ITO Noboru
Academic Assembly School of Science and Technology Institute of Engineering
Faculty of Engineering Engineering Core Division
Associate Professor
Researcher Information
Research Keyword
- Curves on surfaces, quantum computing, Quantum error-correcting codes, Arnold invariants, Representation Theory, unknotting number, Singularity Theory, Quantum group, Jones polynomial, Khovanov hoomlogy, Quantum invariants, crosscap number, Vassiliev invariants
Web site
Career
- 2024 - Present
Shinshu University, Department of Mathematics, Faculty of Engineering - 2020 - 2024
Ibaraki National College of Technology, 講師 - 2017 - 2020
The University of Tokyo, Graduate School of Mathematical Sciences, 特任研究員 - 2017 - 2017
The University of Tokyo, Graduate School of Mathematical Sciences, 特任研究員 - 2016 - 2017
The University of Tokyo, Graduate School of Mathematical Sciences, Project Researcher - 2015 - 2016
Waseda University, Institue for Advanced Study, Associate Professor (fixed term) - 2013 - 2015
Waseda Institute for Advanced Study, Assistant Professor - 2013 - 2013
Fund for JSPS Overseas Research Fellowships - 2011 - 2013
Waseda University, Assistant Professor, Faculty of Science and Engineering - 2010 - 2011
Waseda University, Research Associate, Faculty of Science and Engineering - 2008 - 2010
The Japan Society for the Promotion of Science, Grant-in-Aid for JSPS, DC2
Educational Background
Research activity information
Award
- 2023
International of Journal of Mathematics, Most Read Articles
The most read articles in the last 3 years
Noboru Ito;Yusuke Takimura - 2023
Journal of Knot Theory and Its Ramifications, Most Read Articles
The most read articles in the last 3 years
Noboru Ito;Yusuke Takimura - 2023
豊橋技術科学大学, [Student Award in Ito Lab.] Prize by Toyohashi Tech.
量子トポロジーの応用による量子計算の新しい効率化と評価(課題番号2309)
山田海音(前半講演者);カモンパット・インタウォン(後半講演者);安細勉;奥出真理子;小松﨑武士;鈴木幸太郎;吉田純;伊藤昇(研究代 - 2023
NIT (KOSEN), National Institute of Technology, Student Award by President
[Student Award in Ito Lab.] Prize by Director of NIT (KOSEN)
Kamolphat Intawong - 2023
[Student Award in Ito Lab] NIT Ibaraki College, Honour prize
および本人の他業績・日頃の実績と合わせて卒業表彰(特別功労賞）
Kamolphat Intawong - 2023
[指導学生の表彰] 茨城工業高等専門学校 学生 奨励賞
（２度目）, 卒業表彰（功労賞）
山田海音 - 2022
Journal of Knot Theory and Its Ramifications, MOST READ ARTICLES (TOP 5 in the last 3 years)
A lower bound of crosscap numbers of alternating knots
Noboru Ito;Yusuke Takimura - 2022
International Journal of Mathematics (World Scientific), MOST READ ARTICLES (TOP in the last 3 years)
Crosscap number of knots and volume bounds
Noboru Ito;Yusuke Takimura - 2022
NIT IC, Prize by Director of NIT Ibaraki College
山田海音 - 2022
豊橋技術科学大学, 優秀学術賞
量子トポロジーの量子計算への応用と世界トップの軌道解析 (課題番号1304), Japan, Japan society
山田海音(講演者);安細勉;奥出真理子;鈴木幸太郎;矢作優樹;山中稜斗;吉田純;伊藤昇(代表者) - 2022
国立高等専門学校機構, [Student Award in Ito Lab.] Prize by Director of NIT (KOSEN)
山田海音
伊藤との共著論文を書いた山田海音が高く評価された． - 2022
International Journal of Mathematics, Top Downloaded Articles 2021
Crosscap number of knots and volume bounds
Noboru Ito;Yusuke Takimura - 2022
Journal of Knot Theory and Its Ramification, Top Downloaded Articles 2021
A lower bound of crosscap numbers of alternating knots
Noboru Ito;Yusuke Takimura - 2021
茨城工業高等専門学校, 職員表彰（茨城工業高等専門学校）
授業内容方法等 - 2018
Candidate screening for JSPS Leading Initiative for Excellent Young Researchers (LEADER)
Noboru Ito - 2013
Candidates for JSPS Overseas Research Fellowships
Noboru Ito - 2007
Waseda University, Scholarship for Young Doctoral Students
Noboru Ito - 2006
Waseda University, Azusa Ono Memorial Scholarship
Noboru Ito - 2005
JASSO (Japan Student Services Organization), Repayment waiver of JASSO loan-based scholarship by certification of excellent performance
Noboru Ito - 2005
Waseda University, Azusa Ono Memorial Scholarship
Noboru Ito
Paper
- Double linking number
Kamolphat Intawong; Noboru Ito
JP Journal of Geometry and Topology, Nov. 2023, Refereed
Last
- Milnor's triple linking number and Gauss diagram formulas of 3-bouquet graphs
Noboru Ito; Natsumi Oyamaguchi
J. Knot Theory Ramifications, Aug. 2023, Refereed
Lead, Corresponding - Curvature and quantized Arnold strangeness
Noboru Ito
International Journal of Mathematics, Jul. 2023, Refereed
Lead, Last, Corresponding - Automatic computation of crosscap number of alternating knots
Kaito Yamada; Noboru Ito
JP Journal of Geometry and Topology, 29(1), 35-45, May 2023, Refereed
