Google Scholar (Koya Shimokawa)
Publications
- 45. A mathematical approach to mechanical properties of networks in thermoplastic elastomers
Ken’ichi Yoshida, Naoki Sakata, and Koya Shimokawa,
submitted (2023).
(arXiv:2310.14962) - 44. Non-integral boundary slopes of alternating knots
Masaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,
submitted (2023).
(arXiv:2309.02370) - 43. Entanglement statistics of polymers in a lattice tube and unknotting of 4-plats
Nicholas R. Beaton, Kai Ishihara, Mahshid Atapour, Jeremy W. Eng, Mariel Vazquez, Koya Shimokawa, and Christine E.Soteros,
submitted (2023).
(arXiv:2204.06186) - 42. Molecular dynamics of topological barriers on the crystallization behavior of ring polyethylene melts with trefoil knots
Katsumi Hagita, Takahiro Murashima, Naoki Sakata, Koya Shimokawa, Tetsuo Deguchi, Erica Uehara, and Susumu Fujiwara.
Macromolecules 56 (2023) 15–27. (Selected as cover image) - 41. On the classification of polyhedral links
Naohiro Wakayama and Koya Shimokawa,
Symmetry 14, 1712 (2022) (Special Issue “Topological Methods in Chemistry and Molecular Biology”)
See Comment page - 40. Handlebody decompositions of three-manifolds and polycontinuous patterns
Naoki Sakata, Ryosuke Mishina, Masaki Ogawa,Kai Ishihara, Yuya Koda, Makoto Ozawa, and Koya Shimokawa,
Proc. R. Soc. A 478: 20220073 (2022). (Selected as cover image)
(arXiv:2201.11420) - 39. Graph theoretical and knot theoretical analyses of multi-cyclic polymers
Kai Ishihara and Koya Shimokawa,
“Topological Polymer Chemistry: Concepts and Practices” ed. by Yasuyuki Tezuka and Tetsuo Deguchi, Springer(2022). - 38. Alternating knots with large boundary slope diameter
Masaharu Ishikawa, Thomas W. Mattman, Kazuya Namiki, and Koya Shimokawa,
Contemporary Mathematics 760 (2020) 207-216.
(arXiv:1911.08562) - 37. A metal-peptide capsule by multiple ring threading
Tomohisa Sawada, Yuuki Inomata, Koya Shimokawa, and Makoto Fujita,
Nature Communications 10, Article number: 5687 (2019) - 36. Metal-peptide rings form highly entangled topologically inequivalent frameworks with the same ring- and crossing-numbers
Tomohisa Sawada, Ami Saito, Kenki Tamiya, Koya Shimokawa, Yutaro Hisada, and Makoto Fujita,
Nature Communications 10, Article number: 921 (2019) - 35. Neighborhood equivalence for multibranched surfaces in 3-manifolds
Kai Ishihara, Yuya Koda, Makoto Ozawa, and Koya Shimokawa,
Topology Appl 257 (2019) 11-21.
(arXiv:1806.08919) - 34. Characterising knotting properties of polymers in nanochannels
N. R. Beaton, J. W. Eng, K. Ishihara, K. Shimokawa, C. E. Soteros,
Soft Matter 14 (2018) 5775-5785.
(arXiv 1803.08212, DOI: 10.1039/c8sm00734a). - 33. Pathways of DNA unlinking: a story of stepwise simplification
Robert Stolz, Masaaki Yoshida, Reuben Brasher, Michelle Flanner, Kai Ishihara, David J. Sherratt, Koya Shimokawa, and Mariel Vazquez,
Scientific Reports 7, Article number: 12420 (2017). - 32. Bounds for the minimum step number of knots confined to tubes in the simple cubic lattice
Kai Ishihara, Maxime Pouokam, Atsumi Suzuki, Robert Scharein, Mariel Vazquez, Javier Arsuaga, and Koya Shimokawa,
J. Phys. A: Math. Theor. 50 (2017) 215601. (Selected as cover image) - 31. On the Enumeration of Polymer Topologies
Toshihiko Haruna, Takashi Horiyama, and Koya Shimokawa,
2017-AL-162, IPSJ SIG Technical Report, Information Processing Society of Japan (2017). - 30. Dehn surgery and Seifert surface system
Makoto Ozawa and Koya Shimokawa,
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XVII (2017) 267-276.
(arXiv:1406.6264) - 29. Band surgeries and crossing changes between fibered links
Dorothy Buck, Kai Ishihara, Matt Rathbun, and Koya Shimokawa,
J. London Math. Soc. 94 (2016) 557-582.
(arXiv 1304.6781) - 28. Tangle sums and factorization of A-polynomials
Masaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,
New York J. Math. 21 (2015) 823-835.
(arXiv:1107.2640) - 27. Site-specific recombination modeled as a band surgery: Applications to Xer recombination
Kai Ishihara, Koya Shimokawa, and Mariel Vazquez
“Discrete and Topological Models in Molecular Biology” (2014) pp 387-401,
Jonoska, Natasa; Saito, Masahico (Eds.), Natural Computing Series, Springer. - 26. FtsK-dependent XerCD-dif recombination unlinks replication catenanes in a stepwise manner
Koya Shimokawa, Kai Ishihara, Ian Grainge, David J. Sherratt, and Mariel Vazquez.
