Rstudio tries to access parent directories where I don't have access rights and crashes

A possible reason can be that Rstudio (along with R), saves your session to a .Rdata (either by default or possibly because you clicked "Yes" when it asked to save the workspace to .Rdata). R does this to track reproducibility of a session i.e. to determine the last state when Rstudio was closed (or crashed in your case). And now its trying to restore an exception , which cannot be reproduced as it requires opening up the file and running it (and opening it, is what you want in the first place).

Note that as per RStudio Documentation: .Rproj.user also stores project-specific temporary files (e.g. auto-saved source documents, window-state, etc.).

• A recommended solution to this is to set option for never saving the session data i.e. every time Rstudio starts , it is starting with a clean slate for your project. If you are concerned about loosing the commands you ran in your last session , set the option of Always Save History (Even when not saving .RData). See the image below to set things as a default (sourced from Hadley's Comment):

The same settings are also present for a Project too: