Same issue in the same location. Solutions tried: windowed mode, reduced resolution (from 1920x1080 to 1280x720, still in windowed mode), turn off AA, turn off dynamic shadows, turn off motion blur, turn off anisotropic filtering, turn off sound, use Origin repair game function (twice), set processor affinity to use single core (I run an i7) and it still locks up about one or two steps on the other side of the door. At least in windowed mode, I can bring up the task manager and kill the process; it takes a hard reset in full screen mode.
Have not run into this problem on any other playthrough and I was playing this on day one. Current game installation was about five days ago. Configuration utility says I'm patched to 1.05 and I'm running all non-MP DLCs. I will try restarting the mission since that's the only solution that I haven't tried yet.
EDIT/UPDATE: restarting the mission seems to have done it. I left all other changes in place except for turning the sound back on and letting the game have all processor cores again. Went back to normal settings once back on the Normandy.
EDIT/UPDATE II: to add to the puzzlement and confusion, I had to play through the mission a third time (<facepalm> forgot to pick up a weapon after making it past the door in windowed mode </facepalm>). I did not hit the freeze again, even though everything had been put back to regular settings. Go figure.