On a hunch I tried something... So, I was using WiFi to play GW2 on my laptop. Is anyone else having this issue using a wireless connection? Anyway, I tried using an ethernet (wired) connection instead of WiFi. Since I have swapped to ethernet, I haven't had any more disconnects after 2 storylines. Update this post if you are using WiFi and switching to a wired ethernet connection fixed your disconnections.