Jennifer Carol Schultens (born 1965) is an American mathematician specializing in low-dimensional topology and knot theory. She is a professor of mathematics at the University of California, Davis.
Education
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.
Research
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
Schultens is married to mathematician Michael Kapovich.
References
- Birth year from copyright information in Introduction to 3-Manifolds
- "Jennifer Schultens", People, UC Davis Mathematics, retrieved 2019-12-13
- Jennifer Schultens at the Mathematics Genealogy Project
- Reviews of Introduction to 3-Manifolds:
- Zimmermann, Bruno, zbMATH, Zbl 1295.57001
{{citation}}: CS1 maint: untitled periodical (link) - Purcell, Jessica S., Mathematical Reviews, MR 3203728
{{citation}}: CS1 maint: untitled periodical (link) - Berg, Michael (July 2014), "Review", MAA Reviews, Mathematical Association of America
- Cap, A. (September 2016), Monatshefte für Mathematik, 181 (3): 751–752, doi:10.1007/s00605-016-0971-4, S2CID 189793793
{{citation}}: CS1 maint: untitled periodical (link)
- Zimmermann, Bruno, zbMATH, Zbl 1295.57001
- Reviews of Lecture Notes On Generalized Heegaard Splittings:
- MR1226608, reviewed by Michael Motto.
- MR2018265, reviewed by Genevieve S. Walsh
- MR2746341, reviewed by Wolfgang H. Heil; MR3553162, reviewed by Gabriela Hinojosa; MR3848403, reviewed by Michael Heusener.
- Hironaka, Eriko (March 9, 2017), "Author Interview: Jennifer Schultens", Book Ends: Conversations about math books, American Mathematical Society
External links
- Home page
- Jennifer Schultens publications indexed by Google Scholar