Academic Calendar 2022/2023 - Computational Topology
MATH 5237 Computational Topology
Prerequisites:
MATH 5066Credits:
3Description:
Computational topology is the study of algorithms and methods for solving topological problems. This course is an introduction to this emerging area. Topics include the topology of cell complexes, homology, discrete differential geometry, and topological data analysis. Concepts will be motivated through practical applications in biology, imaging, curve and surface reconstruction from point clouds, high-dimensional data analysis, motion planning, clustering, combinatorial optimization, and problem solving using mathematical software.