Papers

papers


Publications:
[1] A. Shimizu, The warping degree of a knot diagram, J. Knot Theory Ramifications 19 (2010), 849--857. (arXiv:0809.1334)

[2] A. Shimizu, The warping degree of a link diagram, Osaka J. Math. 48 (2011), 209--231. (arXiv:0905.0008)

[3] A. Shimizu, The complete splitting number of a lassoed link, Topology Appl. 159 (2012), 959--965. (arXiv:1006.5563)

[4] N. Ito and A. Shimizu, The half-twisted splice operation on reduced knot projections, J. Knot Theory Ramifications 21, 1250112 (2012) [10 pages]. (arXiv:1208.0989)

[5] A. Shimizu, The warping polynomial of a knot diagram, J. Knot Theory Ramifications 21, 1250124 (2012) [15 pages]. (arXiv:1109.5898)

[6] A. Shimizu, Region crossing change is an unknotting operation, J. Math. Soc. Japan, 66 (2014), 693--708. (arXiv:1011.6304)

[7] K. Hayano, A. Shimizu and R. Shinjo, Region crossing change on spatial-graph diagrams, J. Knot Theory Ramifications 24, 1550045 (2015) [12 pages].

[8] A. Kawauchi and A. Shimizu, Quantization of the crossing number of a knot diagram, Kyungpook Math. J. 55 (2015), 741--752. (arXiv:1112.1809)

[9] A. Shimizu, The reductivity of spherical curves, Topology Appl. 196 (2015), 860--867. (arXiv:1401.3811)

[10] A. Shimizu, The warping matrix of a knot diagram, Contemporary Mathematics 670 (2016), 337--344. (arXiv:1508.03425)

[11] T. Akiyama, A. Shimizu and R. Watanabe, The rank of a warping matrix, Topology Appl. 206 (2016), 228--240. (arXiv:1508.06065)

[12] K. Horiguchi, A. Shimizu, R. Watanabe and Y. Yaguchi, Axis systems of link projections, J. Knot Theory Ramifications 26, 1750043 (2017) [12 pages]. (arXiv:1612.03397)

[13] A. Kawauchi and A. Shimizu, On the orientations of monotone knot diagrams, J. Knot Theory Ramifications 26, 1750053 (2017) [15 pages]. (Preprint version is here.)

[14] K. Oshiro, A. Shimizu and Y. Yaguchi, Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II, J. Knot Theory Ramifications 26, 1750073 (2017) [17 pages]. (arXiv:1703.03573)

[15] Y. Onoda and A. Shimizu, The reductivity of spherical curves Part II: 4-gons, Tokyo J. Math. 41 (2018), 51--63. (arXiv:1603.07811)

[16] S. Jablan and A. Shimizu, On the warping sum of knots, J. Knot Theory Ramifications 27, 1843002 (2018) [8 pages]. (arXiv:1712.07332)

[17] Y. Gokan, H. Katsumata, K. Nakajima, A. Shimizu and Y. Yaguchi, A note on the cross-index of a complete graph based on a linear tree, J. Knot Theory Ramifications 27, 1843010 (2018) [24 pages]. (arXiv:1801.05197)

[18] S. Nelson, K. Oshiro, A. Shimizu and Y. Yaguchi, Biquandle virtual brackets, J. Knot Theory Ramifications 28, 1940003 (2019). (arXiv:1701.03982)

[19] A. Kawauchi, A. Shimizu and Y. Yaguchi, Cross-index of a graph, Kyungpook Math. J. 59 (2019), 797--820. (Preprint version is here.)

[20] K. Kashiwabara and A. Shimizu, A note on unavoidable sets for a spherical curve of reductivity four, Kyungpook Math. J. 59 (2019), 821--834. (arXiv:1705.02450)

[21] A. Shimizu and R. Takahashi, Region crossing change on spatial theta-curves, J. Knot Theory Ramifications 29 (2020), 2050028. (arXiv:1910.12183)

[22] A. Shimizu, Prime alternating knots of minimal warping degree two, J. Knot Theory Ramifications 29 (2020), 2050060. (arXiv:2004.14520)

Preprints:
[23] Y. Funakoshi, K. Noguchi and A. Shimizu, Unknottability of spatial graphs by region crossing changes, preprint. (arXiv:2009.12119)

[24] A. Ohya and A. Shimizu, Lower bounds for the warping degree of a knot projection, preprint. (arXiv:2101.09072)

Book:
[1] 河内明夫, 岸本健吾, 清水理佳, 結び目理論とゲームー領域選択ゲームでみる数学の世界ー, 朝倉書店 (2013). [訂正表]

Others:
[1] 清水理佳, 結び目図式のひずみ度について, 第５回城崎新人セミナー報告集 (2008), 260--264.

[2] 清水理佳, 結び目図式のひずみ度について, 研究集会「結び目の数学」報告集(2009), 91--97.

[3] 清水理佳, 絡み目図式のひずみ度について, 第６回城崎新人セミナー報告集 (2010), 165--171.

[4] 清水理佳, 輪投げ絡み目の完全分離数について, 第７回城崎新人セミナー報告集 (2011), 391--399.

[5] 大城佳奈子, 清水理佳, 張娟姫, 鈴木咲衣, Alexander 多項式について, 第４回琵琶湖若手数学者勉強会報告集 (2011), 415--439.

[6] 清水理佳, 結び目図式のひずみ多項式の幅, 研究集会「結び目の数学III」報告集(2011), 74--84.

[7] A. Shimizu, On region unknotting numbers, Proceedings of Intelligence of Low-dimensional Topology (2011), 15--22.

[8] 清水理佳, 結び目理論をゲームに応用する, 数学通信 第17巻 第1号 (2012), 6--10.

[9] A, Shimizu, A game based on knot theory, Asia Pacific Mathematics Newsletter, 2 (2012), 22--23.

[10] 清水理佳, 結び目射影図の領域の不可避集合について, 研究集会「結び目の数学V」報告集(2013), 1--8.

[11] 清水理佳, 結び目理論から生まれたゲームとその仲間達, 城崎新人セミナー報告集(2013).

[12] 清水理佳, 結び目のゲームを作って遊ぼう, 数学通信 第21巻 第3号 (2016), 5--8.

[13] A. Shimizu and Y. Yaguchi, What math teachers at Kosen can do as experts in their fields, Transactions of ISATE 2016, The 10th International Symposium on Advances in Technology Education (2016), 406--409.

Master's thesis:
結び目図式のひずみ度について, 大阪市立大学 (Osaka City University, 2009).

Doctoral thesis:
The warping degree of a link diagram, Osaka City University (2011).