A knot-theoretic tour of dimension four

Singularities and low dimensional topology. Lecture notes of the spring semester 2023, Erdos Center, Budapest, Hungary 2023, volume 30 of Bolyai Soc. Math. Stud. Cham: Springer, 2024 These notes follow a lecture series at the "Singularities and low dimensional topology" winter school at the R\'enyi Institute in January 2023, with a target audience of graduate students in singularity theory and low-dimensional topology. The lectures discuss the basics of four-dimensional manifold topology, connecting this rich subject to knot theory on one side and to contact, symplectic, and complex geometry (through Stein surfaces) on the other side of the spectrum.