On Baker's conjecture about knot concordance

Short introductory lectures

My research focuses on the study of knot concordance and related concepts, using the braid group as a tool to represent knots algebraically. Concordance is an equivalence relation on knots that generalizes the concept of isotopy in dimension 4. Much of my work so far has been motivated by Baker's conjecture, which claims that concordance implies isotopy for certain classes of knots. I will provide context for this conjecture and talk about related open problems.