Organization
Faculty of Education School Teacher Training Course Mathematics Professor
Title
Professor
Contact information
External link
Abe Toshiyuki
Degree
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Doctor of Science ( Osaka University )
Research Interests
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Lie algebra
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representation theory
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group
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代数
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algebra
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ring
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conformal field theory
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vertex operator algebra
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リー代数
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表現論
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環
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群
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共形場理論
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頂点作用素代数
Research Areas
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Natural Science / Algebra / vertex operator algebra
Education
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Osaka University Graduate school of Science Doctor course Mathematics
1999.4 - 2002.3
Country： Japan
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Osaka University Graduate school of Science Master course Mathematics
1997.4 - 1999.4
Country： Japan
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Osaka University Faculty of Sicence Mathematics
1993.4 - 1997.3
Country： Japan
Research History
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愛媛大学データサイエンスセンター 兼任教員
2020.4
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Ehime University Faculty of Education Professor
2014.4
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Ehime University Graduate school of Science and Engineering Associate Professor
2007.4 - 2014.3
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Ehime University Faculty of Science Lecturer
2004.6 - 2007.3
Professional Memberships
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Mathematical Society of Japan
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日本数学会
Committee Memberships
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愛媛県教育委員会 高校生おもしろ科学コンテスト(数学部門) 作問委員
2020.6
Committee type：Municipal
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愛媛県高等学校教育研究会数学部会 顧問
2020.5
Committee type：Municipal
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日本数学会 地方地区代議員
2015.3 - 2016.2
Committee type：Academic society
Papers
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Urban solutions for the problems in ``Zatsudai" edited by Sahei Onishi, Vol. 10
YOSHIHIRA Yoshiharu, YASUKI Ryunosuke, MUTAGUCHI Masatora, HARAMOTO Hiroshi, ABE Toshiyuki
3 9 - 15 2024.3
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大西佐兵衛『雑題』の現代解について～第8 巻第1 問から第4 問～
宮崎智也, 吉岡倖佑, 原本博史, 安部利之
愛媛大学教育学部付属科学教育センター紀要 2 17 - 22 2023.3
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On series of Collatz’s twins for Collatz conjecture
Nena Kuribayashi, Sena Takaaze, Hiroaki Fujimoto, Kazuma Miyakoda, Toshiyuki Abe
1 23 - 26 2022.3
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Development and Practice of Teacher Training Program For Improving Leadership of Project Research Reviewed
Heiwa MUKO, Manabu SUMIDA, Go NAKAMOTO, Takashi KUMAGAI, Atsushi OHASHI, Yoriko NAKAMURA, Masahiro HIZUME, Sakae SANO, Toshiyuki ABE, Naomichi YOSHIMURA, Hidenori HAYASHI, Yasuyuki YAGI, Eiji SATO, Yoshihiro YOKOTA, Masatsugu MANABE, Ryohei OCHI, Shinji TANIYAMA
17 ( 17 ) 55 - 60 2019.3
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Extensions of tensor products of Zp-orbifold models of the lattice vertex operator algebra V2Ap−1 Reviewed
Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada
Journal of Algebra 510 24 - 51 2018.9
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On Zp-orbifold constructions of the Moonshine vertex operator algebra Reviewed
Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada
