Gray area interview: Questions are legal if they allow the employer to assess whether you can, in general, fulfill the job’s tasks.
We’re talking about the same thing. Fresh graduates are reluctant to describe their skills with terms like project management since they assign such terms solely to industry. It is more helpful if you look at the substance of what you’ve been up to over the last few years; then describe it using terms that are familiar to your readers. This is not bragging, but translation work.
Have you ever thought about working for a startup? Or maybe you even want to go one step further: your research has some promising applications and you’ve actually thought about starting your own company? The world of startups is very exciting, but it requires skills and knowledge that aren’t as critical when working for an established company.