Dear colleagues, We are looking for a talented researcher to work on a project *Localization for very sparse Erdös-Rényi graphs* at LMU Munich. The project focusses on spectral properties of very sparse Erdös-Rényi random graphs. This is a temporary position that can be filled by a PhD student or postdoc (Salary scale TV-L E13, full- or part-time, fixed term) to be started on 01 October 2023 or later. We are looking for candidates with excellent background in mathematical physics or probability theory. The project is part of the newly established SFB/CRC “Mathematics of Many-Body Quantum Systems and Their Collective Phenomena“ (München/Tübingen). Please contact Prof. Peter Müller (mueller@lmu.de <mailto:jansen@math.lmu.de>) or Prof. Markus Heydenreich (markus.heydenreich@uni-a.de <mailto:m.heydenreich@lmu.de>) for further information about the project. Interested candidates are invited to send a letter of motivation, curriculum vitae as well as name and contact details of two academic references to markus.heydenreich@uni-a.de <mailto:m.heydenreich@lmu.de>. Review of application begins on 10 July 2023 and shall continue until the position is filled. Best wishes, Markus Heydenreich and Peter Müller