General Profile

Schultens

Jennifer Schultens

Professor
Topology, Knot Theory
Ph.D., 1993, University of California, Santa Barbara

Web Page: http://www.math.ucdavis.edu/~jcs/
Email: jcs@math.ucdavis.edu
Office: MSB 3145
Current Courses: MAT 215C
Office Hours: by appointment
Phone: 530-754-0267

Publications:
Preferred listing: https://www.math.ucdavis.edu/~jcs/publications.html
Math arXiv
AMS Math Reviews
Google Scholar

Research

Jennifer Schultens works in 3-dimensional manifolds. Her interests include Heegaard splittings, complexes that encode information pertaining to topological structures on 3-manifolds, normal surface theory, knot theory and hyperbolic geometry.

Selected Publications

  1. J. Schultens. "Heegaard splittings of graph manifolds," Geometry and Topology, 8: 831-876, 2004, arXiv:math.GT/0406197.
  2. J. Schultens, R. Weidmann. "Destabilizing amalgamated Heegaard splittings," Geometry and Topology Monographs, 12: 319-334, 2007, arXiv:math/0510386.
  3. J. Schultens, R. Weidmann. "On the geometric and the algebraic rank of graph manifolds," Pacific J. Math., 231(2): 481-510, 2007.
  4. J. Schultens. "Width complexes of knots and 3-manifolds," Pac. J. Math., 239(1): 135-156, 2009.
  5. P. Przytycki, J. Schultens. "Contractibility of the Kakimizu complex and symmetric Seifert surfaces," Trans. Amer. Math. Soc. 364 (2012), no. 3, 1489–1508.
  6. J. Schultens. "Kakimizu complexes of Seifert fibered spaces. Algebr. Geom. Topol. 18 (2018), no. 5, 2897–2918.

Honors and awards

 

  • NSF Postdoctoral Fellowship 1995-1997
  • NSF Grants 1998-2001, 2002-2005, 2006-2009, 2009-2012

Last updated: 2023-10-05