Nathan Dunfield

Q: What Schools Are Affiliated With Nathan Dunfield

Nathan Dunfield is affiliated with the following schools: University of California, Berkeley, California Institute of Technology, University of California, San Diego, University of Chicago, University of Illinois Urbana-Champaign

Nathan Dunfield's AcademicInfluence.com Rankings

Nathan Dunfield

Mathematics

#5791

World Rank

#8120

Historical Rank

#1842

USA Rank

Measure Theory

#5085

World Rank

#6014

Historical Rank

#1430

USA Rank

mathematics Degrees

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Mathematics

Nathan Dunfield's Degrees

PhD Mathematics University of California, Berkeley

Why Is Nathan Dunfield Influential?

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According to Wikipedia, Nathan Michael Dunfield is an American mathematician, specializing in Topology. Career Dunfield did his undergraduate studies at Oregon State University, obtaining a B.S. in mathematics in 1994. For his graduate studies, he went to the University of Chicago, obtaining his Ph.D. in 1999, with a thesis on Cyclic Surgery, Degrees of Maps of Character Curves, and Volume Rigidity for Hyperbolic Manifolds written under the supervision of Peter Shalen and Melvin Rothenberg.

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Nathan Dunfield's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Superpolynomial for Knot Homologies (2005) (297)
Laminations and groups of homeomorphisms of the circle (2002) (136)
Finite covers of random 3-manifolds (2005) (135)
Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds (1998) (119)
Lower bounds on volumes of hyperbolic Haken 3-manifolds (1999) (119)
Problems on invariants of knots and 3-manifolds (2004) (118)
The virtual Haken conjecture: Experiments and examples (2002) (84)
Twisted Alexander Polynomials of Hyperbolic Knots (2011) (54)
Closed surface bundles of least volume (2010) (50)
Non-triviality of the A-polynomial for knots in S^3 (2004) (47)
A random tunnel number one 3–manifold does not fiber over the circle (2005) (46)
Automorphic forms and rational homology 3--spheres (2005) (45)
Alexander and Thurston norms of fibered 3-manifolds (1999) (36)
Injectivity radii of hyperbolic integer homology 3-spheres (2013) (32)
Incompressibility criteria for spun-normal surfaces (2011) (31)
Behavior of knot invariants under genus 2 mutation (2006) (30)
A table of boundary slopes of Montesinos knots (1999) (30)
The least spanning area of a knot and the optimal bounding chain problem (2010) (29)
Orderability and Dehn filling (2016) (28)
On geometric aspects of diffuse groups (2014) (22)
EXAMPLES OF NON-TRIVIAL ROOTS OF UNITY AT IDEAL POINTS OF HYPERBOLIC 3-MANIFOLDS (1998) (21)
Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling (2014) (18)
A census of exceptional Dehn fillings (2018) (14)
Norms on the cohomology of hyperbolic 3-manifolds (2015) (11)
Quantum invariants of random 3–manifolds (2010) (11)
Certifying the Thurston Norm via SL(2,ℂ)-twisted Homology (2015) (10)
Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds (2019) (10)
Increasing the number of fibered faces of arithmetic hyperbolic 3-manifolds (2007) (8)
An ascending HNN extension of a free group inside SL_2 ℂ (2004) (7)
Commensurability of 1-cusped hyperbolic 3-manifolds (2001) (6)
Colorings of the plane. III (1994) (5)
A knot without a nonorientable essential spanning surface (2015) (4)
Non-triviality of the A-polynomial for knots in the 3-sphere (2004) (4)
Counting essential surfaces in 3-manifolds (2020) (3)
Systematic Enumeration and Identification of Unique Spatial Topologies of 3D Systems Using Spatial Graph Representations (2021) (2)
Computing a Link Diagram from Its Exterior (2021) (1)
THE LARGE SIEVE, PROPERTY (T ) AND THE HOMOLOGY OF DUNFIELD-THURSTON RANDOM 3-MANIFOLDS (2008) (1)
A unified Casson-Lin invariant for the real forms of SL(2) (2022) (1)
Research Summary (2006) (0)
Erratum: Behavior of knot invariants under genus 2 mutation [MR2657370] (2012) (0)
AVERAGE GENUS OF ORIENTED RATIONAL LINKS by Dawn Ray A dissertation submitted to the faculty of The University of North Carolina at Charlotte in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Applied Mathematics Charlotte (2022) (0)
Norms on the cohomology of hyperbolic 3-manifolds (2017) (0)
MAPPING CLASS GROUPS AND CATEGORIFICATION FINAL REPORT (2013) (0)
Nathan Dunfield (0)
On the rank of knot homology theories and concordance (2023) (0)
Integer homology 3-spheres with large injectivity radius. (2012) (0)
DYNAMICS OF FREE GROUP AUTOMORPHISMS AND A SUBGROUP ALTERNATIVE FOR OUT(FN) BY CAGLAR UYANIK (2017) (0)
A pr 1 99 8 Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds (2008) (0)
Rigidity of Length Functions over Strata of Flat Metrics (2014) (0)

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What Schools Are Affiliated With Nathan Dunfield?

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