Last, Corresponding - $\mathfrak{gl}(1 \vert 1)$-Alexander polynomial for $3$-manifolds
Yuanyuan Bao; Noboru Ito
International Journal of Mathematics, 34(4), Apr. 2023, Refereed - Goussarov-Polyak-Viro Conjecture for degree three case (previous version: available download from arXiv)
Noboru Ito; Yuka Kotorii; Masashi Takamura
J. Knot Theory Ramifications, 31(5), 2250019-1-2250019-37, Jul. 2022, Refereed, Not invited
Lead, Corresponding - Variations of Milnor's triple linking number (available downloaded from arXiv)
Kamolphat Intawong; Noboru Ito
JP Journal of Geometry and Topology, 27, 67-75, Jul. 2022, Refereed
Last, Corresponding - Crosscap number three alternating knots
Noboru Ito; Yusuke Takimura
J. Knot Theory Ramifications, 31(4), 2250026-1-2250026-11, Jun. 2022, Refereed, Not invited
Lead, Corresponding - On a Poincaré polynomial from Khovanov homology and Vassiliev invariants (available download from arXiv)
Noboru Ito; Masaya Kameyama
JP Journal of Geometry and Topology, 27, 33-48, May 2022, Refereed, Not invited
Lead, Corresponding - New invariants of Legendrian knots (available downloaded by arXiv)
Noboru Ito; Masashi Takamura
Topology Appl., 312, 108044-1-108044-6, May 2022, Refereed
Lead, Corresponding - On elementary moves of singular Legendrian knots (available downloaded by arXiv)
Sara Yamaguchi; Noboru Ito
JP Journal of Geometry and Topology, 27, 1-9, Feb. 2022, Refereed
Last, Corresponding - Plumbing and computation of crosscap number (available with downloaded from arXiv)
Noboru Ito; Kaito Yamada
JP Journal of Geometry and Topology, 26(2), 103-115, Nov. 2021, Refereed
Lead, Corresponding - On Khovanov complexes (Preprint available download from arXiv)
Noboru Ito
Topology and Its Applications, 301, 107514-1-107514-31, Sep. 2021, Refereed, Invited
Lead, Corresponding
- New deformations on spherical curves and Östlund conjecture (Preprint available on arXiv)
Megumi Hashizume; Noboru Ito
Topology and its Applications, 301, 107508-1-107508-12, Sep. 2021, Refereed, Invited - Arrow diagrams on spherical curves and computations (available download from arXiv)
Noboru Ito; Masashi Takamura
J. Knot Theory Ramifications, 30(07), 2150045-1-2150045-47, Aug. 2021, Refereed, Not invited
Lead, Corresponding - Any nontrivial knot projection with no triple chords has a monogon or a bigon (final draft is available with downloaded from arXiv)
Noboru Ito; Yusuke Takimura
Topology Proceedings, 60, 31-44, Aug. 2021, Refereed
Lead, Corresponding - A cobordism realizing crossing change on sl2 tangle homology and a categorified Vassiliev skein relation (available download from arXiv)
Noboru Ito; Jun Yoshida
Topology Appl., 296, 107646-1-107646-31, Jun. 2021, Refereed, Not invited
Lead, Corresponding - Gauss diagram formulas of Vassiliev invariants of 2-bouquet graphs（available for download from arXiv)
Noboru Ito; Natsumi Oyamaguchi
Topology and its Applications, 290, 107580-1-107580-13, Mar. 2021, Refereed, Not invited
Lead, Corresponding - Crosscap number of knots and volume bounds (Open Access in Journal Page)
Noboru Ito; Yusuke Takimura
International Journal of Mathematics, 31(13), 2050111-1-2050111-33, Dec. 2020, Refereed
Lead, Corresponding - RII number of knot projections (available download from arXiv)
Noboru Ito; Yusuke Takimura
Kobe. J. Math., 37(1--2), 67-84, Dec. 2020, Refereed, Not invited
Lead, Corresponding - Positive knots and weak (1,3) homotopy
Noboru Ito; Yusuke Takimura
J. Knot Theory Ramifications, 29(9), 2050061-1-2050061-9, Aug. 2020, Refereed, Not invited
Lead, Corresponding - Crossing change on Khovanov homology and a categorified Vassiliev skein relation (available for download from arXiv)
Noboru Ito; Jun Yoshida
J. Knot Theory Ramifications, 29(7), 2050051-1-2050051-24, Jun. 2020, Refereed, Not invited
Lead - A lower bound of crosscap numbers of alternating knots (Publish ver. Free Access, limited period): https://www.worldscientific.com/doi/10.1142/S0218216519500925
Noboru Ito; Yusuke Takimura
Journal of Knot Theory and Its Ramifications, 29(1), 1-15, Feb. 2020, Refereed, Not invited
Lead, Corresponding - Space of chord diagrams on spherical curves (available download from arXiv)
Noboru Ito
Internat. J. Math., 30(12), 1950060-1-1950060-25, Dec. 2019, Refereed, Not invited
Lead, Corresponding - Higher-order finite type invariants of classical and virtual knots and unknotting operations (available for download from arXiv)
Ito, N.; Sakurai, M.
