Nathan M Dunfield

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Research Output

  • 29 Article
  • 1 Conference contribution
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Article
2018

Orderability and dehn filling

Culler, M. & Dunfield, N. M., Mar 16 2018, In : Geometry and Topology. 22, 3, p. 1405-1457 53 p.

Research output: Contribution to journalArticle

2017

Norms on the cohomology of hyperbolic 3-manifolds

Brock, J. F. & Dunfield, N. M., Nov 1 2017, In : Inventiones Mathematicae. 210, 2, p. 531-558 28 p.

Research output: Contribution to journalArticle

2016

A knot without a nonorientable essential spanning surface

Dunfield, N. M., 2016, In : Illinois Journal of Mathematics. 60, 1, p. 179-184 6 p.

Research output: Contribution to journalArticle

On geometric aspects of diffuse groups

Kionke, S., Raimbault, J. & Dunfield, N., Jan 1 2016, In : Documenta Mathematica. 21, 2016, p. 873-915 43 p.

Research output: Contribution to journalArticle

2015

Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling

Dunfield, N. M., Hoffman, N. R. & Licata, J. E., Jan 1 2015, In : Mathematical Research Letters. 22, 6, p. 1679-1698 20 p.

Research output: Contribution to journalArticle

Injectivity radii of hyperbolic integer homology 3–spheres

Brock, J. F. & Dunfield, N. M., Feb 27 2015, In : Geometry and Topology. 19, 1, p. 497-523 27 p.

Research output: Contribution to journalArticle

2012

Incompressibility criteria for spun-normal surfaces

Dunfield, N. M. & Garoufalidis, S., Jul 26 2012, In : Transactions of the American Mathematical Society. 364, 11, p. 6109-6137 29 p.

Research output: Contribution to journalArticle

Twisted Alexander polynomials of hyperbolic knots

Dunfield, N. M., Friedl, S. & Jackson, N., Dec 1 2012, In : Experimental Mathematics. 21, 4, p. 329-352 24 p.

Research output: Contribution to journalArticle

2011

Quantum invariants of random 3-manifolds

Dunfield, N. M. & Wong, H., Sep 1 2011, In : Algebraic and Geometric Topology. 11, 4, p. 2191-2205 15 p.

Research output: Contribution to journalArticle

2010

Behavior of knot invariants under genus 2 mutation

Dunfield, N. M., Garoufalidis, S., Shumakovitch, A. & Thistlethwaite, M., Nov 16 2010, In : New York Journal of Mathematics. 16, p. 99-123 25 p.

Research output: Contribution to journalArticle

Closed surface bundles of least volume

Aaber, J. W. & Dunfield, N., Dec 30 2010, In : Algebraic and Geometric Topology. 10, 4, p. 2315-2342 28 p.

Research output: Contribution to journalArticle

Increasing the number of fibered faces of arithmetic hyperbolic 3-manifolds

Dunfield, N. M. & Ramakrishnan, D., Feb 1 2010, In : American Journal of Mathematics. 132, 1, p. 53-97 45 p.

Research output: Contribution to journalArticle

2007

Lower bounds on volumes of hyperbolic haken 3-manifolds

Agol, I., Storm, P. A., Thurston, W. P. & Dunfield, N., Oct 2007, In : Journal of the American Mathematical Society. 20, 4, p. 1053-1077 25 p.

Research output: Contribution to journalArticle

2006

An ascending HNN extension of a free group inside SL 2

Calegari, D. & Dunfield, N. M., Nov 1 2006, In : Proceedings of the American Mathematical Society. 134, 11, p. 3131-3136 6 p.

Research output: Contribution to journalArticle

A random tunnel number one 3-manifold does not fiber over the circle

Dunfield, N. M. & Thurston, D. P., 2006, In : Geometry and Topology. 10, p. 2431-2499 69 p.

Research output: Contribution to journalArticle

Automorphic forms and rational homology 3-spheres

Calegari, F. & Dunfield, N. M., Apr 12 2006, In : Geometry and Topology. 10, p. 295-329 35 p.

Research output: Contribution to journalArticle

Finite covers of random 3-manifolds

Dunfield, N. M. & Thurston, W. P., Dec 1 2006, In : Inventiones Mathematicae. 166, 3, p. 457-521 65 p.

Research output: Contribution to journalArticle

The superpolynomial for knot homologies

Dunfield, N. M., Gukov, S. & Rasmussen, J., Jan 1 2006, In : Experimental Mathematics. 15, 2, p. 129-159 31 p.

Research output: Contribution to journalArticle

2004

Non-triviality of the $A$-polynomial for knots in $S^3$

Dunfield, N. M. & Garoufalidis, S., 2004, In : Algebraic and Geometric Topology. 4, p. 1145-1153 9 p.

Research output: Contribution to journalArticle

2003

Laminations and groups of homeomorphisms of the circle

Calegari, D. & Dunfield, N. M., Jul 4 2003, In : Inventiones Mathematicae. 152, 1, p. 149-204 56 p.

Research output: Contribution to journalArticle

The virtual Haken conjecture: Experiments and examples

Dunfield, N. M. & Thurston, W. P., 2003, In : Geometry and Topology. 7, p. 399-441 43 p.

Research output: Contribution to journalArticle

2002

Commensurability of 1-cusped hyperbolic 3-manifolds

Calegari, D. & Dunfield, N. M., 2002, In : Transactions of the American Mathematical Society. 354, 7, p. 2955-2969 15 p.

Research output: Contribution to journalArticle

2001

Alexander and Thurston norms of fibered 3-manifolds

Dunfield, N. M., Sep 2001, In : Pacific Journal of Mathematics. 200, 1, p. 43-58 16 p.

Research output: Contribution to journalArticle

A table of boundary slopes of Montesinos knots

Dunfield, N. M., Mar 1 2001, In : Topology. 40, 2, p. 309-315 7 p.

Research output: Contribution to journalArticle

1999

Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds

Dunfield, N. M., Jan 1 1999, In : Inventiones Mathematicae. 136, 3, p. 623-657 35 p.

Research output: Contribution to journalArticle

Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds

Dunfield, N. M., Mar 1999, In : Topology. 38, 2, p. 457-465 9 p.

Research output: Contribution to journalArticle

1994

Colorings of the plane. II

Brown, N., Dunfield, N. & Perry, G., 1994, In : Geombinatorics. 3, 3, p. 64-74 11 p.

Research output: Contribution to journalArticle

Colorings of the plane. III

Brown, N., Dunfield, N. & Perry, G., 1994, In : Geombinatorics. 3, 4, p. 110-114 5 p.

Research output: Contribution to journalArticle

1993

Colorings of the plane. I

Brown, N., Dunfield, N. & Perry, G., 1993, In : Geombinatorics. 3, 2, p. 24-31 8 p.

Research output: Contribution to journalArticle