Jennifer Schultens

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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]

Contents

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. [3]

Research

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

Schultens is married to mathematician Michael Kapovich. [9]

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References

  1. Birth year from copyright information in Introduction to 3-Manifolds
  2. "Jennifer Schultens", People, UC Davis Mathematics, retrieved 2019-12-13CS1 maint: discouraged parameter (link)
  3. Jennifer Schultens at the Mathematics Genealogy Project
  4. Reviews of Introduction to 3-Manifolds:
  5. Reviews of Lecture Notes On Generalized Heegaard Splittings:
    • Manjarrez Gutiérrez, Fabiola, zbMATH, Zbl   1356.57004 CS1 maint: untitled periodical (link)
    • Zupan, Alexander, Mathematical Reviews, MR   3585907 CS1 maint: untitled periodical (link)
  6. MR 1226608, reviewed by Michael Motto.
  7. MR 2018265, reviewed by Genevieve S. Walsh
  8. MR 2746341, reviewed by Wolfgang H. Heil; MR 3553162, reviewed by Gabriela Hinojosa; MR 3848403, reviewed by Michael Heusener.
  9. Hironaka, Eriko (March 9, 2017), "Author Interview: Jennifer Schultens", Book Ends: Conversations about math books, American Mathematical Society