Life and Math Podcast

LaMP 6 Math. Nicholas Scoville: Homotopy, Simplicial Complexes, & Discrete Morse Theory


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In the math portion of the interview with Dr. Scoville, chair of the math department at Ursinus College in Pennsylvania, we hear about discrete topology. Dr. Scoville dove into discrete topology after his PhD as a way to more easily incorporate undergraduates into topology research. He talks about some of the structure involved in discrete topology including simplicial complexes. Along the way Dr. Scoville describes what a topology is as well as discussing the basics of homotopy. From there he discusses the emerging field of topological data analysis and his own specialty, discrete Morse theory. He gives an excellent description of the basic idea behind Morse theory and walks through a specific example in the discrete setting.
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Life and Math PodcastBy Life and Math

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