Faculty of Natural and Agricultural Sciences
Department of Mathematics and Applied Mathematics
Abstract analysis, topology and applications, algebra
Banach space analysis and measure theory: Tensor products and operator ideals; geometry of Banach spaces; interplay between Banach space theory and measure theory. Operator algebras: Noncommutative analysis on C*-dynamical systems, with emphasis on the recurrence properties of such systems, and applications to quantum statistical mechanics.
Geometric algebra and abstract differential geometry.
Transformation groups.
Approximation theory and orthogonal polynomials.
Stochastic analysis and applications to the mathematics of finance.
Ring and module theory.
Theory of double families of evolution operators, their spectral theory and applications to dynamic boundary condition problems, the Navier-Stokes equations (existence and uniqueness results), problems in nonlinear elasticity theory and non-Newtonian fluid mechanics.
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