Topology and Its Applications, 264, 210-222, Jun. 2019, Refereed, Not invited
Lead - On n-trivialities of classical and virtual knots for some unknotting operations (available download from arXiv)
Ito, Noboru; Sakurai, Migiwa
J. Math. Soc. Japan, 71(1), 329-347, Jan. 2019, Refereed, Not invited
Lead, Corresponding - Crosscap number and knot projections (available download from arXiv)
Noboru Ito; Yusuke Takimura
Internat. J. Math., 29(12), 1850084-1-1850084-21, Nov. 2018, Refereed, Not invited
Lead, Corresponding - The tabulation of prime knot projections with their mirror images up to eight double points
Noboru Ito; Yusuke Takimura
Topology Proc., 53, 177-199, Oct. 2018, Refereed, Not invited
Lead, Corresponding - A distance on the equivalence classes of spherical curves generated by deformations of type RI
Funakoshi, Yukari; Hashizume, Megumi; Ito, Noboru; Kobayashi, Tsuyoshi; Murai, Hiroko
J. Knot Theory Ramifications, 27(12), 1850066-1-1850066-22, Oct. 2018, Refereed, Not invited - Based chord diagrams of spherical curves (available for download from arXiv)
Noboru Ito
Kodai Mathematical Journal, 41(2), 375-396, Jun. 2018, Refereed, Not invited
Lead, Corresponding - The Universe Consists of Knots : A Key Idea on Geometry and Physics
Noboru Ito
Butsuri (The Nihon Butsuri Gakkaishi), 73(2), 76-84, Feb. 2018, Refereed, Invited - Circle arrangements of link projections (available download from arXiv)
Noboru Ito; Shosaku Matsuzaki; Kouki Taniyama
Kobe J. Math., 34, 27-36, Dec. 2017, Refereed, Not invited
Lead, Corresponding - Thirty-two equivalence relations on knot projections (available download from arXiv)
Ito, Noboru; Takimura, Yusuke
Topology Appl., 225, 130-138, Jul. 2017, Refereed, Not invited
Lead, Corresponding - Strong and weak (1, 2) homotopies on knot projections and new invariants (available download from arXiv)
Noboru Ito; Yusuke Takimura
Kobe J. Math., 33, 13-30, Dec. 2016, Refereed, Not invited
Lead, Corresponding - On a nontrivial knot projection under (1,3) homotopy (available download from arXiv)
Ito, Noboru; Takimura, Yusuke
Topology Appl., 210, 22-28, Sep. 2016, Refereed, Not invited
Lead, Corresponding - Triple chords and strong (1,2) homotopy (available for download from arXiv, and Project Euclid)
Ito, Noboru; Takimura, Yusuke
J. Math. Soc. Japan, 68(2), 637-651, Apr. 2016, Refereed, Not invited
Lead, Corresponding - Knot projections with reductivity two (available download from arXiv)
Ito, Noboru; Takimura, Yusuke
Topology Appl., 193, 290-301, Sep. 2015, Refereed, Not invited
Lead, Corresponding - Strong and weak (1,2,3) homotopies on knot projections (available for download from arXiv)
Ito, Noboru; Takimura, Yusuke
Internat. J. Math., 26(9), 1550069-1-1550069-8, Aug. 2015, Refereed, Not invited
Lead, Corresponding - Strong and weak (1, 3) homotopies on knot projections (available download from arXiv)
Ito, Noboru; Takimura, Yusuke; Taniyama, Kouki
Osaka Journal of Mathematics, 52(3), 617-646, Jul. 2015, Refereed, Not invited - A colored Khovanov bicomplex (available for download from arXiv)
Noboru Ito
Banach Center Publications, 103, 111-143, Jan. 2015, Refereed, Not invited
Lead, Corresponding - Sub-chord diagrams of knot projections (available for download from arXiv)
Ito, Noboru; Takimura, Yusuke
Houston J. Math., 41(2), 701-725, 2015, Refereed, Not invited
Lead, Corresponding - A new aspect of the Arnold invariant J⁺ from a global viewpoint (w/ PDF with permission of IUMJ)
Hayano, Kenta; Ito, Noboru
Indiana Univ. Math. J., 64(5), 1343-1357, 2015, Refereed, Not invited
Corresponding - Addendum: (1, 2) and weak (1, 3) homotopies on knot projections (vol 22, 1350085, 2013) (available for download from arXiv)
Ito, Noboru; Takimura, Yusuke
J. Knot Theory Ramifications, 23(8), 1491001-1-1491001-2, Jul. 2014, Refereed, Not invited
Lead, Corresponding - (1, 2) and weak (1, 3) homotopies on knot projections (available for download from arXiv)
Ito, Noboru; Takimura, Yusuke
