Kenneth L. Baker

Ungar 407, 305.284.2160
Department of Mathematics
University of Miami


  1. Appendix to Unknotting numbers for prime θ-curves up to seven crossings, by Dorothy Buck and Daneille O'Donnol, Preprint 2017 
  2. Asymmetric L-space knots, with John Luecke, Preprint 2017 
  3. Seifert vs slice genera of knots in twist families and a characterization of braid axes, with Kimihiko Motegi, Preprint 2017 
  4. The Poincare homology sphere, lens space surgeries, and some knots with tunnel number two,
    with appendix by Neil Hoffman, Preprint 2015.
  5. Closed essential surfaces in the complements of large volume Berge knots, Preprint 2005.


  1. Boundary-reducing surgeries and bridge number, with R. Sean Bowman and John Luecke, To appear in Comm. Anal. Geom.
  2. Non-characterizing slopes for hyperbolic knots, with Kimihiko Motegi, To appear in Algebr. Geom. Topol. 
  3. Dehn filling and the Thurston norm, with Scott Taylor, To appear in J. Diff. Geom.
  4. Twist families of L-space knots, their genera, and Seifert surgeries, with Kimihiko Motegi, To appear in Comm. Anal. Geom.
  5. Tight fibered knots and band sums, with Kimihiko Motegi, Mathematische Zeitschrift, 286(3), 1357--1365
  6. Montesinos knots, Hopf plumbings, and L-space surgeries, with Allison H. Moore, To appear in Math. Soc. Japan.
  7. The spectrum of the growth rate of the tunnel number is infinite, with Tsuyoshi Kobayashi and Yo'av Rieck, Proc. Amer. Math. Soc. 144 (2016), no. 8, 3609--3618.
  8. A note on the concordance of fibered knots, Journal of Topology 2015
  9. Bridge number and integral Dehn surgery.
    with Cameron Gordon and John Luecke, Algebr. Geom. Topol. 16 (2016), no. 1, 1--40
  10. Some knots in S1 x S2 with lens space surgeries.
    with Dorothy Buck and Ana Lecuona, Comm. Anal. Geom. 24 (2016), no. 3, 431--470.
  11. On the topology of initial data sets with higher genus ends. with Gregory Galloway, Comm. Math. Phys. 336 (2015), no. 1, 431--440.
  12. Nonlooseness of nonloose knots.
    with Sinem Onaran, Algebr. Geom. Topol. 15 (2015), no. 2, 1031–1066.
  13. Counting genus one fibered knots in lens spaces, Mich. Math. J. 63 (2014) no. 3, 553--569.
  14. On manifolds with multiple lens space fillings.
    with Brandy Guntel Doleshal and Neil Hoffman, Bol. Soc. Mat. Mex. (3) 20(2014) no. 2, 405--447.
  15. A cabling conjecture for knots in lens spaces, Bol. Soc. Mat. Mex. (3) 20(2014) no. 2, 449--465.
  16. Bridge number, Heegaard genus and non-integral Dehn surgery.
    with Cameron Gordon and John Luecke,Trans. Amer. Math. Soc. 367 (2015), no. 8, 5753–5830.
  17. Obtaining genus 2 Heegaard splittings from Dehn surgery.
    with Cameron Gordon and John Luecke, Algebr. Geom. Topol. 13 (2013), no. 5, 2471–2634.
  18. Site specific recombination on unknot and unlink substrates producing two-bridge links. (Survey)
    in N. Jonoska, M. Saito (Eds.), "Discrete and Topological Models in Molecular Biology", Springer, Natural Computing Series, 2013, ISBN 978-3-642-40192-3.
  19. Character varieties of once-punctured torus bundles with tunnel number one.
    with Kathleen Petersen, Int. J. Math. 24 (2013) no. 6,
  20. The Classification of Rational Subtangle Replacements between Rational Tangles.
    with Dorothy Buck, Algebr. Geom. Topol. 13 (2013) 1413--1463
  21. The Poincare homology sphere and almost simple knots in lens spaces.
    Proc. Amer. Math. Soc. 142 (2014), no. 3, 1071–1074.
  22. Cabling, contact structures and mapping class monoids.
    with John Etnyre and Jeremy Van Horn-Morris, Differential Geom. 90 (2012), no. 1, 1--80.
  23. Rational linking and contact geometry.
    joint work with John Etnyre, in "Perpsectives in Analysis, Geometry, and Topology", Progr. Math., 296, Birkhuser/Springer, New York, (2012).
  24. Taxonomy of DNA Conformations within Complex Nucleoprotein Assemblies
    with Dorothy Buck, Progress Theoretical Physics Supplement (2011), no. 191, 55--65.
  25. Once-punctured tori and knots in lens spaces.
    Comm. Anal. Geom. 19 (2011), no. 2, 347--399.
  26. Grid diagrams and Legendrian lens space links.
    with Elisenda Grigsby, J. Symplectic Geom. 7 (2009), no. 4, 415--448.
  27. Tunnel number one, genus one fibered knots.
    with Jesse Johnson and Elizabeth Klodginski, Comm. Anal. Geom. 17 (2009), no. 1, 116.
  28. Surgery descriptions and volumes of Berge knots. II. Descriptions on the minimally twisted five chain link.
    J. Knot Theory Ramifications 17 (2008), no. 9, 1099--1120.
  29. Surgery descriptions and volumes of Berge knots. I. Large volume Berge knots.
    J. Knot Theory Ramifications 17 (2008), no. 9, 1077--1097.
  30. Grid diagrams for lens spaces and combinatorial knot Floer homology.
    with Elisenda Grigsby and Matt Hedden, Int. Math. Res. Not. IMRN 2008, no. 10, Art. ID rnm024, 39 pp.
  31. Small genus knots in lens spaces have small bridge number.
    Algebr. Geom. Topol. 6 (2006), 1519--1621