Solitons, Spectral Theory Graphs Educational Tools

University Of Maryland, College Park, College Park MD

Investigators

Abstract

DMS-0072700 Sergey Novikov The main objective of the principal investigator's research program is the unification of topology and geometry with analysis. He is especially interesing in specific results describing some phenomena in real world physics where topological features play a key role. In particular, such phenomena were found by the principal investigators's group in the conductivity of single crystal metals in the presence of strong magnetic field, in the theory of nonlinear waves (solitons), and in the theory of quantum wires (quantum mechanics on graphs). This award will support visitors and graduate students in the principal investigator's school of mathematics which is primarily concerned with the unification of topology and geometry with analysis. In this way young mathematicians can interact with a variety of outstanding scientists. These interactions include scientific meetings with visitors in miniseminars and attendance at short series of lectures by specially invited outstanding scientists. These interactions will help attract graduate students to the subject and improve the quality of their training at the beginning of their careers.