There is this lady at the gym who has been catching my eye lately. We have made eye contact but not much more than that. We have seen each other maybe 4 times now.

I know her routine at this point. 1.5 hrs cardio, stretch on the mats, and leave. No lifting. Same time each day.

I have not said anything to her at this point.

Details I have noticed.
1) Always uses headphones and does not take them off even when she stretching or on her way out to the car.
2) Looks like she dresses up for the gym. Always looks good, no sweats.
3) Wears the same long earings each and everyday. Maybe this is a talking point.
4) Has a bracelet with a heart on it. Maybe from boyfriend, maybe from daddy.

Not much else I can comment on. I am about 90% certain she is an undergrad. I am a graduate student.

How can I go about approaching this woman? What would be the best way to make her feel somewhat comfortable.

Thanks for the help gentlemen.