@article {CPA:CPA21480,
author = {Cantarella, Jason and Deguchi, Tetsuo and Shonkwiler, Clayton},
title = {Probability Theory of Random Polygons from the Quaternionic Viewpoint},
journal = {Communications on Pure and Applied Mathematics},
volume = {67},
number = {10},
issn = {1097-0312},
url = {http://dx.doi.org/10.1002/cpa.21480},
doi = {10.1002/cpa.21480},
pages = {1658--1699},
year = {2014},
}
@article{PhysRevD.89.054513,
title = {Tight knot spectrum in QCD},
author = {Buniy, Roman V. and Cantarella, Jason and Kephart, Thomas W. and Rawdon, Eric J.},
journal = {Phys. Rev. D},
volume = {89},
issue = {5},
pages = {054513},
numpages = {20},
year = {2014},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevD.89.054513},
url = {http://link.aps.org/doi/10.1103/PhysRevD.89.054513}
}
@article{doi:10.1142/S0218216514500084,
author = {Jason Cantarella and Joseph H. G. Fu and Matt Mastin and Jennifer Ellis Royal},
title = {Symmetric criticality for tight knots},
journal = {Journal of Knot Theory and Its Ramifications},
volume = {23},
number = {02},
pages = {1450008},
year = {2014},
doi = {10.1142/S0218216514500084},
URL = {http://www.worldscientific.com/doi/abs/10.1142/S0218216514500084},
eprint = {http://www.worldscientific.com/doi/pdf/10.1142/S0218216514500084}
}
@article{1751-8121-45-22-225202,
author={Jason Cantarella and Al LaPointe and Eric J Rawdon},
title={Shapes of tight composite knots},
journal={Journal of Physics A: Mathematical and Theoretical},
volume={45},
number={22},
pages={225202},
url={http://stacks.iop.org/1751-8121/45/i=22/a=225202},
year={2012}
}
@Article{sym4010129,
AUTHOR = {Cantarella, Jason and Cornish, James and Mastin, Matt and Parsley, Jason},
TITLE = {The 27 Possible Intrinsic Symmetry Groups of Two-Component Links},
JOURNAL = {Symmetry},
VOLUME = {4},
YEAR = {2012},
NUMBER = {1},
PAGES = {129--142},
URL = {http://www.mdpi.com/2073-8994/4/1/129/},
ISSN = {2073-8994},
DOI = {10.3390/sym4010129}
}
@Article{sym4010143,
AUTHOR = {Berglund, Michael and Cantarella, Jason and Casey, Meredith Perrie and Dannenberg, Eleanor and George, Whitney and Johnson, Aja and Kelley, Amelia and LaPointe, Al and Mastin, Matt and Parsley, Jason and Rooney, Jacob and Whitaker, Rachel},
TITLE = {Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings},
JOURNAL = {Symmetry},
VOLUME = {4},
YEAR = {2012},
NUMBER = {1},
PAGES = {143--207},
URL = {http://www.mdpi.com/2073-8994/4/1/143/},
ISSN = {2073-8994},
DOI = {10.3390/sym4010143}
}
@article{Cantarella20101127,
title = "A new cohomological formula for helicity in reveals the effect of a diffeomorphism on helicity",
journal = "Journal of Geometry and Physics",
volume = "60",
number = "9",
pages = "1127 - 1155",
year = "2010",
note = "",
issn = "0393-0440",
doi = "DOI: 10.1016/j.geomphys.2010.04.001",
url = "http://www.sciencedirect.com/science/article/B6TJ8-4YXK0CM-1/2/76266338dff8911233ca5fa415453534",
author = "Jason Cantarella and Jason Parsley",
keywords = "Helicity of vector fields",
keywords = "Configuration spaces",
keywords = "Bott-Taubes integration"
}
@ARTICLE{gtropelengthcriticality,
author = {{Cantarella}, J. and {Fu}, J.~H.~G. and {Kusner}, R. and {Sullivan}, J.
