Confused if guy (25M) I work nearby likes me (25F)? Does he?

I’m confused if this guy (25M) who works an office down from me likes me (25F). I would call him my coworker, we are.. but aren’t. For background context, we both work in the math department. I work full-time in IT covering the math, stat, econ departments while finishing computer science engineering undergrad. He is a completing a PhD related to math, which I don’t want to state on here in case he’s on this subreddit.

So, this is our 2nd year we are working together/nearby. During the whole first year.. we would kinda see each other, make eye contact, all that.. but never said a word to each other or truly met. During a huge math meeting in a lecture hall.. my supervisor and I went to help set-up the software there and as we were walking up the stairs in the lecture hall we made eye contact and I could kinda tell he was looking at me. That whole time.. I legit thought he was like 30 something years old, a professor, married, all that. So he was just a random guy I worked with during the whole first year.

Summer happened.. everyone left for summer break and I stayed working all summer on campus. So just recently everyone came back for this semester. This semester, I started realizing him and I were making a lot more eye contact, seeing each other around/in the halls more often, and I was even sitting on the couch in the lobby waiting to leave work one day.. he came down the stairs and we smiled kinda nodded at each other. I ended up looking him up.. and realizing he wasn’t 30 and married lol.. we were both 25 and on the same wavelength.

(So for background context.. he walks past my office often to go through the door (that’s right next to my office) to go into the other hall since the buildings are connected).. so during the first year.. he would walk past decently often to go to the other hall. This year it seems like he does it more often which could mean something or doesn’t. But this past week.. he walked past and I kinda noticed him (expecting him to just go out the door like he usually does) but he turned and came to my door.. and was basically saying hey I just want to introduce myself and he said his name and I said my name.. he started walking away and I decided to call him back over and ask if he’s a math professor lol and he corrected me (saying that he’s a student) and asked if I just work full time or if I’m also a student, I told him that I’m also a student and we ended the conversation with a see you around. Later that day I was walking to a professors office and about ran into his.. lol I was like haha I’m so sorry and continued walking to the next door down. When I left to go to class he was coming down the hall so he saw me walk out.. when I left class a hr later he was on the first floor of that building talking to a diff professor. I didn’t even notice him there for a sec.

Since then.. on Friday and (today’s Monday)/today.. we haven’t really talked again. But I think he probably walked past my office like 10 times today. I wanted to talk to him again but felt nervous to. He walked his normal route back and forth many times and then even walked right in front of my door down the other hall. I really can’t tell if he’s just being nice and introducing himself since we work in the same hall (but diff departments).. or if he is gaining interest in me and wants to talk more? I can’t tell bc if he does like me I’ll have a lot more confidence to start another conversation with him. But I don’t want to assume he might like me then creep him out lol.

TLDR; I can’t tell if my coworker (25M) is interested in me (25F). Multiple situations of eye contact, he introduced himself and questioned me about my life (as I wrote more about above), and has been walking past my office even more now since then I feel like. Please send over any advice!

Please respond with any advice or a point of view you might have regarding this, thank you so much! :)