CORDIS Project
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This project investigates the relationship between the geometry of graphs and the spectra of their Schrödinger operators. By examining these connections, the research aims to uncover insights that bridge quantum and combinatorial graph theory, extending into higher-dimensional spaces.
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 connecti…
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