Flat / Room at Leipzig from 1.June to 1.December 2017

I'm student in Bremen and I'm planning to do an internship in Leipzig approximately from 1.June to 1.December 2017. Thus, I need a place to stay there during that period.
I don't mind having my own 1 room apartment or sharing a flat with kind people :), but I would prefer the location close to city center.

Small description about me:
I'm originally from Kyrgyzstan and speak English, Russian and Turkish languages. I'm in process of learning German. I would prefer to live with non-smokers, but not really critical about that. I also wouldn't prefer having pets in the house, except cats. Other than that, I'm a friendly neighbor, who is not loud and wouldn't bother you very much. I'm willing to cook&eat together and to share the apartment duties.