Mathematische Zeitschrift 290 ( 1-2 ) 1 - 15 2018.1
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えひめサイエンスリーダースキルアッププログラム実践報告 －15パズルに関連した教材を用いて－
安部 利之
愛媛大学教育学部 紀要 64 1 - 6 2017
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Toshiyuki Abe, Yusuke Arike
JOURNAL OF ALGEBRA 373 39 - 64 2013.1
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C2-Cofiniteness of 2-Cyclic Permutation Orbifold Models Reviewed
Toshiyuki Abe
Communications in Mathematical Physics 317 ( 2 ) 425 - 445 2013
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Toshiyuki Abe
COMMUNICATIONS IN MATHEMATICAL PHYSICS 303 ( 3 ) 825 - 844 2011.5
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A Z(2)-orbifold model of the symplectic fermionic vertex operator superalgebra Reviewed
Toshiyuki Abe
MATHEMATISCHE ZEITSCHRIFT 255 ( 4 ) 755 - 792 2007.4
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Rationality of the vertex operator algebra V-L+ for a positive definite even lattice L Reviewed
T Abe
MATHEMATISCHE ZEITSCHRIFT 249 ( 2 ) 455 - 484 2005.2
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Fusion rules for the vertex operator algebras M(1)(+) and V-L(+) Reviewed
T Abe, CY Dong, HS Li
COMMUNICATIONS IN MATHEMATICAL PHYSICS 253 ( 1 ) 171 - 219 2005.1
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Classification of irreducible modules for the vertex operator algebra V-L(+): general case Reviewed
T Abe, CY Dong
JOURNAL OF ALGEBRA 273 ( 2 ) 657 - 685 2004.3
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Rationality, regularity, and C-2-cofiniteness Reviewed
T Abe, G Buhl, CY Dong
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 356 ( 8 ) 3391 - 3402 2004
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Finiteness of conformal blocks over compact Riemann surfaces Reviewed
T Abe, K Nagatomo
OSAKA JOURNAL OF MATHEMATICS 40 ( 2 ) 375 - 391 2003.6
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Finiteness of conformal blocks over the projective line Reviewed
ABE Toshiyuki
Fields Institute Communications 39 1 - 12 2003
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The charge conjugation orbifold V-Z alpha(+) is rational when <alpha,alpha >/2 is prime Reviewed
T Abe
INTERNATIONAL MATHEMATICS RESEARCH NOTICES ( 12 ) 647 - 665 2002
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Fusion rules for the charge conjugation orbifold Reviewed
T Abe
JOURNAL OF ALGEBRA 242 ( 2 ) 624 - 655 2001.8
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Fusion rules for the free bosonic orbifold vertex operator algebra Reviewed
T Abe
JOURNAL OF ALGEBRA 229 ( 1 ) 333 - 374 2000.7
MISC
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原田予想IIの解決に向けて Invited
安部 利之, 千吉良 直紀
数理解析研究所講究録 2189 77 - 86 2021.7
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On V-internal intertwining operators Invited
Abe Toshiyuki
RIMS Kokyuroku 2169 82 - 90 2020.9
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On Harada conjecture II
Toshiyuki Abe
2019.2
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解決の家庭や結果を振り返って修正・改善する力の育成
冨永剛志, 宇都宮憲二, 山本泰久, 安部利之, 河村泰之, 吉村直道
愛媛大学教育学部附属中学校研究紀要 ( 69 ) 83 - 108 2017.2
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頂点作用素代数 $\mathrm{Com}_{(\mathcal{L}_{\widehat{sl}_{2 } }(1,0)^{\otimes4})^\tau}(\mathcal{L}_{\widehat{sl}_{2 } }(4,0))$ の既約加群の分類について (有限群とその表現、頂点作用素代数、代数的組合せ論の研究)
安部 利之
数理解析研究所講究録 1965 13 - 20 2015.10
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A commutant in a cyclic permutation orbifold model of the lattice vertex operator algebra $V_{A_1}$ of order $4$ (Research on finite groups and their representations, vertex operator algebras, and algebraic combinatorics)
Abe Toshiyuki
RIMS Kokyuroku 1926 114 - 121 2014.12
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Toshiyuki Abe, Hiromichi Yamada
2014.4
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Toshiyuki Abe, Yusuke Arike
2011.8
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On $C_2$-cofiniteness of $\mathbb{Z}_2$-permutation orbifold models of vertex operator algebras (Research into Vertex Operator Algebras, Finite Groups and Combinatorics)
Abe Toshiyuki
RIMS Kokyuroku 1756 94 - 100 2011.8
