I think it is typical behaviour among those shy/anxious people. Fear of attractive people, guys in authority or just people superior to them in some respect ( like more intelligent ones, more outgoing persons etc) which are perceived as some kind of "danger". To combat that "imaginary danger" we use different "safety behaviours". One of those behaviours is avoidance. All this stuff comes from low self-esteem which is mainly based on experiences in our lives, childhood or stressess we are exposed to or current difficulties we are going through. If you are really interested in that guy you are talking about in your posts so then initiative is on your side. Give it a go.I know it is gonna be difficult for you to arrange some interactions with him as you are shy person as well.To make matters worse,From the beginning of mankind, It was customary for men to make a first move towards women, to be a "hunter" ( anyway,do you have some experience with men?) Is he so unapproachable person that normal converstation with him is out of the question? Or eventually he might do fine with you if he would be exposed to that fear (your person in this case) more often so that debilitating anxiety would go away?! Yes, I think exposure is the key. P.s. He could be embarrassed to ask you out due to the fact that you work in the same company and his anxious anticipation of his perspective failure with you could put him off ( you know, people gossip etc). Generally,others opinions are very important for socially anxious people.
I wonder anyway if you are not going to run out of patience with him just to meet someone more confident and straightforward. Ok, good luck and report progress!