Room from May 28 to Oct 20 (flexible dates)

Hi :)
I'm Paolo, 23 years old. I'm an Italian master's student of Politecnico di Torino moving to Munich by the end of May to carry out my master's thesis at TUM. I've been doing it already for some weeks remotely from home, but now I'm looking forward to being in Munich and go on in presence.

I'm looking for a room (in a shared flat, a dorm or a 1-room flat) from the end of May to around the 20th of October (flexible on both). Better if the accommodation is around TUM in Maxvorstadt, but I consider also farther locations.
My budget is 550€ per month all-included, but let me know even if you've something interesting for a higher price (I might be forced to increase my budget in case I don't find anything).

Something about myself now. University takes much of my time, but when I'm not studying, I love to share ideas and experiences with people and I'm thrilled about discovering more about Munich and German culture. I'm passionate for sports and mountains, which means in my free time I often go for a run or I organize a trip to the mountains or a football match. But I enjoy taking part in game or movie nights or whatever event is shared with friends (it doesn't have to be with flatmates if they don't want to / have other plans).
I've lived in shared flats in university cities (also abroad for Erasmus) for the past 4 years and I give my best to keep my place clean and welcoming, which I hope to receive from the other tenants as well. Plus, I enjoy tasting other cuisines and to share the Italian one. The only thing I'm against is "ketchup spaghetti", but we can negotiate about it.

If you have anything for me, let me know.

Cheers :)