There seems to be no end to the mathemagical things one can explore with a simple deck of cards, from algebra and combinatorics to probability and statistics.
In his talk, Colm Mulcahy explored how card tricks provide an entertaining and often surprising forum for mathematics.
The talk included demonstrations, and explored mostly new principles in mathemagic and their applications to card tricks.
Two special features included "The Father Ted" card trick, and examples of "two-person mathemagic", in which communication was done via nontrivial pre-agreed mathematical conventions.
The slides that accompanied Colm Mulcahy's talk can be downloaded here
His book, "Mathematical Card Magic: Fifty-Two New Effects" is available here
Colm Mulcahy is Professor of Mathematics at Spelman College (Atlanta, Georgia). His mathematical interests are broad, and he is a recipient of the Mathematical Association of America's Allendoerfer Award. His hobbies include inventing mathematical puzzles and card tricks, which have appeared at MAA.org and in The New York Times. Colm Mulcahy blogs at the Aperiodical and the
Huffington Post, and tweets at @CardColm.