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

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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]

Research

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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]

Personal

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Schultens is married to mathematician Michael Kapovich.[9]

References

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  1. ^ Birth year from copyright information in Introduction to 3-Manifolds
  2. ^ "Jennifer Schultens", People, UC Davis Mathematics, retrieved 2019-12-13
  3. ^ Jennifer Schultens at the Mathematics Genealogy Project
  4. ^ Reviews of Introduction to 3-Manifolds:
  5. ^ Reviews of Lecture Notes On Generalized Heegaard Splittings:
  6. ^ MR1226608, reviewed by Michael Motto.
  7. ^ MR2018265, reviewed by Genevieve S. Walsh
  8. ^ MR2746341, reviewed by Wolfgang H. Heil; MR3553162, reviewed by Gabriela Hinojosa; MR3848403, reviewed by Michael Heusener.
  9. ^ Hironaka, Eriko (March 9, 2017), "Author Interview: Jennifer Schultens", Book Ends: Conversations about math books, American Mathematical Society
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