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Affiliation Department |
Department of Electrical and Mechanical Engineering
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Professor |
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External Link |
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HIRASAWA Mikami
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Research Career
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結び目と三次元多様体
The Other Research Programs
Project Year： 1993.04
Papers
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Saddle point braids of braided fibrations and pseudo-fibrations Invited Reviewed International coauthorship
Bode, Benjamin; Hirasawa, Mikami
Res. Math. Sci. 11 ( 2 ) 1 - 33 2024.06
Authorship：Last author Language：English Publishing type：Research paper (scientific journal)
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Invariant Seifert surfaces for strongly invertible knots Invited Reviewed
M. Hirasawa, R. Hiura and M.Sakuma
Essays in Geometry 325 - 350 2023.08
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)
DOI： 10.4171/IRMA/34
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Stable Alexander polynomials of arborescent links Reviewed International coauthorship International journal
M. Hirasawa and K. Murasugi
Journal of Knot Theory and its Ramifications 28 ( 13 ) 1940017 2020.01
Language：English Publishing type：Research paper (scientific journal)
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Alternating knots with Alexander polynomials having unexpected zeros Reviewed International journal
M. Hirasawa, K. Ishikawa and M. Suzuki
Topology and its applications 253 48 - 56 2019
Language：English Publishing type：Research paper (scientific journal)
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Twisted Alexander polynomials of 2-bridge knots associated to dihedral representations Reviewed International coauthorship International journal
M. hirasawa and K. Murasugi
Journal of knot theory and its ramifications 2018.01
Language：English Publishing type：Research paper (scientific journal)
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Sphere eversion from the viewpoint of generic homotopy Reviewed International journal
Mikami Hirasawa, Minoru Yamamoto
Topology and its Applications 223 13 - 29 2017.06
Language：English Publishing type：Research paper (scientific journal) Publisher：Elsevier
DOI： 10.1016/j.topol.2017.02.074
Other Link： http://www.sciencedirect.com/science/article/pii/S0166864117301530?via%3Dihub
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On stability of Alexander polynomials of knots and links (survey) [(共著)」 Invited Reviewed
Kunio Murasugi
Banach Center Publicatins 100 85 - 98 2014.02
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)
We study distribution of the zeros of the Alexander polynomials of knots and links.
DOI： 10.4064/bc100-0-5
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Bridge presentations of virtual knots Reviewed
N.Kamada & S.Kamada
Journal of knot theory and its ramifications 20 ( ６ ) 881 - 893 2011.06
Language：English Publishing type：Research paper (scientific journal)
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Evaluations of the twisted Alexander polynomials of 2-bridge knots at ±1 Reviewed
K. Murasugi
Journal of knot theory and its ramifications 19 ( 10 ) 1355 - 1400 2010.08
Language：English Publishing type：Research paper (scientific journal)
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Fibered torti-rational knots Reviewed
K. Murasugi
Journal of knot theory and its ramifications 19 ( 10 ) 1291 - 1353 2010.08
Language：English Publishing type：Research paper (scientific journal)
Books and Other Publications
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数学者の選ぶ「とっておきの数学」
平澤美可三（ Role： Contributor）
日本評論社 2023.09
Total pages：208 Responsible for pages：24-29 Language：jpn Book type：Scholarly book
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美しい幾何学
平澤美可三, 監訳：高木隆司、共訳：稲葉芳成、川崎哲嗣、田中利文、吉田耕平（ Role： Sole author）
丸善出版 2015.03
Total pages：199 Responsible for pages：91-138 Language：jpn Book type：Scholarly book
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Polyhedora
M. Hirasawa et al.（ Role： Joint translator）
Suugaku shobou 2014.09 （ ISBN:978-4-903342-78-8 ）
Language：jpn Book type：Scholarly book
Misc
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Erratum to Construction and manipulation of Seifert surfaces in knot theory (a note in 2023)
M. Hirasawa
2024.08
Authorship：Lead author Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution)
Other Link： https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2289.html
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書評：『数学者たちの黒板』 Invited
平澤美可三
747 ( 2024.01 ) 88 - 88 2024.01
Authorship：Lead author Language：Japanese Publishing type：Book review, literature introduction, etc.
