My main research interests involve the study of neural information processing, neural coding and information representation in biological systems. In particular I am interested in understanding information processing functions of neural ensemble activity and the biological mechanisms through which these functions are implemented. Quantitative tools that I apply to achieve my research goals come mostly from branches of applied probability (information theory, signal processing theory, multivariate statistics, stochastic differential equations), dynamical systems theory and group theory. Many other branches of mathematics and statistics - optimization, operations research, and differential geometry being the ones I used most recently - are applicable in particular stages throughout my research. Furthermore, I hold the opinion that a biological system is understood sufficiently well when it can be modeled through an engineered artifact. Thus, my research has natural connections to applied engineering, through which information processing structures and functions of biological sensory systems can be translated into algorithms and signal processing devices.
