December 6, 2019
Bijections: Sometimes It Counts Not To Count
(Elks Club in Des Plaines)
Counting is one of our first questions in mathematics: “How many are there?” Some objects are easy to count, while others are a lot harder. An important combinatorial technique centers on the use of bijections to give a one-to-one correspondence between a familiar collection of objects and an unfamiliar one. We will explore several examples of bijections, and how they can be used to answer questions that would have been quite difficult to answer without them.
Bridget Tenner is a Professor of Mathematics in the Department of Mathematical Sciences at DePaul University. She received her AB and AM degrees in mathematics from Harvard University and her PhD in mathematics from MIT, advised by Richard Stanley. She has been at DePaul University since 2007, and her primary research focuses on enumerative, algebraic, and topological combinatorics. Her mathematical specialties relate to structural analyses of Coxeter groups and permutation patterns, and her interdisciplinary work involves redistricting issues and voting procedures.
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