In my research I investigate the application potential of the tools of real and complex analysis and numerical optimization primarily in case of processing different medical signals (ECG, CT recordings, corneal images). Our goal is to improve on earlier methods with respect of speed and accuracy, and to offer new, modern alternatives in the area of storage, transmission and analysis of such signals.

In my research I investigate some of the mathematical foundations related to numerical analysis and signal processing such as matrix norms, orthogonal systems and Gabor transform. Some of my results are concerned with induction curves, surfaces and p-eigenvectors of matrices, my goal is to answer some open questions on this area.