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Construction and manipulation of Seifert surfaces in knot theory (a note in 2023) Invited
M. Hirasawa
2263 21 - 38 2023.08
Authorship：Lead author Language：English Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution)
Other Link： https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2263.html
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ルービックキューブと数学／解法開発の技法 Invited
平澤美可三
61 ( 2 ) 8 - 14 2022.02
Authorship：Lead author Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media) Publisher：日本評論社
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4次元多面体入門／正多胞体の内訳と構成 Invited
平澤美可三
60 ( 9 ) 8 - 15 2021.09
Authorship：Lead author Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media) Publisher：日本評論社
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数学教室だより：名古屋工業大学大学院情報工学専攻情報数理分野 Invited
平澤美可三
20 ( 3 ) 37 - 38 2015.11
Language：Japanese Publisher：日本数学会
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パズルにおける多面体 Invited
平澤美可三
54 ( 8 ) 30 - 34 2015.06
Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media) Publisher：日本評論社
Presentations
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2024.09
Event date： 2024.09
Language：Japanese Presentation type：Oral presentation (general)
Country：Japan
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Newly found Salem polynomials among Alexander polynomials of knots and links International coauthorship
平澤美可三
2024.08
Event date： 2024.08
Language：Japanese Presentation type：Oral presentation (general)
Venue：兵庫県姫路市本町６８番２９０イーグレひめじ Country：Japan
Other Link： https://sites.google.com/gsuite.kobe-u.ac.jp/ekook2024
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The equivariant genera of marked strongly invertible knots associated with 2-bridge knots Invited International conference
M. Hirasawa
Séminaire de Topologie et Géométrie, University of Geneva 2024.03 University of Geneva
Event date： 2024.03
Language：English Presentation type：Oral presentation (invited, special)
Venue：Geneva Country：Switzerland
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Construction and manipulation of Seifert surfaces in knot theory Invited International conference
M. Hirasawa
Intelligence of Low-dimensional Topology 2023.05 Kyoto Univ
Event date： 2023.05
Language：Japanese Presentation type：Oral presentation (general)
Venue：Kyoto Country：Japan
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Stallings’, Harer’s and one more, last twist on fiber surfaces producing new fibered links International conference
M. Hirasawa
The 18th East Asian Conference on Geometric Topology 2023.02
Event date： 2023.02
Language：English Presentation type：Oral presentation (general)
Venue：Soochow University (zoom) Country：China
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2橋結び目の強対合で不変なザイフェルト曲面の最小種数
平澤美可三
拡大KOOKセミナー２０２２ 2022.08
Event date： 2022.08
Language：Japanese Presentation type：Oral presentation (general)
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Sphere eversion in virtual reality International conference
平澤美可三
2022.01
Event date： 2022.01
Language：English Presentation type：Oral presentation (general)
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On Alexander polynomials of degree over 764 of alternating knots with over 778 crossings Invited International conference
M. Hirasawa
Mini-Workshop "Knots + More" 韓國科學技術院
Event date： 2021.08
Language：English Presentation type：Oral presentation (invited, special)
Venue：韓國科學技術院
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Fiberation of knot complements and partial chirality of knots Invited International conference
Mikami Hirasawa
キラリティー、トポロジー、結び目論 第3回研究会
Event date： 2019.10 - 2019.11
Language：English Presentation type：Oral presentation (invited, special)
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Alternating knots with Alexander polynomials having unexpected zeros Invited International conference
Hirasawa Mikami
The 14th East Asian Conference on Geometric Topology
Event date： 2019.01
Language：English Presentation type：Oral presentation (invited, special)