2016 Lecture Series with Nigel Boston, University of Wisconsin‑Madison
“Overview of Applied Algebra” – video – slides
Abstract: I shall give a somewhat personal introduction to applied algebra, starting with coding theory and cryptography and then leading to a wide variety of topics.
“Entropy Regions and the Four-Atom Conjecture” – video
Abstract: I shall introduce entropy regions, motivated by network coding, and then note how they are equivalent to something in finite group theory, allowing us to address fundamental questions regarding these regions.
“Low-Rank Matrix Completion” – video
Abstract: “I shall describe recommender systems such as Netflix, which seek to complete arrays from sparse data, and explain our recent work using algebraic geometry to obtain uniqueness results.
“Belgian Chocolate Problem” – video
Abstract: I shall introduce the Belgian Chocolate Problem, a question from robust control theory amenable to algebraic attack and mysteriously connected to the abc conjecture, and a few other open odds and ends.