Schultens is the author of the book
Introduction to 3-Manifolds (
Graduate Studies in Mathematics, 2014). With Martin Scharlemann and Toshio Saito, she is a co-author of
Lecture Notes On Generalized Heegaard Splittings (World Scientific, 2016). Her dissertation research involved the classification of
Heegaard splittings of three-dimensional manifolds into
handlebodies, which she also published in the
Proceedings of the London Mathematical Society. Other topics in her research include the behavior of
knot invariants like
bridge number when knots are combined by the
connected sum operation, and the
Kakimizu complexes of knot complements and other spaces. ==Personal==