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.

Recent research interests

Applied algebra, symbolic computation, and computer algebra systems
Integro-differential algebras, equations, and boundary problems
Operator algebras and algebraic systems theory
Positive solutions of generalized polynomial equations
Reaction networks and applications in systems biology
Polyhedral geometry and optimization with applications in metabolic networks