Open Problems in Geometry of Curves and Surfaces

We collect dozens of well-known and not so well-known fundamental unsolved problems involving low dimensional submanifolds of Euclidean space. The list includes selections from differential geometry, Riemannian geometry, metric geometry, discrete or polyhedral geometry, geometric knot theory, theory of convex bodies, and integral geometry. The common thread through these selections are the simplicity and intuitive nature of the questions. Extensive bibliography and historical background are included for each set of problems.