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On $C_2$-confiniteness of $\mathbb{Z}_2$-orbifold models of vertex operator algebras (Finite Groups, Vertex Operator Algebras and Combinatorics)
Abe Toshiyuki
RIMS Kokyuroku 1656 7 - 12 2009.7
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Symplectic-fermionic 頂点作用素超代数(代数的組合せ論とその周辺)
安部 利之
数理解析研究所講究録 1476 182 - 187 2006.3
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A ${\mathbb Z}_2$-orbifold model of the symplectic fermionic vertex operator superalgebra
Toshiyuki Abe
- K07A245309H 2005.3
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Rationality of the vertex operator algebra $V_L^+$ for a positive definite even lattice $L$
Toshiyuki Abe
2003.11
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Finiteness of conformal blocks over compact Riemann surfaces
Toshiyuki Abe, Kiyokazu Nagatomo
2002.1
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頂点作用素代数$V^{+}_{L}$の有理性について (符合・格子・頂点作用素代数と有限群)
安部 利之
数理解析研究所講究録 1228 76 - 80 2001.9
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頂点作用素代数の表現論入門 (頂点作用素代数の表現論とその周辺)
安部 利之
数理解析研究所講究録 1218 8 - 14 2001.6
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Toshiyuki Abe
- K07A245309H 2001.1
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Fusion rules for the charge conjugation orbifold
Toshiyuki Abe
2000.6
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Fusion rules for the free bosonic orbifold vertex operator algebra
Toshiyuki Abe
1999.7
Presentations
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算変座標と円鎖
安部利之
第51回愛媛和算研究会 2024.7
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「雑題」第九～第十を読む 巻九[9-6]
安部利之
第49回愛媛和算研究会 2023.7
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Harada's Conjecture II and Gramian determinants
Toshiyuki Abe
2023.3
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小寺裕著「天生法百景」93番について
安部利之
第48回愛媛和算研究会 2023.2
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On Harada conjecture II Invited
Toshiyuki Abe
RIMS Workshop Research on finite groups, algebraic combinatorics, and vertex algebras 2020
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On V-internal intertwining operators Invited
Toshiyuki Abe
Research on algebraic combinatorics, related groups and algebras 2019.12
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symplectic-fermionic 頂点作用素代数
安部 利之
代数的組み合わせ理論とその周辺 2005.10
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On V-internal intertwining opearators and their properties Invited International conference
ABE Toshiyuki
Vertex Operator Algebras and Related Topics 2019.8
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Extensions of tensor products of vertex operator algebras $V_{ { \sqrt 2}A_n}^{\widehat{\sigma } } $ Invited International conference
ABE Toshiyuki
Vertex operator algebras and related topics 2018.11
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Extensions of tensor products of the VOA $V_{ { \sqrt 2}A_n}^\sigma $
ABE Toshiyuki
Aspects of Combinatorial Representaion Theory 2018.10
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原田予想 II への一考察
安部 利之
第30回有限群論草津セミナー 2018.7
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On a construction of VOAs having group-like fusion
ABE Toshiyuki
MSJ Spring Meeting 2017 2017.3
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Symplectic-fermionic 頂点作用素超代数の ${\mathbb Z}_2$-オービフォールド模型
安部 利之
日本数学会秋期分科会 2005.9
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A construction of VOAs having group-like fusion, Invited
ABE Toshiyuki
Finite Groups and Vertex Operator Algebras 2017 2017.3
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symplectic-fermionic 頂点作用素代数
安部 利之
共形場理論, 作用素環論とモジュラーなテンソル圏 2005.9
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The Leech lattice VOA as an extension of $V^{^\otimes 6}_{\sqrt{2}A_4}$
ABE Toshiyuki
2016.6
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A ${\mathbb Z}_2$-orbifold model of symplectic fermionic vertex operator superalgebra
K07A245309H 2005.6
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Rationality of the vertex operator algebra $V_L^+$ for a rank one positive definite even lattices $L$ International conference
ABE Toshiyuki
The second East Asian Conference on Algebra and Combinatorics 2003.11
