Objective The leitmotif of my proposed research is the extraction of geometric information about graphs from the spectra of the graph's Schrödinger operators, and from the distribution of zeros of the corresponding eigenfunctions. The spectral geometric point of view shows intrigue links between quantum and combinatorial graphs, which go over towards higher dimensional domains. Therefore, the proposed research investigates spectral geometry for both quantum and combinatorial graphs and also makes connections between quantum graphs which are one dimensional objects and separable domains which are of higher dimension. In addition, I consider the mathematical physics point of view which spreads out of the pure spectral geometry. Fields of science natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicsgeometry Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-2013-CIG - Marie-Curie Action: "Career Integration Grants" Call for proposal FP7-PEOPLE-2013-CIG See other projects for this call Funding Scheme MC-CIG - Support for training and career development of researcher (CIG) Coordinator TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY EU contribution € 100 000,00 Address SENATE BUILDING TECHNION CITY 32000 Haifa Israel See on map Activity type Higher or Secondary Education Establishments Administrative Contact Mark Davison (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data