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Jennifer Carol Schultens (born 1965) [1] is an American mathematician specializing in low-dimensional topology and knot theory. She is a professor of mathematics at the University of California, Davis. [2]
Schultens earned her Ph.D. in 1993 at the University of California, Santa Barbara. Her dissertation, Classification of Heegaard Splittings for Some Seifert Manifolds, was supervised by Martin Scharlemann. [3]
Schultens is the author of the book Introduction to 3-Manifolds (Graduate Studies in Mathematics, 2014). [4] With Martin Scharlemann and Toshio Saito, she is a co-author of Lecture Notes On Generalized Heegaard Splittings (World Scientific, 2016). [5]
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. [6] Other topics in her research include the behavior of knot invariants like bridge number when knots are combined by the connected sum operation, [7] and the Kakimizu complexes of knot complements and other spaces. [8]
Schultens is married to mathematician Michael Kapovich. [9]
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