Projects
Dual pairs and Dirac cohomology for deformations of Weyl algebras Ghent University
The goals of this project are to determine novel algebraic structures, classify their representations and study the connection with Dirac cohomology.
By studying the symmetries of deformations of the Dirac operator interesting algebraic structures arise, which do not appear in the undeformed setting. More specifically, we work inside a deformation of the Weyl algebra of linear differential operators with polynomial coefficients, ...
Exploring the frontiers of optics of Dirac materials. University of Antwerp
Construction of symmetry algebra realizations using Dirac operators Ghent University
The main aim is to construct new concrete realizations of the Lie superalgebra osp(1|2n) using Dirac operators, in the framework of Clifford analysis. These realizations will subsequently be studied from a function theoretical point of view. In particular, we wish to construct generalized integral transforms that intertwine the generators of the superalgebra. Also the connection with transvector algebras will be investigated.
Symmetry in symplectic and Dirac geometry University of Antwerp
Construction of symmetry algebra realizations using Dirac operators. University of Antwerp
CINAC, a major globally emerging chronic renal disease of unknown origin: unraveling the molecular mechanism and etiology to allow diagnostic tool development. University of Antwerp
2D-Dirac materialen voor terahertz-band nanoantennes. KU Leuven
Finite-Difference Time-Domain (FDTD) Modelling Algorithms for Transition Metal Dichalcogenides (TMDCs) in Nanoelectronic, Spintronic and Valleytronic Devices Ghent University
Two-dimensional (2D) materials attract a lot of interest for the development of novel nanoelectronic devices, owing to their monolayer nature, which allows for integration in planar devices. The most well-known example of such a material is graphene. Another class of 2D materials are transition metal dichalcogenides (TMDCs), which exhibit similar properties as graphene (superior carrier mobility, high cut-off frequency, etc), but are still ...