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On $c = 1$ rational vertex operator algebras
ABE Toshiyuki
2003.10
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頂点作用素代数 $V_L^+$ の有理性について
安部 利之
第20 回代数的組合せ論シンポジウム 2003.7
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格子頂点作用素代数の${\mathbb Z}_2$-オービフォールド模型の既約加群の分類
安部 利之
春季総合分科会 代数分科会 2003.3
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共形ブロックの有限次元性について
安部 利之
秋季総合分科会 無限可積分系セッション 2001.10
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頂点作用素代数 $V_L^+$ の有理性について
安部 利之
代数群と量子群の表現論 2001.6
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On rationality of the vertex operator algebra $V_L^+$ International conference
Lie Algebra Workshop 2001.6
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On $C_2$-cofiniteness of vertex operator algebras International conference
ABE Toshiyuki
Algebras, Groups and Geometries 2009 in Tambara 2009.8
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可換頂点代数のオービフォルド模型の $C_2$-有限性について
安部 利之
第 21 回草津セミナー 2009.8
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On $C_2$-cofiniteness of ${\mathbb Z}_2$-orbifold models of vertex operator algebras
安部 利之
有限群・頂点作用素代数と組合せ論 2009.1
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On representation theory for the symplectic-fermionic vertex operator superalgebra International conference
ABE Toshiyuki
Algebras, Groups and Geometries 2008 2008.12
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Frenkel-Zhu 両側加群の一般化
安部 利之
第 24 回代数的組み合わせ論研究集会 2007.6
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頂点作用素代数のモジュラー不変性について
安部 利之
香川セミナー 2007.2
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Symplectic-fermionic 頂点作用素超代数の${\mathbb Z}2$-オービフォールド模型のコホモロジー加群
安部 利之
群論とその周辺 2006.12
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On the representation theory for a ${\mathbb Z}_2$-orbifold model of the symplectic fermionic vertex operator superalgebra
安部 利之
頂点作用素代数の有理性に関する研究会 2006.12
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$c =-2$ triplet 代数に付随するホモロジー加群について
安部 利之
第18回有限群論草津セミナー 2006.8
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A construction of a $C_2$-cofinite, irrational vertex operator algebra International conference
ABE Toshiyuki
Infinite Dimensional Lie Algebra and Its Applications 2005.12
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A ${\mathbb Z}_2$-orbifold model of the symplectic-fermionic vertex operator superalgebra
ABE Toshiyuki
Vertex algebras in Nara 2005.11
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A commutant in a cyclic permutation orbifold model of the lattice vertex operator algebra $V_{A_1}^{\otimes 4}$ of order $4$
ABE Toshiyuki
K07A245309H 2014.3
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On $S_3$-permutation orbifold models of lattice VOA of rank one International conference
ABE Toshiyuki
Taitung Workshop 2013.3
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Representation of permutation orbifold models International conference
ABE Toshiyuki
Conference on Groups, VOAs and Related Structures 2012.9
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On $C_2$-cofiniteness of permutation orbifold models International conference
ABE Toshiyuki
Conference On Vertex Operator Algebras and Related Topics 2012.8
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Fusion products for the symplectic-fermionic vertex operator superalgebra
ABE Toshiyuki
2012.6
-
Fusion rules for the symplectic fermionic vertex operator superalgebra International conference
ABE Toshiyuki
Conference on Vertex Operator Algebras, Finite groups and Related topics, 2011.12
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頂点作用素代数におけるZhu の有限性条件の現在
安部 利之
第56 回代数学シンポジウム 2011.8
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置換オービフォールド模型の$C_2$-有限性について
安部 利之
第２３回草津セミナー 2011.7
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On $C_2$-cofi niteness of ${\mathbb Z}_2$-permutation orbifold models
安部 利之
頂点作用素代数, 群論, 組み合わせ論の研究 2010.12
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On $C_2$-cofi niteness of $2$-cycle permutation orbifold models of the Virasoro VOAs
安部 利之
日本数学会秋季総合分科会 2010.9
