Grants

10/01/2018 - 09/30/2022	AF: Small: Collaborative Research: Effective Numerical Algorithms and Software for Nonlinear Eigenvalue Problems. Naional Science Foundation (NSF) Award #1812927
01/01/2020 - 05/17/2020	Research Funding, Lawrence Livermore National Laboratory
07/01/2019 - 06/30/2022	General Research Fund (GRF) Grant, University of Kansas
09/2017 - 08/2022	Collaboration Grant for Mathematicians, Simons Foundation (terminated because of the NSF Award)
April 1, 2018	The Midwest Numerical Analysis Day, NSF Conference DMS Award 1747624
04/2017 - 04/2019	New Faculty General Research Fund (NFGRF) Grant, University of Kansas
06/2014 - 05/2017	Einstein Center for Mathematics Berlin (ECMath), Project OT3
03/2014 - 11/2014	DFG Research Fellowship at EPFL

Research Interests

My research covers subjects in numerical analysis for partial differential equations and numerical linear algebra, with a focus on the numerical solution of symmetric and nonsymmetric eigenvalue problems, adaptive finite element methods, a priori and a posteriori error analysis for PDEs including discretization and approximation errors.

My current research is concerned with iterative solvers for challenging large scale linear systems and linear and nonlinear eigenvalue problems, approximation of matrices, data analysis, machine learning, model reduction techniques and stability analysis of dynamical systems. I conduct research in a range from theoretical investigations for problems motivated by engineering applications through to developing advanced computational methods of practical industrial relevance.