k.baker@math.miami.edu

http://www.math.miami.edu/~kenken/

Department of Mathematics

University of Miami

- Seifert vs slice genera of knots in twist families and a characterization of braid axes, with Kimihiko Motegi, Preprint 2017
- The Poincare homology sphere, lens space surgeries, and some knots with tunnel number two,

with appendix by Neil Hoffman, Preprint 2015. - Closed essential surfaces in the complements of large volume Berge knots, Preprint 2005.

- Boundary-reducing surgeries and bridge number, with R. Sean Bowman and John Luecke, To appear in Comm. Anal. Geom.
- Non-characterizing slopes for hyperbolic knots, with Kimihiko Motegi, To appear in Algebr. Geom. Topol.
- Dehn filling and the Thurston norm, with Scott Taylor, To appear in J. Diff. Geom.
- Twist families of L-space knots, their genera, and Seifert surgeries, with Kimihiko Motegi, To appear in Comm. Anal. Geom.
- Tight fibered knots and band sums, with Kimihiko Motegi, Mathematische Zeitschrift, 286(3), 1357--1365
- Montesinos knots, Hopf plumbings, and L-space surgeries, with Allison H. Moore, To appear in Math. Soc. Japan.
- 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.
- A note on the concordance of fibered knots, Journal of Topology 2015
- Bridge number and integral Dehn surgery.

with Cameron Gordon and John Luecke, Algebr. Geom. Topol. 16 (2016), no. 1, 1--40 - Some knots in S
^{1}x S^{2}with lens space surgeries.

with Dorothy Buck and Ana Lecuona, Comm. Anal. Geom. 24 (2016), no. 3, 431--470. - On the topology of initial data sets with higher genus ends. with Gregory Galloway, Comm. Math. Phys. 336 (2015), no. 1, 431--440.
- Nonlooseness of nonloose knots.

with Sinem Onaran, Algebr. Geom. Topol. 15 (2015), no. 2, 1031–1066. - Counting genus one fibered knots in lens spaces, Mich. Math. J. 63 (2014) no. 3, 553--569.
- 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. - A cabling conjecture for knots in lens spaces, Bol. Soc. Mat. Mex. (3) 20(2014) no. 2, 449--465.
- 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. - Obtaining genus 2 Heegaard splittings from Dehn surgery.

with Cameron Gordon and John Luecke, Algebr. Geom. Topol. 13 (2013), no. 5, 2471–2634. - 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. - Character varieties of once-punctured torus bundles with tunnel number one.

with Kathleen Petersen, Int. J. Math. 24 (2013) no. 6, - The Classification of Rational Subtangle Replacements between Rational Tangles.

with Dorothy Buck, Algebr. Geom. Topol. 13 (2013) 1413--1463 - The Poincare homology sphere and almost simple knots in lens spaces.

Proc. Amer. Math. Soc. 142 (2014), no. 3, 1071–1074. - Cabling, contact structures and mapping class monoids.

with John Etnyre and Jeremy Van Horn-Morris, Differential Geom. 90 (2012), no. 1, 1--80. - 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). - Taxonomy of DNA Conformations within Complex Nucleoprotein Assemblies

with Dorothy Buck, Progress Theoretical Physics Supplement (2011), no. 191, 55--65. - Once-punctured tori and knots in lens spaces.

Comm. Anal. Geom. 19 (2011), no. 2, 347--399. - Grid diagrams and Legendrian lens space links.

with Elisenda Grigsby, J. Symplectic Geom. 7 (2009), no. 4, 415--448. - Tunnel number one, genus one fibered knots.

with Jesse Johnson and Elizabeth Klodginski, Comm. Anal. Geom. 17 (2009), no. 1, 116. - 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. - Surgery descriptions and volumes of Berge knots. I. Large volume Berge knots.

J. Knot Theory Ramifications 17 (2008), no. 9, 1077--1097. - 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. - Small genus knots in lens spaces have small bridge number.

Algebr. Geom. Topol. 6 (2006), 1519--1621