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Keywords

knots, links, concordance, 3-manifolds, 4-manifolds, cobordism

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Employment (2)

University of Wisconsin–Eau Claire: Eau Claire, US

2013-09-01 to present | Professor (Mathmatics)
Employment
Source: Self-asserted source
Christopher Davis

The Ohio State University: Columbus, US

2012-09 to 2013-05 | Zassenhaus assistant Professor (Mathematics)
Employment
Source: Self-asserted source
Christopher Davis

Education and qualifications (1)

William Marsh Rice University: Houston, US

2007-09 to 2012-05 | Graduate student (Ph.D.) (Mathematics)
Education
Source: Self-asserted source
Christopher Davis

Works (19)

The relative Whitney trick and its applications

Selecta Mathematica
2022-04 | Journal article
DOI: 10.1007/s00029-021-00738-y
Part of ISSN: 1022-1824
Part of ISSN: 1420-9020
Contributors: Christopher W. Davis; Patrick Orson; JungHwan Park
Source: Self-asserted source
Christopher Davis

Moves relating C-complexes: A correction to Cimasoni's “A geometric construction of the Conway potential function”

Topology and its Applications
2021-10 | Journal article | Author
DOI: 10.1016/j.topol.2021.107799
Part of ISSN: 0166-8641
Contributors: Christopher Davis; Taylor Martin; Carolyn Otto
Source: Self-asserted source
Christopher Davis

Linear independence of cables in the knot concordance group

Transactions of the American Mathematical Society
2021-02-11 | Journal article
DOI: 10.1090/tran/8336
Part of ISSN: 0002-9947
Part of ISSN: 1088-6850
Contributors: Christopher Davis; JungHwan Park; Arunima Ray
Source: Self-asserted source
Christopher Davis

Concordance to links with an unknotted component

Mathematical Proceedings of the Cambridge Philosophical Society
2021-01 | Journal article
DOI: 10.1017/s0305004119000367
Part of ISSN: 0305-0041
Part of ISSN: 1469-8064
Contributors: CHRISTOPHER W. DAVIS; JUNGHWAN PARK
Source: Self-asserted source
Christopher Davis

Surface systems and triple linking numbers

Indiana University Mathematics Journal
2020 | Journal article
DOI: 10.1512/iumj.2020.69.8081
Part of ISSN: 0022-2518
Contributors: Christopher Davis; Matthias Nagel; Patrick Orson; Mark Powell
Source: Self-asserted source
Christopher Davis

Concordance, Crossing Changes, and Knots in Homology Spheres

Canadian Mathematical Bulletin
2020-12 | Journal article
DOI: 10.4153/s0008439519000791
Part of ISSN: 0008-4395
Part of ISSN: 1496-4287
Contributors: Christopher W. Davis
Source: Self-asserted source
Christopher Davis

On the indeterminacy of Milnor’s triple linking number

Journal of Knot Theory and Its Ramifications
2020-08 | Journal article | Author
DOI: 10.1142/s0218216520500649
Part of ISSN: 0218-2165
Part of ISSN: 1793-6527
Contributors: Jonah Amundsen; Eric Anderson; Christopher Davis
Source: Self-asserted source
Christopher Davis

The C-complex clasp number of links

Rocky Mountain Journal of Mathematics
2020-06-01 | Journal article
DOI: 10.1216/rmj.2020.50.839
Part of ISSN: 0035-7596
Contributors: Jonah Amundsen; Eric Anderson; Christopher William Davis; Daniel Guyer
Source: Self-asserted source
Christopher Davis

Topological concordance of knots in homology spheres and the solvable filtration

Journal of Topology
2020-03 | Journal article
DOI: 10.1112/topo.12126
Part of ISSN: 1753-8416
Part of ISSN: 1753-8424
Contributors: Christopher W. Davis
Source: Self-asserted source
Christopher Davis

Every genus one algebraically slice knot is 1-solvable

Transactions of the American Mathematical Society
2019-05-30 | Journal article
DOI: 10.1090/tran/7682
Part of ISSN: 0002-9947
Part of ISSN: 1088-6850
Contributors: Christopher Davis; Taylor Martin; Carolyn Otto; JungHwan Park
Source: Self-asserted source
Christopher Davis

Concordance of knots in S1×S2

Journal of the London Mathematical Society
2018-08 | Journal article
DOI: 10.1112/jlms.12125
Part of ISSN: 0024-6107
Contributors: Christopher W. Davis; Matthias Nagel; JungHwan Park; Arunima Ray
Source: Self-asserted source
Christopher Davis

A new family of links topologically, but not smoothly, concordant to the Hopf link

Journal of Knot Theory and Its Ramifications
2017-02 | Journal article
DOI: 10.1142/s0218216517400028
Part of ISSN: 0218-2165
Part of ISSN: 1793-6527
Contributors: Christopher W. Davis; Arunima Ray
Source: Self-asserted source
Christopher Davis
grade
Preferred source (of 2)‎

When do links admit homeomorphic C-complexes?

Journal of Knot Theory and Its Ramifications
2017-01 | Journal article
DOI: 10.1142/s0218216517500109
Part of ISSN: 0218-2165
Part of ISSN: 1793-6527
Contributors: Christopher W. Davis; Grant Roth
Source: Self-asserted source
Christopher Davis

Satellite operators as group actions on knot concordance

Algebraic & Geometric Topology
2016-04-26 | Journal article
DOI: 10.2140/agt.2016.16.945
Part of ISSN: 1472-2739
Part of ISSN: 1472-2747
Contributors: Christopher W Davis; Arunima Ray
Source: Self-asserted source
Christopher Davis

Counterexamples to Kauffman's conjectures on slice knots

Advances in Mathematics
2015-04 | Journal article
DOI: 10.1016/j.aim.2014.12.006
Part of ISSN: 0001-8708
Contributors: Tim D. Cochran; Christopher William Davis
Source: Self-asserted source
Christopher Davis

Linear Independence of Knots Arising from Iterated Infection Without the Use of Tristram–Levine Signature

International Mathematics Research Notices
2014 | Journal article
DOI: 10.1093/imrn/rns277
Part of ISSN: 1687-0247
Part of ISSN: 1073-7928
Contributors: Christopher William Davis
Source: Self-asserted source
Christopher Davis

Injectivity of satellite operators in knot concordance

Journal of Topology
2014-12 | Journal article
DOI: 10.1112/jtopol/jtu003
Part of ISSN: 1753-8416
Contributors: Tim D. Cochran; Christopher W. Davis; Arunima Ray
Source: Self-asserted source
Christopher Davis

Von Neumann rho invariants and torsion in the topological knot concordance group

Algebraic & Geometric Topology
2012-04-12 | Journal article
DOI: 10.2140/agt.2012.12.753
Part of ISSN: 1472-2739
Part of ISSN: 1472-2747
Contributors: Christopher William Davis
Source: Self-asserted source
Christopher Davis

Strong coprimality and strong irreducibility of Alexander polynomials

Topology and its Applications
2012-01 | Journal article
DOI: 10.1016/j.topol.2011.08.019
Part of ISSN: 0166-8641
Contributors: Evan M. Bullock; Christopher William Davis
Source: Self-asserted source
Christopher Davis
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