its attention on C*-algebras, von Neumann algebras, topological dynamics, geometric and measurable group theory and subfactors . There are however important synergies between both kinds of analysis."
"Instructional Psychology and Technology" "Lieven Verschaffel" "The CIP&T investigates learning and teaching in specific subject domains, esp. in mathematics. Emphasis is put on the role of cognitive, metacognitive as well as affective variables in the teaching/learning process. This research takes place in ecologically valid settings and uses a diversity of quantitative and qualitative methods, including design experiments aimed at the construction and validation of powerful learning environments. In the development and validation of these learning environments, the role of ICT receives special attention."
Mathematics "Uwe Einmahl" "The department DWIS includes research groups dealing with: - Algebra (ALGB) with research focussed on ring theory, groups and semi-groups; - stochastics (TWIS) - Topology, Algebraic Topology and Approximation theory (AATO)with focus on analytical and categorical topology, on algebraic topology and Approximation theory in Banach spaces. -CAMP (applied mathematics)"