Yes, it appears that mathematics may be used to provide descriptions of all possible universes. That a particular description applies to ours may be verified only by experiment and observation. When it is verified, it becomes evident that our universe conforms to particular mathematical model. We can then see that mathematicians have discovered something of the underlying mathematical structure to our universe. One might, therefore, conclude that mathematics is embedded in reality, and is merely awaiting discovery by mathematicians.

"Time is what prevents everything from happening at once" - John Wheeler