Why hasn't he asked me on a date?

Start with what he actually does in the conversation. Does he ask you things and remember details from earlier days? Does he bring up new topics, or only reply to yours? If he does those things consistently, the missing invitation is probably about timing, nerves, or not having a plan yet. If he answers late, gives short replies, and never starts anything, he may be keeping things casual or may not be interested enough to make the effort. Notice whether the energy holds steady over a week or two. One dull day means little. A pattern of fading means more. Look at the whole picture, not one message.

If you want to meet and he hasn't suggested it, the most useful thing you can do is open a door that's small and specific. Propose a concrete idea tied to something you've already talked about: a place you both mentioned, a time that's close, and an easy way out if it doesn't work. Don't ask for a commitment in the abstract, like "we should hang out sometime," because that invites a vague reply. Keep it light. It should sound like a normal suggestion from someone who's enjoying the conversation, not a bid for reassurance. If he gets enthusiastic, you have your answer. If he deflects, you still learned something without spending weeks guessing.

If you've made a specific suggestion and gotten no real answer, wait a day or two before following up. One follow-up with a lighter question is fine. A third is pressure. If he still won't commit, the chat is telling you it isn't heading toward a date, at least not with him. At that point it's reasonable to thank him for the conversation and stop putting time into it. You don't need to make it a confrontation. You just need to stop waiting. Set the deadline before you get anxious, so the decision feels like yours and not something you got stuck in.