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Discrete Morse theory as an introduction to topology

MathCats Event

Discrete Morse theory as an introduction to topology
MathCats Event
Location: MTL 124
Presenter: Dr. Nicholas Scoville, Chair of Mathematics and Professor of Mathematics and Computer Science at Ursinus College

Like algebra, geometry, and number theory, topology is one of the main branches of mathematics today.  Yet unlike algebra, geometry, and number theory, most people are not aware of what topology is.  Because of its abstract nature, explaining the main concepts found in topology can be challenging.  In this talk, we will discuss some of the main ideas in topology via an introduction to discrete Morse theory.  Discrete Morse theory is a tool used in topology, but viewing this tool from the right point of view can shed great lig

(Dr. Scoville is a leading expert on discrete Morse theory, and an engaging speaker. He runs the Ursinus REU, and will be drawing the content of his talk largely from research projects done with undergraduates. As such his talk may provide interesting examples of accessible introductory research projects for undergraduate students as well as a unique and accessible perspective into topology.)