MATH 735: Computational and Applied Topology

This course gives a basic introduction to computational and applied aspects of topology. It is a combination of topics from geometry, topology, and algorithms and concentrates on topics such as graphs, surfaces, triangulations, complexes, homology, cohomology, duality, Morse theory, persistent homology, spectral sequences, and stability. It is also demonstrated how some of these methods can be used in applied situations and in the study of dynamics.Offered by Mathematics. May not be repeated for credit.