Paul Melvin

Paul Melvin is researching the topology of 3- and 4-manifolds. Recently, he has focused on the study of 4-dimensional “corks,” including the construction of families of exotic 2-sphere embeddings in 4-manifolds via “symmetric corks,” and of “equivariant corks.” He is also interested in applications of Heegaard-Floer theory to questions in knot concordance and 3-manifold complexity.