},
title = "{Ropelength Criticality}",
journal = {Geometry and Topology},
year = 2014,
volume = 18,
issue = 4,
pages = "1973--2043"
}
@article{rrpaper,
author = {Ashton, Ted and Cantarella, Jason and Piatek, Michael and Rawdon, Eric J},
title = {{Knot Tightening by Constrained Gradient Descent}},
journal = {Experimental Mathematics},
year = {2011},
volume = {20},
number = {1},
pages = {57--90},
month = mar,
doi = {10.1080/10586458.2011.544581},
language = {English},
rating = {0},
date-added = {2011-12-01T03:55:09GMT+00:00},
date-modified = {2012-08-10T13:24:16GMT+00:00},
url = {http://www.tandfonline.com/doi/abs/10.1080/10586458.2011.544581},
local-url = {file://localhost/Users/cantarel/Documents/Papers2/Articles/2011/Ashton/Experimental%20Mathematics%202011%20Ashton.pdf},
file = {{Experimental Mathematics 2011 Ashton.pdf:/Users/cantarel/Documents/Papers2/Articles/2011/Ashton/Experimental Mathematics 2011 Ashton.pdf:application/pdf}},
uri = {\url{papers2://publication/doi/10.1080/10586458.2011.544581}}
}
@article {MR2139226,
AUTHOR = {Cantarella, Jason},
TITLE = {On comparing the writhe of a smooth curve to the writhe of an
inscribed polygon},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {42},
YEAR = {2005},
NUMBER = {5},
PAGES = {1846--1861 (electronic)},
ISSN = {0036-1429},
MRCLASS = {53A04 (58E10 65D10 68U05)},
MRNUMBER = {MR2139226 (2006e:53005)},
MRREVIEWER = {Igor Rivin},
}
@incollection {MR2197947,
AUTHOR = {Ashton, Ted and Cantarella, Jason},
TITLE = {A fast octree-based algorithm for computing ropelength},
BOOKTITLE = {Physical and numerical models in knot theory},
SERIES = {Ser. Knots Everything},
VOLUME = {36},
PAGES = {323--341},
PUBLISHER = {World Sci. Publ., Singapore},
YEAR = {2005},
MRCLASS = {58Exx (57M25 68W40 70K99)},
MRNUMBER = {MR2197947},
}
@inproceedings{cprvis,
AUTHOR = {Jason Cantarella and Michael Piatek and Eric Rawdon},
TITLE = {Visualizing the tightening of knots},
booktitle = {VIS '05: Proceedings of the conference on Visualization '05},
pages = {575--582},
year = {2005},
publisher = {IEEE Computer Society},
address = {Washington, DC, USA}
}
@inproceedings{cdob,
author = {Jason H. Cantarella and Erik D. Demaine and Hayley N. Iben and James F. O'Brien},
title = {An energy-driven approach to linkage unfolding},
booktitle = {SCG '04: Proceedings of the twentieth annual symposium on Computational geometry},
year = {2004},
isbn = {1-58113-885-7},
pages = {134--143},
location = {Brooklyn, New York, USA},
doi = {http://doi.acm.org/10.1145/997817.997840},
publisher = {ACM Press},
address = {New York, NY, USA},
}
@article {MR2284052,
AUTHOR = {Cantarella, Jason and Fu, Joseph H. G. and Kusner, Rob and
Sullivan, John M. and Wrinkle, Nancy C.},
TITLE = {Criticality for the {G}ehring link problem},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {10},
YEAR = {2006},
PAGES = {2055--2116 (electronic)},
ISSN = {1465-3060},
MRCLASS = {58E10 (49Q10 53A04 57M25)},
MRNUMBER = {MR2284052 (2008e:58016)},
MRREVIEWER = {Dave Auckly},
}
@unpublished{tsnnls,
AUTHOR = {Cantarella, Jason and Piatek, Michael},
TITLE = {{TSNNLS}: A solver for large sparse least-squares problems with non-negative variables},
NOTE = {arXiv:cs.MS/0408029}
}
@article {MR2018663,
AUTHOR = {Cantarella, Jason and Kuperberg, Greg and Kusner, Robert B.
