Check your brakes before you mount. The cables/mountings could be frozen in place and there could be ice build-up on the rims or brake pads.
Test your brakes occassionally during your ride home to make sure they work. Ice can build up during your ride.
Check for ice build-up on your derailures as well.
Read some of the winter bicycling tips in the "Winter Biking" section of BF.C.
Good luck. Ride safe.