J. Knot Theory Ramifications, 22(14), 1350085-1-1350085-14, Dec. 2013, Refereed, Not invited
Lead, Corresponding - Survey and remarks on Viro's definition of Khovanov homology (available for download from arXiv)
Noboru Ito
RIMS Kôkyûroku Bessatsu, B39, 9-19, Apr. 2013, Refereed, Not invited
Lead, Corresponding - Jones polynomials of long virtual knots(available download from arXiv)
Ito, Noboru
J. Knot Theory Ramifications, 22(2), 1350002-1-1350002-17, Feb. 2013, Refereed, Not invited
Lead, Corresponding - The half-twisted splice operation on reduced knot projections (available for downloaded from arXiv)
Noboru Ito; Ayaka Shimizu
J. Knot Theory Ramifications, 21(11), 1250112-1-1250112-10, Aug. 2012, Refereed, Not invited
Lead - Finite type invariants of nanowords and nanophrases (available for downloaded from arXiv)
Gibson, Andrew; Ito, Noboru
Topology Appl., 158(8), 1050-1072, May 2011, Refereed, Not invited - Chain homotopy maps for Khovanov homology
Ito, Noboru
J. Knot Theory Ramifications, 20(1), 127-139, Jan. 2011, Refereed, Not invited
Lead, Corresponding - Construction of invariants of curves and fronts using word theory
Ito, Noboru
J. Knot Theory Ramifications, 19(9), 1205-1245, Sep. 2010, Refereed, Not invited
Lead, Corresponding - Finite-type invariants for curves on surfaces (w/ URL, available from Project Euclid)
Noboru Ito
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 85(9), 129-134, Nov. 2009, Refereed, Not invited
Lead, Corresponding
MISC
- Knots and Category Theory
Noboru Ito
Mathematical Sciences, 62(11), 54 - 61, 19 Oct. 2024, Invited - [Under Review] Lifting link invariants by functors on nanophrases
Tomonori Fukunaga; Noboru Ito
09 Jan. 2024
http://arxiv.org/abs/2401.04506v1 - [Under Review] Applications of linking number theory to authoticfication technology
Kamolphat Intawon; Tsutomu Ansai; Noboru Ito
28 Dec. 2023 - [Under Review]A triple coproduct of curves and knots
Noboru Ito; Takeshi Komatsuzaki
10 Apr. 2023
http://arxiv.org/abs/2203.13672v2 - [Under Review]On the four-term relation on Khovanov homology
Noboru Ito; Jun Yoshida
17 Feb. 2022
http://arxiv.org/abs/2202.08527v1 - [Under Review] On Type II Reidemeister moves of links
Noboru Ito
17 Jan. 2022
http://arxiv.org/abs/2201.06436v1 - On the existence of a colored Khovanov bicomplex—表現論とその組合せ論的側面
伊藤 昇
数理解析研究所講究録, (2161), 202 - 210, Jun. 2020 - On the existence of a colored Khovanov bicomplex (Representation Theory and its Combinatorial Aspects)
Noboru Ito
RIMS Kokyuroku, 2161, 202 - 210, Jun. 2020 - Knot projections with reductiveity two
Noboru Ito, Yusuke Takimura
結び目の数学Ⅷ, 報告集, Feb. 2016, Not invited - Strong and weak $(1,3)$ homotopies on spherical curves and related topics (Intelligence of Low-dimensional Topology)
Ito, Noboru; Takimura, Yusuke; Taniyama, Kouki
数理解析研究所講究録, 1960, 101 - 106, Aug. 2015 - Triple chords and strong (1, 2) homotopy
Noboru Ito, Yusuke Takimura
結び目の数学VII, 報告集, Feb. 2015, Not invited - Goussarov-Polyak-Viro finite type invariants for nanowords and nanophrases
伊藤 昇
研究集会「結び目の数学II」報告集, 203 - 209, 2010
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08J00935/ - 語を用いた曲線の有限型不変量について
伊藤 昇
第5回城崎新人セミナー報告集 5, 169 - 173, 2009
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08J00935/ - Reidemeister invariance for Khovanov homology
伊藤 昇
第14回代数若手研究会報告集 14, 2009
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08J00935/ - Finite-type invariants for curves, categorification of Jones polynomial with Z/2Z coefficients for knot, and word theory
伊藤 昇
北海道大学数学講究録 140, 101 - 108, 2009
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08J00935/ - Finite-type invariants of words for curves
伊藤 昇
第13回代数学若手研究会報告集 13, 1 - 5, 2008
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08J00935/
Books and other publications
- ほのぼのコラひたちのなかの数学問答37」（基底の変換行列）月刊「現代数学」12月号
伊藤昇, (挿絵 MiriKulo:rer)
Nov. 2024Knots and Category Theory
Noboru Ito, Vol. 62-11, pp. 54-61, サイエンス社, 2024.
