Spectral Geometry of Graphs

About this programme

This course gives an introduction to the geometry of metric graphs and their spectral properties. Specific contents: Metric graph as a singular manifold, differential operators on graphs, characteristic equation and spectrum, surgery of graphs, Laplace operator on metric graphs, trace formula, topology and spectrum, reducibility of secular polynomials, Diophantine analysis and the arithmetic structure of the spectrum, almost periodic functions and Ambarstumian's theorems, introduction to inverse problems, stable polynomials and crystalline measures. To follow your passion. To be close to international career opportunities. To explore city and countryside. In Stockholm you can really get the best of both worlds. Here we explain all the different steps you need to go through when applying to a course or programme. Stockholm University arranges regular webinars and participates in educational fairs and events virtually and around the world to meet students and inform them about our study programmes. Every year Stockholm University welcomes thousands of international students from all over the world. Each bringing their own backpack full of experiences, expectations and dreams. Education and research are closely linked at Stockholm University. As a student, you will have direct contact with leading researchers in your field and access to the most recent scientific findings. Are you wondering what former students thought about your programme? Are you curious about what your education can lead to after graduation? Hear from our alumni!