Description: This is an introductory course to contact topology. We will give a first glance at topics in contact topology and its relationship with peripheral subjects such as knot theory and symplectic topology. The course will be suitable for advanced undergraduate students and PhD students.Reference:Geiges, An Introduction to Contact TopologyKashiwara and Schapira, Sheaves on Manifold
IntroductionThis course will discuss topological modelling of combinatorial objects such as (di-)graphs and hypergraphs. The course will guide the students to read the relevant references on the topic for learning how to apply the theories in algebraic topology to the combinatorial objects. The course will also display some applications of algebraic topology in data analytics through topologica...