SAIENSU-SHA Co., Ltd., 54-61 Oct. 2024ほのぼのコラひたちのなかの数学問答36」（ラプラス変換）月刊「現代数学」11月号
伊藤昇, (挿絵 MiriKulo:rer)
Oct. 2024ほのぼのコラひたちのなかの数学問答35」（ガウス積分）月刊「現代数学」10月号
伊藤昇, (挿絵 MiriKulo:rer)
Sep. 2024ほのぼのコラひたちのなかの数学問答34」（上極限と下極限）月刊「現代数学」9月号
伊藤昇, (挿絵 MiriKulo:rer)
Aug. 2024Heartwarming Column 33 (Magazine: Modern Mathematics)
Noboru Ito; MiriKulo:rer
Jul. 2024Heartwarming Column 32 (Magazine: Modern Mathematics)
Noboru Ito, MiriKulo:rer
Jun. 2024Mathematical Researches of technical college students and Tea time
伊藤昇, Single work
Dainippon Tosho, Jun. 2024Heartwarming Column 31 (Magazine: Modern Mathematics)
Noboru Ito, MiriKulo:rer
May 2024Heartwarming Column 30 (Magazine: Modern Mathematics)
Noboru Ito, MiriKulo:rer
Apr. 2024Heartwarming Column 29 (Magazine: Modern Mathematics)
Noboru Ito, MiriKulo:rer
Mar. 2024Heartwarming Column 28 (Magazine: Modern Mathematics)
Noboru Ito, MiriKulo:rer
Feb. 2024Heartwarming Column 27 (Magazine: Modern Mathematics)
Noboru Ito; MiriKulo; rer
現代数学社, Jan. 2024Heartwarming Column 26 (Magazine: Modern Mathematics)
Noboru Ito; MiriKulo; rer
現代数学社, Dec. 2023Heartwarming Column 25 (Magazine: Modern Mathematics)
Noboru Ito; MiriKulo; rer
現代数学社, Nov. 2023Heartwarming Column 24 (Magazine: Modern Mathematics)
伊藤昇, (挿絵 MiriKulo:rer)
現代数学社, Oct. 2023Heartwarming Column 23 (Magazine: Modern Mathematics)
伊藤昇,(挿絵 MiriKulo:rer)
現代数学社, Sep. 2023Heartwarming Column 22 (Magazine: Modern Mathematics)
伊藤昇, (挿絵 MiriKulo:rer)
現代数学社, Aug. 2023Heartwarming Column 21 (Magazine: Modern Mathematics)
Noboru Ito (Illustration MiriKulo:rer), Single work
現代数学社, Jul. 2023Heartwarming Column 20 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer), Single work
Gendai-Sugakusha, Jun. 2023Heartwarming Column 19 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer)
Gendai-Sugakusha, May 2023Heartwarming Column 18 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer)
現代数学社, Apr. 2023Heartwarming Column 17 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer)
現代数学社, Mar. 2023Heartwarming Column 16 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer)
現代数学社, Feb. 2023Heartwarming Column 15 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer)
現代数学社, Jan. 2023Heartwarming Column 14 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer)
現代数学社, Dec. 2022Introduction to two books for seminars
伊藤 昇
日本評論社, Dec. 2022Heartwarming Column 13 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer)
現代数学社, Nov. 2022Heartwarming Column 12 (Magazine: Modern Mathematics)
伊藤昇, (挿絵:MiriKulo:rer), Single work
現代数学社, Oct. 2022Heartwarming Column 11 (Magazine: Modern Mathematics)
伊藤昇; (挿絵MiriKulo:rer), Single work
現代数学社, 4-5 Sep. 2022Heartwarming Column 10 (Magazine: Modern Mathematics)
伊藤昇; (挿絵MiriKulo:rer), Single work
現代数学社, 4-5 Aug. 2022Heartwarming Column 9 (Magazine: Modern Mathematics)
伊藤昇; (挿絵MiriKulo:rer), Single work
現代数学社, Jul. 2022Heartwarming Column 8 (Magazine: Modern Mathematics)
伊藤昇; (挿絵MiriKulo:rer), Single work
現代数学社, Jun. 2022Heartwarming Column 7 (Magazine: Modern Mathematics)
伊藤昇; (挿絵MiriKulo:rer), Single work
現代数学社, May 2022Heartwarming Column 6 (Magazine: Modern Mathematics)
伊藤昇; (挿絵MiriKulo:rer), Single work
現代数学社, Apr. 2022Heartwarming Column 5 (Magazine: Modern Mathematics)
伊藤昇; (挿絵MiriKulo:rer)
現代数学社, Mar. 2022Heartwarming Column 4 (Magazine: Modern Mathematics)
伊藤昇; (挿絵 MiriKulo:rer)
現代数学社, Feb. 2022Heartwarming Column 3 (Magazine: Modern Mathematics)
伊藤昇; (挿絵 MiriKulo:rer), Single work
現代数学社, Jan. 2022Heartwarming Column 2 (Magazine: Modern Mathematics)
伊藤昇; (挿絵 MiriKulo:rer)
現代数学社, Dec. 2021Heartwarming Column 1 (Magazine: Modern Mathematics)
伊藤昇; (挿絵 MiriKulo:rer)
現代数学社, Nov. 2021Finding spanning surfaces of knots! at Summer School for girls in middle and high school
伊藤昇, 10 pages
Japan Math Soc., Nov. 2021, RefereedBook Review "Multivariable Calculus"
伊藤昇, Single work, ページ92
日本評論社, Aug. 2021KOSEN brochure --- Setting up Study group: "Quantum topology network"
Noboru Ito; Jun Yoshida; Natsumi Oyamaguchi, <結び目量子情報トポロジーネットワーク>
高専機構本部, Mar. 2021, RefereedBook Review "Mathematics in Life"
Noboru Ito, Magazine "Mathematics Seminar" August 2020 (Page 86)
Nippon Hyoron Sha Co.,Ltd., 86 Jul. 2020Round-table discussion "Let's read a mathematical book! / How to interact with a mathematical book that suits you."