and Sullivan, John M.},
TITLE = {The second hull of a knotted curve},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {125},
YEAR = {2003},
NUMBER = {6},
PAGES = {1335--1348},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {57M25},
MRNUMBER = {2 018 663},
}
@article {MR2001b:76094,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman and
Teytel, Mikhail},
TITLE = {The spectrum of the curl operator on spherically symmetric
domains},
JOURNAL = {Phys. Plasmas},
FJOURNAL = {Physics of Plasmas},
VOLUME = {7},
YEAR = {2000},
NUMBER = {7},
PAGES = {2766--2775},
ISSN = {1070-664X},
CODEN = {PHPAEN},
MRCLASS = {76W05 (35Q35 76M30)},
MRNUMBER = {2001b:76094},
}
@article {MR99m:57002,
AUTHOR = {Cantarella, Jason and Johnston, Heather},
TITLE = {Nontrivial embeddings of polygonal intervals and unknots in
{$3$}-space},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {7},
YEAR = {1998},
NUMBER = {8},
PAGES = {1027--1039},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {99m:57002},
MRREVIEWER = {Peiyi Zhao},
}
@article{cksnature,
AUTHOR = {Jason Cantarella and Robert B. Kusner and John M. Sullivan},
JOURNAL = {Nature},
VOLUME = {392},
YEAR = {1998},
PAGES = {237},
TITLE = {Tight Knot Values Deviate From Linear Relation}
}
@incollection {MR2003j:58018,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman},
TITLE = {Upper bounds for the writhing of knots and the helicity of
vector fields},
BOOKTITLE = {Knots, braids, and mapping class groups---papers dedicated to
Joan S. Birman (New York, 1998)},
SERIES = {AMS/IP Stud. Adv. Math.},
VOLUME = {24},
PAGES = {1--21},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2001},
MRCLASS = {58E10 (57M25 76W05)},
MRNUMBER = {2003j:58018},
}
@article {MR2002f:53002,
AUTHOR = {Cantarella, Jason},
TITLE = {A general mutual helicity formula},
JOURNAL = {R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.},
FJOURNAL = {The Royal Society of London. Proceedings. Series A.
Mathematical, Physical and Engineering Sciences},
VOLUME = {456},
YEAR = {2000},
NUMBER = {2003},
PAGES = {2771--2779},
ISSN = {1364-5021},
MRCLASS = {53A04 (76B99 76W05)},
MRNUMBER = {2002f:53002},
MRREVIEWER = {H. R. Gluck},
}
@article {MR2001f:78010,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman and
Teytel, Mikhail},
TITLE = {Isoperimetric problems for the helicity of vector fields and
the {B}iot-{S}avart and curl operators},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {41},
YEAR = {2000},
NUMBER = {8},
PAGES = {5615--5641},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {78A25},
MRNUMBER = {2001f:78010},
MRREVIEWER = {A. P. Stone},
}
@article {MR2002e:78002,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman},
TITLE = {The {B}iot-{S}avart operator for application to knot theory,
fluid dynamics, and plasma physics},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {42},
YEAR = {2001},
NUMBER = {2},
PAGES = {876--905},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {78A25 (57M25 76W05)},
MRNUMBER = {2002e:78002},
MRREVIEWER = {Zensho Yoshida},
}
@article {MR2003c:53023,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman},
TITLE = {Vector calculus and the topology of domains in 3-space},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {109},
YEAR = {2002},
NUMBER = {5},
PAGES = {409--442},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {53A45 (58A14)},
MRNUMBER = {2003c:53023},
MRREVIEWER = {Giles Auchmuty},
}
@article {MR2003h:58014,
AUTHOR = {Cantarella, Jason and Kusner, Robert B. and Sullivan, John M.},
TITLE = {On the minimum ropelength of knots and links},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {150},
YEAR = {2002},
NUMBER = {2},
PAGES = {257--286},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {58E10 (57M25)},
MRNUMBER = {2003h:58014},
MRREVIEWER = {Yuanan Diao},
}
@article {MR2004f:58014,
AUTHOR = {Abrams, Aaron and Cantarella, Jason and Fu, Joseph H. G. and
Ghomi, Mohammad and Howard, Ralph},
TITLE = {Circles minimize most knot energies},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {42},
YEAR = {2003},
NUMBER = {2},
PAGES = {381--394},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {58E10 (57M25)},
MRNUMBER = {2004f:58014},
}