Jason Cantarella

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Rob KusnerProfessor of Mathematics, University of Massachusetts, Amherst & Co-Director of G.A.N.G.Verified email at math.umass.edu
John M. SullivanTechnische Universität BerlinVerified email at math.tu-berlin.de
Clayton ShonkwilerAssociate Professor of Mathematics, Colorado State UniversityVerified email at colostate.edu
Eric RawdonUniversity of St. ThomasVerified email at stthomas.edu
Joseph H.G. FuProfessor of Mathematics, University of GeorgiaVerified email at math.uga.edu
Michael PiatekGoogleVerified email at google.com
Erik DemaineProfessor of Electrical Engineering and Computer Science, Massachusetts Institute of TechnologyVerified email at mit.edu
Matt MastinPostdoctoral Fellow in Mathematics, Wake Forest UniversityVerified email at wfu.edu
Jason ParsleyAssociate Professor of Mathematics, Wake Forest UniversityVerified email at wfu.edu
Mohammad GhomiProfessor of Mathematics, Georgia TechVerified email at math.gatech.edu
Aaron AbramsWashington and Lee UniversityVerified email at wlu.edu
Ralph HowardProfessor of Mathematics, University of South CarolinaVerified email at math.sc.edu
Jason S. KuLecturer, Massachusetts Institute of TechnologyVerified email at mit.edu
Thomas C. HullAssociate Professor of Mathematics, Franklin & Marshall CollegeVerified email at fandm.edu
Robert J. LangLangorigami.comVerified email at langorigami.com
David EppsteinDistinguished Professor of Computer Science, University of California, IrvineVerified email at uci.edu
Tomohiro TachiProfessor, University of TokyoVerified email at idea.c.u-tokyo.ac.jp
Henrik SchumacherUniversity of GeorgiaVerified email at uga.edu
Greg KuperbergProfessor of Mathematics and Computer Science, University of California, DavisVerified email at math.ucdavis.edu
Nancy WrinkleProfessor of MathematicsVerified email at neiu.edu

Jason Cantarella

Professor of Mathematics, University of Georgia

Verified email at uga.edu - Homepage

Differential geometry Computational Geometry Topology


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On the minimum ropelength of knots and links J Cantarella, RB Kusner, JM Sullivan Inventiones mathematicae 150 (2), 257-286, 2002	248	2002
Vector calculus and the topology of domains in 3-space J Cantarella, D DeTurck, H Gluck The American mathematical monthly 109 (5), 409-442, 2002	164	2002
Tight knot values deviate from linear relations J Cantarella, RB Kusner, JM Sullivan Nature 392 (6673), 237-237, 1998	114	1998
Circles minimize most knot energies A Abrams, J Cantarella, JHG Fu, M Ghomi, R Howard Topology 42 (2), 381-394, 2003	106	2003
Nontrivial embeddings of polygonal intervals and unknots in 3-space J Cantarella, H Johnston Journal of Knot Theory and Its Ramifications 7 (08), 1027-1039, 1998	102	1998
Rigid origami vertices: Conditions and forcing sets Z Abel, J Cantarella, ED Demaine, D Eppstein, TC Hull, JS Ku, RJ Lang, ... Journal of Computational Geometry 7 (1), 2016	94	2016
Knot tightening by constrained gradient descent T Ashton, J Cantarella, M Piatek, EJ Rawdon Experimental Mathematics 20 (1), 57-90, 2011	81	2011
The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics J Cantarella, D DeTurck, H Gluck Journal of Mathematical Physics 42 (2), 876-905, 2001	81	2001
The spectrum of the curl operator on spherically symmetric domains J Cantarella, D DeTurck, H Gluck, M Teytel Physics of plasmas 7 (7), 2766-2775, 2000	72	2000
Criticality for the Gehring link problem J Cantarella, JHG Fu, R Kusner, JM Sullivan, NC Wrinkle Geometry and Topology 10, 2055-2115, 2006	66	2006
An energy-driven approach to linkage unfolding JH Cantarella, ED Demaine, HN Iben, JF O'Brien Proceedings of the twentieth annual symposium on Computational geometry, 134-143, 2004	53	2004
Upper bounds for the writhing of knots and the helicity of vector fields J Cantarella, D DeTurck, H Gluck AMS IP STUDIES IN ADVANCED MATHEMATICS 24, 1-22, 2001	47*	2001
Tsnnls: A solver for large sparse least squares problems with non-negative variables J Cantarella, M Piatek arXiv preprint cs/0408029, 2004	46	2004
Isoperimetric problems for the helicity of vector fields and the Biot–Savart and curl operators J Cantarella, D DeTurck, H Gluck, M Teytel Journal of Mathematical Physics 41 (8), 5615-5641, 2000	42	2000
The symplectic geometry of closed equilateral random walks in 3-space J Cantarella, C Shonkwiler	39	2016
Probability theory of random polygons from the quaternionic viewpoint J Cantarella, T Deguchi, C Shonkwiler Communications on Pure and Applied Mathematics 67 (10), 1658-1699, 2014	34	2014
Ropelength criticality J Cantarella, JHG Fu, RB Kusner, JM Sullivan Geometry & Topology 18 (4), 2595-2665, 2014	33	2014
The second hull of a knotted curve J Cantarella, G Kuperberg, RB Kusner, JM Sullivan American journal of mathematics, 1335-1348, 2003	28	2003
A fast direct sampling algorithm for equilateral closed polygons J Cantarella, B Duplantier, C Shonkwiler, E Uehara Journal of Physics A: Mathematical and Theoretical 49 (27), 275202, 2016	25	2016
Visualizing the tightening of knots J Cantarella, M Piatek, E Rawdon VIS 05. IEEE Visualization, 2005., 575-582, 2005	25	2005

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