Noboru Ito; Hiroshi Matsuzawa; Yoichi Mieda, 数学セミナー増刊『数学好きの人のためのブックガイド』 (Pages 1-8)
Nippon Hyoron Sha Co.,Ltd., 1-8 Apr. 2020Book Review "Trials of Calculus"
Magazine "Mathematics Seminar" January 2020 (Page 98)
Nippon Hyoron Sha Co.,Ltd., 98 Dec. 2019Cover Figure of the Month / Unorientable Surface Bounded by a Knot
Magazine "Mathematics Seminar" May 2019
Nippon Hyoron Sha Co.,Ltd., 48-52 Apr. 2019Categorification of Knot Theory
Noboru Ito, Single work
Nippon Hyoron Sha Co.,Ltd., Mar. 2018, Refereed
ISBN:4535788138Categorification of Knot Theory
Noboru Ito, Single work
Nippon Hyoron Sha Co.,Ltd., 2018, Refereed
ISBN:9784535788138Impossibility in Topology (knot), (Feature article: Proof of Impossibility)
Magazine "Mathematics Seminar" October 2017 (Pages 14-18)
Nippon Hyoron Sha Co.,Ltd., 14-18 Sep. 2017[Serialization] Knot Journey 2016 (No. 6) "Destination of the Jouney"
Magazine "Mathematics Seminar" March 2016 (Pages 52-57)
Nippon Hyoron Sha Co.,Ltd., 52-57 Feb. 2016[Serialization] Knot Journey 2016 (No. 5) "Jouney of 2015"
Magazine "Mathematics Seminar" February 2016 (Pages 58-63)
Nippon Hyoron Sha Co.,Ltd., 58-63 Jan. 2016Knot projections
Noboru Ito, Single work
CRC Press, 2016, Refereed
ISBN:9781498736756[Serialization] Knot Journey 2016 (No. 4) "Jouney from 1997 to 2015"
Magazine "Mathematics Seminar" January 2016 (Pages 62-68)
Nippon Hyoron Sha Co.,Ltd., 62-68 Dec. 2015[Serialization] Knot Journey 2016 (No. 3) "Jouney from 1937 to 1997"
Magazine "Mathematics Seminar" December 2015 (Pages 47-53)
Magazine "Mathematics Seminar" December 2015, 47-53 Nov. 2015[Serialization] Knot Journey 2016 (No. 2) "Jouney from 1927 to 1937"
Magazine "Mathematics Seminar" November 2015 (Pages 77-80)
Nippon Hyoron Sha Co.,Ltd., 77-80 Oct. 2015[Serialization] Knot Journey 2016 (No. 1) "Chasing the Shadow of the Knot"
Magazine "Mathematics Seminar" October 2015 (Pages 53-59)
Nippon Hyoron Sha Co.,Ltd., 53-59 Sep. 2015Lectures, oral presentations, etc.
- A triple coproduct of curves on surfaces / Commutator and Arnold strangeness invariant
Shinshu Topology Seminar
Shinshu Topology Seminar, Jan. 2025, 信州トポロジーセミナー運営,Lifting link invariants using nanophrases : curves, knots, and Khovanov
Noboru Ito
Saga Souhatsu Mathematical Seminar, Nov. 2024, InvitedLifting link invariants by nanophrases
Noboru Ito
Kanazawa Topology Seminar, Apr. 2024, Invited,Integrating curvature and quantized Arnold strangeness
Noboru Ito
The 19th East Asian Conference on Geometric Topology, Feb. 2024, Not invited,Integrating curvature and a quantization of Arnold strangeness invariant
Noboru Ito
Shinshu Topology Seminar, Nov. 2023, Invited,[Tech. Report]Integrating curvature and quantizating Arnold strangenss invariant
Noboru Ito
MSJ Autumn Meeting Technical Report, Sep. 2023Integrating curvature and quantizating Arnold strangeness invariant
Noboru Ito
MSJ Meeting (Autumn), Sep. 2023, Not invitedA quantization of the Arnold strangeness invariant
Noboru Ito
筑波大学数学談話会（筑波大学科目「数学フロンティア」一部）, Jun. 2023, Invited,A triple coproduct and cuves on surfaces
Noboru Ito; Takeshi Komatsuzaki
岡山理科大-茨城高専数学セミナー, Mar. 2023,[Award by Student] Application of linking number to Authetification
インタウォン・カモンパット
先端的技術シンポジウム (ATS2022), Mar. 2023, Invited,[Award by Student] Automatic computation of non-orientable genus of alternating knots
山田海音
先端的技術シンポジウム（ATS2022）, Mar. 2023, 豊橋技術科学大学, Invited,Knot theory for Quantum computation
伊藤昇
Mar. 2022, Invited,[Award] Application of Qunatum Topology to Qunatum Information and World-leading trajectry analysis
山田海音; 安細勉; 奥出真理子; 鈴木幸太郎; 矢作優樹; 山中稜斗; 吉田純; 伊藤昇(代表)
Mar. 2022, 豊橋技術科学大学, Invited,[Report (in Japanease)] Implimation of S+ on Knot Eulerian Graph
山田海音; 安細勉; 奥出真理子; 鈴木幸太郎; 矢作優樹; 山中稜斗; 吉田純; 伊藤昇
豊橋技科大ATS2021予稿 兼 2021年度高専連携教育研究プロジェクト研究成果報告書, Feb. 2022, Invited,Quantum Topology Seminar Lecture Video (Yuanyuan Bao)
Yuanyuan Bao
