Mathematics

The research is focused on realizations of noncommutative spaces in the context of deformation theory and their applications to geometry and physics. Specifically, we investigate realizations of the kappa-deformed space, the Lorentz and Poincare algebras as well as general Lie-algebra type noncommutative spaces by formal power series in the Heisenberg-Weyl algebras and their generalizations. We also study realizations of some Lie superalgebras which arise naturally in the geometry of differential forms on noncommutative spaces.

Vertex operator algebras, infinite-dimensional Lie algebras and superalgebras, W-algebras, conformal field theory

PhD Tatjana Stanivuk, CIVIL ENGINEERING, TRANSPORTATION SCIENCE & TECHNOLOGY, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

PhD Anita Gudelj, COMPUTER SCIENCE, INFORMATION SYSTEMS

PhD Igor Jelaska, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Goran Kovačević, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

The research topics represented cover a wide range of mathematical fields, from the theoretical to the most applied. There are three main themes, organized around teams and seminars:

   - Geometry and topology;

   - Dynamical systems, probability and statistics;

    - Analysis, stochastic phenomena and applications.