Title: A universal resolution of the Abel-Jacobi map
Abstract: It is well-known that the Abel-Jacobi map does not extend over the boundary of the moduli space of stable marked curves. We consider the problem of resolving this map by making blowups of the moduli space, with a particular focus on extending the double ramification cycle. We construct a certain `universal resolution' of the Abel-Jacobi map, and show that the resulting extension of the double ramification cycle coincides with that constructed by Li, Graber and Vakil via virtual fundamental classes.