How Long Should I Wait After a "I’ll be in touch soon" reply, to follow Up?
A reply is appropriate after a few days. Say you are (very) interested in the position and ask if there are other actions you should take at this time.
Asking for something specific is more likely to result in a follow up reply than just the &quot;thanks&quot;.
If you have specific time constraints, not just worries, you should probably mention them. But academic time can have a very slow clock at times. This is one of those times.