Research

A unifying theme in my research is the combination of algebraic and geometric methods and symbolic computation to treat problems coming from analysis and applications. I am interested in aspects ranging from purely algebraic over constructive and algorithmic considerations to the development of software for computer algebra systems.

Research interests

Applied algebra and symbolic computation
Computer algebra systems and software
Integro-differential algebras and operators
(Integro)-differential equations with boundary conditions, boundary problems, and Green’s operators
Algebraic systems theory
Chemical reaction networks and applications in systems biology
Applications in actuarial sciences and risk theory, construction of wavelets
Reinforcement learning, Markov decision processes, and dynamic programming
Algebraic geometry