Proc. Natl. Acad. Sci. U S A 110 (52) 20906-20911 (2013)
See also Commentary by Makkuni Jayaram,
“Mathematical validation of a biological model for unlinking replication catenanes by recombination”, Proc. Natl. Acad. Sci. USA 110 (52) 20854-20855 (2013) - 25. Tangle sums, norm curves and cyclic surgeries
Masaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,
RIMS Kôkyûroku 1836 18-33 (2013) - 24. Rational tangle surgery and Xer recombination on catenanes
Isabel K. Darcy, Kai Ishihara, Ram Medikonduri and Koya Shimokawa,
Algebr. Geom. Topol. 12 1183-1210 (2012)
(arXiv:1108.0724) - 23. Bounds for the minimum step number of knots confined to slabs in the simple cubic lattice
K. Ishihara, R. Scharein, Y. Diao, J. Arsuaga, M. Vazquez and K. Shimokawa
J. Phys. A: Math. Theor. 45 065003 (2012)
Featured article of the issue - 22. Signed unknotting number and knot chirality discrimination via strand passage
Chris Soteros, Kai Ishihara, Koya Shimokawa, Michael Szafron, and Mariel Vazquez
Progress of Theoretical Physics Supplement 191 78-95 (2011) - 21. Band surgeries between knots and links with small crossing numbers
Kai Ishihara and Koya Shimokawa
Progress of Theoretical Physics Supplement 191 245-255 (2011) - 20. DNAと結び目理論
Koya Shimokawa and Mariel Vazquez
数学 63 237-242 (2011) - 19. Bounds for the minimum step number of knots in the simple cubic lattice
R. Scharein, K. Ishihara, J. Arsuaga, Y. Diao, K. Shimokawa, and M. Vazquez,
J. Phys. A: Math. Theor. 42 (2009) 475006 (24pp) - 18. Finite surgeries on three-tangle pretzel knots
David Futer, Masaharu Ishikawa, Yuichi Kabaya, Thomas W. Mattman, and Koya Shimokawa,
Algebr. Geom. Topol. 9 issue 2, 743-771 (2009)
(arXiv:0809.4278) - 17. Tangle analysis of DNA unlinking by the Xer/FtsK system
Koya Shimokawa, Kai Ishihara, and Mariel Vazquez,
Bussei Kenkyu 92 no.1 89-92 (2009)
Proceedings of the International Conference “Knots and soft-matter physics: topology of polymers and related topics in physics, mathematics and biology”, - 16. Exceptional surgery and boundary slopes
Masaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,
Osaka J. Math. 43 No.4, 807-821 (2006)
(math.GT/0211147) - 15. Essential laminations and branched surfaces in the exteriors of links
Mark Brittenham, Chuichiro Hayashi, Mikami Hirasawa, Tsuyoshi Kobayashi, and Koya Shimokawa,
Japan. J. Math. 31 No.1, 25-96 (2005) - 14. Tangle sum and constructible spheres
Masahiro Hachimori and Koya Shimokawa,
J. Knot Theory Ramifications 13, 373-383 (2004) - 13. On non-simple reflexive links
Hiroshi Matsuda, Makoto Ozawa, and Koya Shimokawa,
J. Knot Theory Ramifications 11 787-791 (2002) - 12. Heegaard splittings of the pair of the solid torus and the core loop
Chuichiro Hayashi and Koya Shimokawa,
Rev. Mat. Complut. 14 No.2, 479-501 (2001) - 11. Heegaard splittings of trivial arcs in compression bodies
Chuichiro Hayashi and Koya Shimokawa,
J. Knot Theory Ramifications 10, 71-87 (2001) - 10. Thin position of a pair (3-manifold, 1-submanifold)
Chuichiro Hayashi and Koya Shimokawa,
Pacific J. Math. 197, 301-324 (2001) - 9. A condition for a graph in the disc to contain the half hemisphere of the dodecahedron — Application to Dehn surgery theory —
Chuichiro Hayashi and Koya Shimokawa
Interdiscip. Inform. Sci. 7, 5-16 (2001)
Proceedings of the Workshop “Graph Theory and Related Topics” - 8. Dehn surgeries on strongly invertible knots which yield lens spaces
Mikami Hirasawa and Koya Shimokawa,
Proc. Amer. Math. Soc. 128 number 11, 3445-3451 (2000) - 7. Hyperbolicity and boundary-irreducibility of alternating tangles
Koya Shimokawa,
Topology Appl. 96 217-239 (1999) - 6. Heegaard splittings of the trivial knot
Chuichiro Hayashi and Koya Shimokawa,
J. Knot Theory Ramifications 7, 1073-1085 (1998) - 5. On tunnel number one alternating knots and links
Koya Shimokawa,
J. Math. Sci. Univ. Tokyo 5, 547-560 (1998) - 4. Parallelism of two strings in alternating tangles
Koya Shimokawa,
J. Knot Theory Ramifications 7, 489-502 (1998) - 3. Symmetric knots satisfy the cabling conjecture
Chuichiro Hayashi and Koya Shimokawa,
Math. Proc. Cambridge. Philos. Soc. 123, 501-529 (1998) - 2. Incompressibility of closed surfaces in toroidally alternating link complements
Koya Shimokawa,
Osaka J. Math. 35, 191-234 (1998) - 1. Tangles with alternating diagrams –Alternating tanlge decompositions of knots and laminar surgery–
Koya Shimokawa,
Proceedings of the 5-th Korea-Japan School of Knots and Links,
267–272 (1997), Center for Applied Mathematics, KAIST, Korea.