Two-Dimensional Computational Topology

Explore two-dimensional computational topology through this comprehensive lecture series delivered at Institut Henri Poincaré during a specialized school on low-dimensional geometry and topology. Learn from Jeff Erickson of the University of Illinois at Urbana-Champaign as he presents fundamental concepts and advanced techniques in computational topology across five detailed lectures spanning over six hours. Discover how mathematical topology intersects with computer science through algorithmic approaches to two-dimensional problems. Gain insights into discrete geometric structures and their computational applications while examining topology from both mathematical and computer science perspectives. Master essential algorithms and theoretical foundations that bridge pure mathematics with practical computational methods in this field that combines geometric intuition with rigorous algorithmic analysis.