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可換頂点代数の ${\mathbb Z}_N$-オービフォールド模型の $C_2$-有限性について
安部 利之
日本数学会秋期総合分科会 2009.9
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Classification of irreducible modules of ${\mathbb Z}_2\times {\mathbb Z}_2$-orbifold model of lattice vertex operator algebras International conference
ABE Toshiyuki
Vertex Operator Algebras and Related Topics 2015.9
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パズルと数学 Invited
安部 利之
夏期研修会 2015.7 東温市算数、数学科委員会
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頂点作用素代数の量子次元
安部 利之
愛媛大学談話会 2015.6
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パズルを数学でみたら Invited
安部 利之
平成２７年度 第１回 算数･数学同好会 2015.5 今治･越智 算数･数学同好会
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頂点作用素代数 $Com_{(L_{\widehat{sl}_2}(1,0)^{\otimes 4})^\tau}(L_{\widehat{sl}_2}(4,0))$ の既約加群の分類について
安部 利之
有限群とその表現, 頂点作用素代数, 代数的組合せ論の研究 2014.12
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$A_1$ 型アフィン頂点作用素代数の $4$ 次巡回置換オービフォールド模型における, あるコミュタントの構造
安部 利之
日本数学会秋期総合分科会 2014.9
-
$C_2$-cofiniteness and rationality of vertex operator algebras International conference
ABE Toshiyuki
Algebras, Groups and Geometries 2014.6
-
頂点作用素代数 $V_L^+$ の有理性について
安部 利之
日本数学会秋期総合分科会 2001.3
-
頂点作用素代数 $V_L^+$ の有理性について
安部 利之
符号・格子・頂点作用素代数と有限群 2001.2
-
トレース関数のモジュラー不変性
安部 利之
可積分系研究の現状と展望 2001.2
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頂点作用素代数の表現論入門
安部 利之
頂点作用素代数の表現論とその周辺 2000.10
-
Fusion rules for the vertex operator algebra $V_L^+$ for a rank one even lattice L
ABE Toshiyuki
2000.6
-
Fusion rules for free bosonic vertex operator algebras
ABE Toshiyuki
1999.9
Research Projects
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Toward solutions of vary conjectures in group theory and the theory of vertex operator algebra
2019.4 - 2021.3
Mext
Abe, Toshiyuki
Authorship：Principal investigator Grant type：Competitive
-
Study on induced representations of vertex operator algebras
2015.4 - 2019.3
mext
ABE Toshiyuki
Authorship：Principal investigator Grant type：Competitive
-
Various aspects of sporadic simple groups
2012.4 - 2018.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
KITAZUME MASAAKI, SAWABE Masato, MUNEMASA Akihiro, CHIGIRA Naoki, HARADA Masaaki, ABE Toshiyuki, SHIMAKURA Hiroki, NAKASORA Hiroyuki, HORIGUCHI Naoyuki, IRIE Yuuki, KOBAYASHI Yusuke
Grant amount：\13780000 （ Direct Cost: \10600000 、 Indirect Cost：\3180000 ）
We have studied the Rudvalis simple group and related algebraic structures (code, lattice) and combinatorial structure (graph, design). Consequently we show the existence of even self-dual code preserved by the Rudvalis group, and give a combinatorial description of some generator. We further define five 2-designs by using a unitary group, and give a new construction of the Rudvalis graph from these 2-designs. We also consider Conway's theorem, which show the relation between the Rudvalis graph and the Hoffman-Singleton graph.
Moreover we have completed the classification of extremal doubly even self-dual codes with 2-transitive automorphism groups by showing non-existence of the remaining case. -
Study on finiteness properties of orbifold models of vertex operator algebras
2011.4 - 2015.3
mext
ABE Toshiyuki
Authorship：Principal investigator Grant type：Competitive
-
Study on finiteness properties of vertex operator algebras
2008.4 - 2011.3
mext Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
ABE Toshiyuki
Authorship：Principal investigator Grant type：Competitive
I have been working on a finiteness property called a C_2-cofiniteness property, for a vertex operator algebras. A fixed point subalgebra of a vertex operator algebra by its finite automorphism group is called an orbifold model. In the representation theory of vertex operator algebra there is a conjecture that if a vertex operator algebra has the C_2-cofiniteness property then so does any orbifold model of it. I have found necessary and sufficient conditions which make the conjecture true for commutative vertex algebras and Z_2-permutation orbifold models of vertex operator algebras. I also showed that Z_2-permutation orbifold models of the Virasoro vertex operator algebras having C_2-cofinittness property satisfy the C_2-cofiniteness condition.
