I identify myself as an applied topologist with broad interests. This means that I mostly work on developing topological and geometric tools for problems in science and engineering. However, since such problems require techniques from many mathematical disciplines I often venture out of the familiar realm of topology into the exciting unknown.
A large part of my research is focused on developing and implementing topological and geometric methods for data analysis. I have a bias towards biological data which is simply a consequence of my general interest in biological problems. Another such consequence is my work on investigating the structure and dynamics of biological networks, in particular, gene regulatory networks.
My work is both theoretical and applied, and the theoretical part is usually driven by applications. There's also a significant computational component. You may find further details on the type of work that I do in the Projects tab, which lists (well, will list) several projects that I'm currently working on.