Quantum Topology Seminar, Feb. 2022,On Goussarov-Polyak-Viro Conjecture (n=3)
Noboru Ito; Yuka Kotorii; Masashi Takamura
結び目の数理IV報告集, Jan. 2022Chain-level MOY relations on Khovanov-Rozansky homology (Technical Report)
Jun Yoshida (Collaborator: Noboru Ito; Keita Nakagane)
結び目の数理IV, Jan. 2022,gl(1|1)-Alexander polynomial for 3-manifolds
Yuanyuan Bao; Noboru Ito
結び目の数理IV報告集, Jan. 2022,Buyout system lecturer, Shinshu University (2021.12.24)
Noboru Ito
Dec. 2021, Invited結び目と量子トポロジーについて
伊藤昇
高専女子会2021冬の巻, Dec. 2021, Invited,FD seminar, Ibaraki national college of technology
Nov. 2021, InvitedSummer school for girls 2021 (Division of the mathematical society of Japan) poster and career consultation
久野恵梨香; 伊藤昇
女子中高生夏の学校2021（日本数学会の部門）ポスターとキャリア相談, Aug. 2021, NPO法人 女子中高生理工系キャリアパスプロジェクト（協力：男女共同参画学協会連絡会, 後援: 文部科学省, 内閣府男女共同参画局, 日本経済団体連合会等）, Invited,Summer school for junior high and high school girls experiments and hands-on practice (The mathematical society of Japan) “Search for the tied soap bubble membrane!”
伊藤昇
女子中高生夏の学校〜科学・技術・人との出会い〜, Aug. 2021, NPO法人 女子中高生理工系キャリアパスプロジェクト（協力：男女共同参画学協会連絡会, 後援: 文部科学省, 内閣府男女共同参画局, 日本経済団体連合会等）, Invited,On Vassiliev derivatives of Khovanov homology
Jun Yoshida; Noboru Ito
トポロジーシンポジウム予稿集, Jul. 2021, トポロジーシンポジウムトポロジー分科会, Invited,Computing crosscap numbers of alternating knots (with Kaito Yamada)
Noboru Ito
第二ブロックオンライン研究発表会, Mar. 2021, Not invited,Knot Quantum Topology Network (Reprot-Movie)
Noboru Ito; Takuya Ukida; Ryoma Kobayashi; Natsumi Oyamaguchi; Jun Yoshida
KOSENフォーラム, Mar. 2021, 高専機構本部, Invited,A cobordism realizing crossing change on sl(2) tangle homology and a categorified Vassiliev skein relation
Noboru Ito; Jun Yoshida
Proceedings Conference Math. Sci. of Knots, Feb. 2021,Splice-unknotting number and crosscap number
Noboru Ito
Friday Seminar on Knot Theory, Jan. 2021, OCAMI, Invited,A cobordism realizing crossing change on sl(2) tangle homology and a categorified Vassiliev skein relation
Noboru Ito
Mathematical Science of Knots III, Dec. 2020, 大山淑之，新國亮（開催地：東京女子大学）, Not invited,On a question of Östlund — Diagrammatic Vassiliev invariant and RII number
Noboru Ito
On a question of Östlund — Diagrammatic Vassiliev invariant and RII number, Dec. 2020, L. H. Kauffman, Invited,On a question of Turaev — Nanoword invariants of finite type
Noboru Ito
MSCS Quantum Topology Seminar, Dec. 2020, L. H. Kauffman, Invited,On a question of Östlund --- Diagrammatic Vassiliev invariant and RII number, Quantum Topology Seminar (Movie)
Noboru Ito
Dec. 2020,On a question of Turaev --- Nanoword invariants of finite type, Quantum Topology Seminar (Movie)
Noboru Ito
Dec. 2020A study of finite type invariants of higher-orders of classical and virtual knots
Noboru Ito
MSCS Quantum Topology Seminar, Nov. 2020, L. H. Kauffman, InvitedFinite type invariants filtered by forbidden moves for classical and virtual knots
Noboru Ito
MSCS Quantum Topology Seminar, Nov. 2020, L. H. Kauffman, InvitedOn a conjecture by Goussarov-Polyak-Viro for virtual knots and Gauss diagram formulas
Noboru Ito
Quantum Topology Seminar, Nov. 2020, L. H. Kauffman, InvitedA study of finite type invariants of higher-orders of classical and virtual knots, Quantum Topology Seminar (Movie)
Noboru Ito
Nov. 2020,Finite type invariants filtered by forbidden moves for classical and virtual knots, Quantum Topology Seminar (Movie)
Noboru Ito
Nov. 2020On a conjecture by Goussarov-Polyak-Viro for virtual knots and Gauss diagram formulas, Quantum Topology Seminar (Movie)
Nov. 2020,Splice-unknotting operation and crosscap number
Noboru Ito
Tohoku Knot Seminar 2020, Oct. 2020, Hiroshi Matsuda; Akihisa Kadokami; Yasuharu Nakae; Shoji Yamaguchi, Not invited,On a cobordism realizing crossing change on sl(2) tangle homology and a categorified Vassiliev skein relation
Noboru Ito
E-KOOK Seminar (held at Osaka City University), Sep. 2020, Hirotaka Akiyoshi; Taizo Kanenobu, Not invited,[彙報] Unknotting operations, crosscap numbers, and volume bounds (full proofs), Quantum Topology Seminar（動画）