-
Study on algebraic or combinatorial structures whose automorphism groups contain finite simple groups
2007 - 2010
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
KITAZUME Masaaki, NOZAWA Sohei, KOSHITANI Shigeo, SAWABE Masato, SUGIYAMA KenーIchi, ANDO Tetsuya, YAMADA Hiromichi, MUNEMASA Akihiro, HARADA Masaaki, CHIGIRA Naoki, ABE Thoshiyuki
Grant amount：\10400000 （ Direct Cost: \8000000 、 Indirect Cost：\2400000 ）
We have studied some algebraic structures and combinatorial structured whose automorphism groups contain finite simple groups.
(1) We have studied the binary code spanned by the sets of fixed points of the involutions of a finite transitive permutation group and its dual code. New self-dual codes invariant under the Hall-Janko group and the Rudvalis group have been constructed, respectively.
(2) We have studied rank 3 graphs related to some sporadic simple groups (especially, HJ, Suz, M24). New constructions of these rank 3 graphs from some designs have been obtained.
(3) We have determined the minimum value m such that a given Niemeier lattice is a m-neighbor of the Leech lattice. -
New developments in representation theories of vertex operator algebras and their applications
2007 - 2008
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
MATSUO Atsushi
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
-
Study on vertex operator algebras and its representation theory
2005.4 - 2008.3
mext
ABE Toshiyuki
Authorship：Principal investigator Grant type：Competitive
-
Expansion and application of representation theory of vertex operator algebras by means of the universal enveloping algebras.
2005 - 2006
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
MATSUO Atsushi, NAGATOMO Kiyokazu, ABE Toshiyuki
Grant amount：\2300000 （ Direct Cost: \2300000 ）
We introduced a concept which axiomatizes properties satisfied by the universal enveloping algebras of vertex operator algebras and formulated a certain finiteness condition for such a system. We then proved that the category of modules of certain type over such a system is equivalent to the category of modules over a finite-dimensional algebra under such a finiteness condition. In case the system is obtained as the universal enveloping algebra of a vertex operator algebra satisfying Zhu's finiteness condition, our result implies that the category of modules over such a vertex operator algebra is equivalent to the category of modules over a finite-dimensional algebra.
We then considered the current Lie algebra associated with a vertex operator algebra and obtained a new interpretation of the fact that the flat connection used to construct the current Lie algebra and the definition of the Lie bracket is invariant under the change of coordinates. We then considered the sheaf of covacua associated with a series of modules attached to a family of punctured stable curves by using the method of Tsuchiya-Ueno-Yamada and established that some expected properties are satisfied, such as the coherency of the sheaf of covacua.
We also considered a general formulation of Zhu's algebra, modules which induces the Verma type module from the n-th analogue of Zhu's algebra and a method of constructing examples of nonrational vertex operator algebras.
The main results are based on joint research with Akihiro Tsuchiya, and Kiyokazu Nagatomo. The results are partially inspired by discussion with Toshiyuki Abe, Tomoyuki Arakara, Markus Rosellen, C.Y.Dong and John Duncan.
