If you have been unsuccessful, you cannot re-apply to Queen Mary within the same academic year. You would need to wait until the following year to apply again.
However, in August you may have a chance of securing a place at Queen Mary through UCAS Clearing, on a different course to the one they were rejected for as unfortunately, you would not be eligible to apply for the course you were rejected for during the main cycle. This is in accordance with our Admissions policy and each university will operate differently.
Clearing generally opens on results day (however early clearing is available).