I identify myself as an applied topologist with broad interests. This means that I like developing topological and geometric tools for problems in science and engineering. However, since such problems require techniques from many disciplines, I often venture out of the familiar realm and sample a variety of scientific areas.
A large part of my research has been 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. The latter also made me interested in the field of applied dynamical systems as well as in the structure and dynamics of biological 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 some details on the type of work that I do in the Projects tab.