Search Results: how can i ask this girl out

I’m wondering if this guy at work could have a crush on me or at the very least find me attractive. We work in completely different departments so there is minimal chance that our paths would cross in a work related context. Here is a list of his behaviours:

He is the one who started interacting with me. I noticed him gazing at me one day, our eyes met and he smiled at me.

The gazing/smiling happened a few times and he would always be the first to smile, I’d always be the first to look away.

When I eventually said hi to him, he smiled even more

He went through a phase of ignoring me and looking away when stood near me

When we do talk, he is smiling the whole time.
On our first proper interaction, he asked where I work and he said twice that he will have to come and “check it out”. I also told him what time I finish.

My friends said that they saw him walking past our office and staring into our office, ten minutes after I finished.

He acts somewhat awkward/fidgety when we walk and he sometimes backs away/walks away when we talk.

My work friends have noticed the way he looks at me. One saw us talking and she said “if my boyfriend looked like that at another girl, I’d be upset”

I was walking behind my friend and he was walking towards us. He was practically fixated on me and staring at me, then I looked at him, and he smiled at me.

I’ve never seen him talk to other random girls who aren’t in his department.

I’ve noticed that he will mess with his hair if I am nearby.

We sometimes make eye contact from afar.

Yesterday, as I turned around, I saw him looking away quickly which would indicate he was staring at me. And then as I was grabbing some cutlery, I looked up and he was staring at me.

There are some things I find confusing:

I’ve never caught him staring at me and looking at me loads
He never looks at my body, he just stares into my eyes and at my mouth
The whole walking away/backing away when I’m talking to him confuses me

What do you guys think?