Tokyo Gakugei University, Natural Sciences DivisionMathematics 数学分野, Professor

Tokyo Gakugei University, Mathematics, Professor

博士（数理科学）

絵で学ぶ数学　結び目理論　ーこの紐、ほどけますか？ー
29 Oct. 2024, 978-4-274-23247-3

算数教育のための数学
01 May 2018, 宮地 淳一, 竹内 伸子, 田中 心, 長瀬 潤, 相原 琢磨, 培風館, 978-4563012175

大学で学ぶ微分積分　[増補版]
01 Mar. 2017, 沢田 賢，田中 心，安原 晃，渡辺 展也, サイエンス社, 978-4781913988

Any link has a diagram with only triangles and quadrilaterals
Mar. 2025, Reiko Shinjo, Kokoro Tanaka, joint

Quandle colorings vs. biquandle colorings
Mar. 2024, Katsumi Ishikawa, Kokoro Tanaka, joint, Research paper (scientific journal), 10.1016/j.topol.2024.108832

The bridge number of surface links and kei colorings
Oct. 2022, Kouki Sato, Kokoro Tanaka, joint, Bulletin of the London Mathematical Society, 54, 5, 10.1112/blms.12654

Shifting chain maps in quandle homology and cocycle invariants
09 Mar. 2022, Yu Hashimoto, Kokoro Tanaka, joint, Transactions of the American Mathematical Society, 375, 10, 10.1090/tran/8707

Homology for quandles with partial group operations
Mar. 2017, Scott Carter, Atsushi Ishii, Masahico Saito, Kokoro Tanaka, joint, Pacific Journal of Mathematics, Mathematical Sciences Publishers, 287, 1, 10.2140/pjm.2017.287.19

Independence of Roseman moves including triple points
2016, Kengo KAWAMURA, Kanako OSHIRO, Kokoro TANAKA, joint, Algebraic & Geometric Topology, Mathematical Sciences Publishers, 16, 4

Regular-equivalence of 2-knot diagrams and sphere eversions
May 2016, Masamichi TAKASE, Kokoro TANAKA, joint, Mathematical Proceedings of the Cambridge Philosophical Society, CAMBRIDGE UNIVERSITY PRESS, 161, 2, https://doi.org/10.1017/S0305004116000244

A note on the local relations in geometric formalism of Khovanov homology theory
Jan. 2016, Kokoro TANAKA, only, Journal of Knot Theory and Its Ramifications, World Scientific Publishing Co Pte Ltd, 25, 1, http://dx.doi.org/10.1142/S0218216516200017

Charts, signatures, and stabilizations of Lefschetz fibrations,
2015, Hisaaki Endo, Seiichi Kamada, Isao Hasegawa, Kokoro Tanaka, joint, Geometry & Topology Monographs, 19

The shadow nature of positive and twisted quandle cocycle invariants of knots
2015, Seiichi Kamada, Vicoria Lebed, Kokoro Tanaka, joint, Journal of Knot Theory and Its Ramifications

On rack colorings for surface-knot diagrams without branch points
2015, Kanako Oshiro, Kokoro Tanaka, joint, Topology and its Applications

Complementary regions of knot and link diagrams
Dec. 2011, Colin Adams, Reiko Shinjo, Kokoro Tanaka, joint, Ann. Comb., 15, 4

A note on CI-moves
2007, only, Intelligence of low dimensional topology 2006, Ser. Knots Everything, 40

Inequivalent surface-knots with the same knot quandle
Aug. 2007, only, Topology Appl., 154, 15

Khovanov-Jacobsson numbers and invariants of surface-knots derived from Bar-Natan's theory
Dec. 2006, only, Proc. Amer. Math. Soc., 134, 12

On surface-links represented by diagrams with two or three triple points
Dec. 2005, only, J. Knot Theory Ramifications, 14, 8

The braid index of surface-knots and quandle colorings
Jun. 2005, only, Illinois J. Math., 49, 2

Crossing changes for pseudo-ribbon surface-knots
Dec. 2004, only, Osaka J. Math., 41, 4

曲面結び目理論とカンドル理論
18 Mar. 2025, 日本数学会　2025年度年会　トポロジー分科会　特別講演

結び目n-カンドルのカンドル二次ホモロジー群
19 Mar. 2024, 2024 日本数学会年会

The second quandle homology group of the knot n-quandle
24 Feb. 2024, The 19th East Asian Conference on Geometric Topology

Khovanov homology for virtual links with two types of maps for Möbius cobordisms

Studies on surface-knots using quandles and quandle homology theory

Khovanov-Jacobsson numbers of surface-knots and their extension

二次元結び目の結び目カンドルと結び目群について
17 Mar. 2023, 日本数学会2023年度年会

Independence of Roseman moves for surface knots
10 Feb. 2020, The 15th East Asian Conference on Geometric Topology

曲面絡み目の橋指数と圭彩色
29 Nov. 2019

Quandle cocycle invariants and shadow cocycle invariants
24 Mar. 2019, AMS meeting

A relation between biquandle colorings and quandle colorings
26 Nov. 2017

Homology theory for multiple conjugation quandles
27 Jul. 2017, Tsuda University Topology Workshop

Coherent and incoherent numbers of a knot
14 Oct. 2016, 東北結び目セミナー

The canonical genus of Whitehead doubles of non-prime alternating knots
12 Feb. 2016, BK21 Seminar

特別研究員等審査会専門委員（書面担当）の表彰
30 Jun. 2019

建部賢弘賞奨励賞
25 Sep. 2009