Something else to maybe consider, particularly in regards to time travel stories and ticking clocks -- in Back to the Future Marty is trapped in 1955, and his only hope back to the future (present) is the lightning strike on the clock-tower -- one tiny little shot and a clear and present ticking clock (and it's literal as it takes the form of a CLOCK tower...)-- he HAS to get his parents together before that lightning strikes or he'll either cease to exist, or at best, be trapped in good ol 1955 for good. Mega high stakes and a loud clicking clock.
In Bill and Ted's Excellent Adventure -- they too are trapped in a time warp as the antenna on their public phone cum time machine is busted -- what's the ticking clock? They have to present their history project by the close of the school day. As Nicholasanrewhalls mentioned, they do a bit of tom foolery to work around this when they end up getting locked up -- but still they are trapped, and there is a deadline.
In Hot-tub Time Machine -- they have to retrieve the can of Chernobly before a certain time (12 o'clock -- or something, I forget...) or they too will be trapped in 1986...
So -- If your Math guy gets caught in a time warp, trapping him in the 13th century, what does he have to do to get back?
Anyway -- good luck with it. Hopefully my earlier post doesn't come across too harshly -- I've just got a thing about time travel movies :)