伊藤昇
Aug. 2020,Unknotting operations, crosscap numbers, and volume bounds (full proofs)
Noboru Ito
Quantum Topology Seminar (MSCS, Chicago), Aug. 2020, L. H. Kauffman, Invited,[彙報] Unknotting operations, crosscap numbers, and volume bounds (Definitions, statements, idea) Quantum Topology Seminar (動画)
伊藤昇
Aug. 2020,Unknotting operations, crosscap numbers, and volume bounds (Definitions, statements, idea)
Noboru Ito
Quantum Topology Seminar (MSCS, Chicago), Aug. 2020, L. H. Kauffman, Invited,[彙報] A cobordism realizing crossing change on sl(2) tangle homology and a categorified Vassiliev skein relation, Quantum Topology Seminar 講演動画（共同研究, 吉田純（東大））
吉田純
Jul. 2020,Gauss diagram formulas of Vassiliev invariants of spatial 2-bouquet graphs in view of application
Noboru Ito; Natsumi Oyamaguchi
Tokyo Woman's Christian University Topology Seminar, Jul. 2020, Toshiyuki Ooyama, Ryo Nikkuni (held at Tokyo Woman's Christian University), Invited,On the existence of a colored Khovanov bicomplex
Noboru Ito
RIMS Kôkyûroku, Jun. 2020, 京都大学数理解析研究所, Invited,[Report] The tabulation of prime knot projections with their mirror images up to eight double points
伊藤昇; 瀧村祐介
日本数学会年会（日本大学）, Mar. 2020On crosscap numbers of alternating knots
Noboru Ito, Yusuke Takimura
Mathematical Science of Knots II, reports, Feb. 2020, Not invitedThe tabulation of prime knot projections with their mirror images up to eight double points
Yusuke Takimura, Noboru Ito
Mathematical Sciences of Knots II, reports, Feb. 2020, Not invitedCategorified Vassiliev skein relation on Khovanov homology
Jun Yoshida (Speaker); Noboru Ito
結び目の数理 II 報告集, Feb. 2020, Not invitedGauss diagram formulas for plane curves associated with Legendrian knots
Masashi Takamura (Speaker); Noboru Ito
結び目の数理 II 報告集, Feb. 2020, Not invited,Invariance of Khovanov homology and quantum code
Noboru Ito
Cross-cutting workshop Present state of quantum computer research and development, Jan. 2020, Ministry of Education, Culture, Sports, Science and Technology; MEXT (held at RIKEN), InvitedOn crosscap numbers of alternating knots
Noboru Ito
research meeting "Mathematical Science of Knots II", Dec. 2019, 市原一裕、茂手木公彦 (開催地: 日本大学), Not invitedA categorified Vassiliev skein relation on Khovanov homology
Noboru Ito
International workshop on Geomentry of Foliated Spaces, Nov. 2019, Hiraku Nozawa (held at Ritsumeikan University), InvitedOn a categorification of Vassiliev skein relation on Khovanov homology
Noboru Ito
Shinshu Topology Seminar, Nov. 2019, Keiichi Sakai (held at Shinshu University), InvitedOn crosscap numbers of knots
Noboru Ito
The Third Pan-Pacific International Conference on Topology and Applications, Nov. 2019, Sichuan University, InvitedOn the existence of a colored Khovanov bicomplex (PDF available via URL)
Noboru Ito
Representation Theory and its Combinatorial Aspects, Oct. 2019, Masao Ishikawa (held at RIMS, Kyoto University), InvitedCrosscap numbers of knots, band surgery, and unknotting operations
Noboru Ito
Hokuriku Knot Seminar 2019, Oct. 2019, Teruhisa Kadokami, Yasuharu Nakae, Hiroshi Matsuda, Yoshikazu Yamaguchi (held at Kanazawa University), Not invitedExtending Khovanov homology to singular knots based on Vassiliev skein relation (with J.Yoshida)
Noboru Ito
Kohno Lab. Intensive Seminar 2019, Sep. 2019, Toshitake Kohno (held at The University of Tokyo), Not invitedCrosscap numbers and volume bounds
Noboru Ito
Gokayama Topology ・Geometry Seminar 2019, Aug. 2019, Inasa Nakamura, InvitedCrosscap numbers and volume bounds
Noboru Ito
Kanazawa University Cryptography Seminar, Jun. 2019, Teruhisa Kadokami, Masahiro Mambo, Hidemitsu Wadade, InvitedChain homotopy maps for Khovanov homology
Noboru Ito
Kanazawa University Cryptography Seminar, Jun. 2019, Teruhisa Kadokami, Masahiro Mambo, Hidemitsu Wadade, Invited