Other
-
教育学部第４回意見交換会（系ごと）
2022.1
-
教育学部第３回意見交換会
2021.12
-
ハラスメントに関する講習会
2021.10
-
教育学部第２回意見交換会
2021.9
-
教育学部第１回意見交換会
2021.5
-
令和3年度 第１回合同研修会 教育学部合同研修会
2021.4
-
Workshop VOA and related topics
2017.3
-
Conference on Groups, VOAs and Related Structures in Honor of Masahiko Miyamoto
2012.9
Teaching Experience (On-campus)
Social Activities
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第56回中国・四国算数数学教育研究（丸亀）大会 指導助言
Role(s)： Advisor
香川県数学教育連合会 中国･四国地区数学教育会 第56回中国・四国算数数学教育研究（丸亀）大会 2023.11
-
松山市教職員レベルアップセミナー 講師
Role(s)： Lecturer
松山市教育委員会 2023.8
-
えひめサイエンスリーダースキルアッププログラム講師
Role(s)： Lecturer, Advisor
愛媛県教育委員会、愛媛大学、愛媛県高等学校教育研究会数学部会・理科部会 えひめサイエンスリーダースキルアッププログラム 2023.7
-
松山市教職員レベルアップセミナー 講師
Role(s)： Lecturer
松山市教育委員会 2022.8
-
えひめサイエンスリーダースキルアッププログラム講師
Role(s)： Lecturer, Advisor
愛媛県教育委員会、愛媛大学、愛媛県高等学校教育研究会数学部会・理科部会 えひめサイエンスリーダースキルアッププログラム 2022.7
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愛媛県高等学校教育研究大会講師
Role(s)： Lecturer
愛媛県教育委員会、愛媛県高等学校教育研究会数学部会 愛媛県高等学校教育研究会数学部会 2021.12
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext 2021.12
-
第54回中国・四国算数数学教育研究（松山）大会 指導助言
Role(s)： Advisor
愛媛県算数・数学教育連絡協議会 / 中国・四国地区数学教育会 第54回中国・四国算数数学教育研究（松山）大会 2021.11
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えひめサイエンスリーダースキルアッププログラム講師
Role(s)： Lecturer
愛媛県教育委員会、愛媛大学、愛媛県高等学校教育研究会数学部会・理科部会 えひめサイエンスリーダースキルアッププログラム 2021.7
-
愛媛県高等学校教育研究大会講師
Role(s)： Lecturer
2020.12
-
松山市教職員レベルアップセミナー 講師
Role(s)： Lecturer
松山市教育委員会 2020.8
-
えひめサイエンススキルアッププログラム講師
Role(s)： Lecturer
愛媛県教育委員会、愛媛大学、愛媛県高等学校教育研究会数学部会・理科部会 2020.7
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext certificate renewal couse 2020.7
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext certificate renewal couse 2019.8
-
香川県高校生科学研究発表会審査員
香川県教育委員会 川県高校生科学研究発表会審査員 2019.7
-
えひめサイエンススキルアッププログラム講師
Role(s)： Lecturer
愛媛県教育委員会、愛媛大学、愛媛県高等学校教育研究会数学部会・理科部会 えひめサイエンススキルアッププログラム 2019.6
-
香川県高校生科学研究発表会審査員
香川県教育委員会 香川県高校生科学研究発表会 2018.7
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext certificate renewal couse 2018.7
-
えひめサイエンススキルアッププログラム講師
Role(s)： Lecturer
愛媛県教育委員会、愛媛大学、愛媛県高等学校教育研究会数学部会・理科部会 えひめサイエンススキルアッププログラム 2018.6
-
香川県高校生科学研究発表会審査員
香川県教育委員会 香川県高校生科学研究発表会 2017.7
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext certificate renewal couse 2017.7
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2017.6
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext certificate renewal couse 2016.8
-
香川県高校生科学研究発表会審査員
香川県教育委員会 香川県高校生科学研究発表会 2016.7
-
数学講演
Role(s)： Lecturer
東温市算数・数学研究会 夏期研修会 2015.7
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext certificate renewal couse 2015.7
-
今治・越智数学研究会講師
Role(s)： Lecturer
今治・越智数学研究会 今治・越智数学研究会 2015.5
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2014.1
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2013.8
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2013.7
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2012.12
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2012.10
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2011.11
-
Lecturer of certificate renewal couse for teacher
Role(s)： Lecturer
mext certificate renewal couse 2010.8
-
Lecturer for high school students
Role(s)： Lecturer
Ehime university 2010.7