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Research Interests Jeffrey Meier

Broadly, I am interested in knot theory, knotted surfaces, and the topology of three-manifolds and four-manifolds. In particular, I have a great interest in trisections of four-manifolds; four-dimensional knot theory, including fibered ribbon two-knots, knotted Klein bottles and projective planes, surgery operations, and bridge trisections; various aspects of knot concordance, including doubly slice knots, fibered ribbon knots, cabled slice knots, and applications of knot homology theories; and Dehn surgery, especially exceptional surgery and Seifert fibered surgery. For more information, see my Research Statement.

Publications

  1. Bridge trisections of knotted surfaces in 4-manifolds [arXiv] with Alexander Zupan
  2. Trisections and spun 4-manifolds [arXiv]
  3. Characterizing Dehn surgery on links via trisections [arXiv] with Alexander Zupan
  4. Bridge trisections of knotted surfaces in S4 [arXiv] with Alexander Zupan
    Transactions of the AMS, Vol. 369 (2017), 7343-7386
  5. Genus two trisections are standard [arXiv] with Alexander Zupan
    Geometry & Topology 21 (2017), 1583-1630
  6. Classifying trisections and the Generalized Property R Conjecture [arXiv] with Alexander Zupan and Trenton Schirmer -- Proceedings of the AMS, Vol. 144(11) (2016), 4983-4997
  7. A note on cabled slice knots and reducible surgeries [arXiv]
    Michigan Mathematics Journal Vol. 66, Issue 2 (2017), 269-276
  8. Doubly slice knots with low crossing number [arXiv] with Charles Livingston
    New York Journal of Mathematics, Vol. 21 (2015), 1007-1026
  9. Fibered ribbon disks [arXiv] with Kyle Larson
    Journal of Knot Theory and Its Ramifications, Vol. 24 (2015), 1550066, pp. 22
  10. Distinguishing topologically and smoothly doubly slice knots [arXiv]
    Journal of Topology 8 (2015) 315-351
  11. Small Seifert fibered surgery on hyperbolic pretzel knots [arXiv]
    Algebraic & Geometric Topology 14 (2014) 439-487
  12. Isolation-by-distance and outbreeding depression are sufficient to drive parapatric speciation in the absence of environmental influences with René Doursat, Rich Drewes, and Guy Hoelzer
    PLoS Computational Biology 4(7) (2008) 11 pp.

Videos and Slides

Here are some videos and slides from talks I've given.

Invited Talks

Below is a selection of invited talks I've given, along with links to some of the corresponding videos and slides.