My research interests are broadly spread over analysis, geometry and problems from mathematical physics. The problems I work on often lie in the area of interplay between global analysis, index theory and spectral theory. In particular, I am interested in the more analytic aspects of noncommutative geometry and its applications in these areas. In many of the questions I study, the starting point is to use operators on Hilbert spaces to study geometry, often reducing geometric problems to analytic problems. Conversely, I also work on applying geometric ideas of an index theoretical nature to study analytic problems. To read more about my work, you can read my papers on the arXiv or check out my personal homepage (see links to your right).