Research interests:
Variational analysis, Nonsmooth and nonconvex optimization, Mathematical programs with equilibrium constraints (MPEC), Generalized equations and variational inequalities, Stability and sensitivity analysis of optimization problems, Generalized differentiation and coderivatives, Newton-type methods for nonsmooth problems, Bilevel and disjunctive optimization
Variational analysis, Nonsmooth and nonconvex optimization, Mathematical programs with equilibrium constraints (MPEC), Generalized equations and variational inequalities, Stability and sensitivity analysis of optimization problems, Generalized differentiation and coderivatives, Newton-type methods for nonsmooth problems, Bilevel and disjunctive optimization
Publications: list
Short bio
Helmut Gfrerer is a researcher in mathematical optimization and variational analysis. His work focuses on the theoretical foundations of nonsmooth and nonconvex optimization, with particular emphasis on generalized equations, variational inequalities, and mathematical programs with equilibrium constraints (MPECs).
A central theme of his research is the study of stability and sensitivity properties of solution mappings, including concepts such as metric regularity, subregularity, and the Aubin property. He develops tools based on generalized differentiation, including coderivatives and graphical derivatives, to analyze the local behavior of complex optimization systems.
In addition to theoretical contributions, he works on the design and analysis of efficient numerical methods, such as semismooth Newton-type algorithms, for solving nonsmooth and equilibrium-based optimization problems. His research connects deep mathematical theory with algorithmic approaches applicable to challenging problems in optimization and applied mathematics.