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]
Education
editSchultens 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]
Research
editSchultens 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]
Personal
editSchultens is married to mathematician Michael Kapovich.[9]
References
edit- ^ 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
edit- Home page
- Jennifer Schultens publications indexed by Google Scholar