Georgia Institute of Technology College of Sciences

I'll introduce you to one of my favorite knotted objects: fibered, homotopy-ribbon disk-knots. After giving a thorough overview of these objects, I'll discuss joint work with Kyle Larson that brings some new techniques to bear on their study. Then, I'll present new work with Alex Zupan that introduces connections with Dehn surgery and trisections. I'll finish by presenting a classification result for fibered, homotopy-ribbon disk-knots bounded by square knots.