■ 氏名
山口 俊博 (ヤマグチ トシヒロ)
YAMAGUCHI Toshihiro

■ 所属部局/職名
Research and Education Faculty, Natural Sciences Cluster, Sciences Unit/Professor
教育研究部 自然科学系 理学部門/教授

■ 学部・学科・コース等
Faculty of Education, Teacher Training Division (Mathematics Education Course)
教育学部 学校教育教員養成課程(数学教育コース)

■ 連絡先
住 所
電 話088-844-8383
F A X
E-Mailtyamag●kochi-u.ac.jp    (送信の際は“●”を半角の“@”に変更して送信してください。)
U R Lhttp://www.cc.kochi-u.ac.jp/~tyamag

■ 出身大学院・研究科等
岡山大学 博士(自然科学研究科 ) 1999 (修了)

■ 出身学校・専攻等

■ 取得学位
理学博士(1999.3) () 岡山大学

■ 研究職歴

■ 委員歴・役員歴

■ 受賞学術賞

■ 所属学会

■ 専門分野
代数的位相幾何学(代数的トポロジー、ホモトピー論)

■ 主な研究テーマ・活動
有理ホモトピー論ならではの切り口で、問題提議したい。

■ 研究についてのPR
有理ホモトピー論は、有理数係数を使って位相不変量を考える「ゆるいトポロジー」で、有限の部分を考えない。その代わり、見通しがよく、速効性があり、幾何学の様々な分野に影響を与えている。

■ 社会人・生徒を対象として可能な講演・授業(例えば講演題目)
「トポロジーの発想」「グラフ理論入門」「やわらかい幾何学」「射影幾何入門」等
最近は、小学校の算数の授業に囲碁を取り入れられたらいいと思っている。

■ 研究業績(論文・解説)
 Rational cohomologies of classifying spaces for homogeneous spaces of small rank
 Arabian Journal of Mathematics (H.Nishinobu and T.Yamaguchi) 5/, 225-237 2016 (学術雑誌)

Fiber-homotopy self-equivalences and a classification of fibrations in rational homotopy 
 J. Homotopy Relat. Struct. (S.Yokra and T.Yamaguchi) 11/, 957-972 2016 (学術雑誌)

Certain maps preserving self-homotopy equivalences
 J.Homotopy Relat. Struct. (Jin-Ho Lee and T.Yamaguchi ) /, 2016 (学術雑誌)

Rational pairing rank of a map
 African Diaspora Journal of Mathematics (T.Yamaguchi) 19/, 1-11 2016 (学術雑誌)

A fibre-restricted Gottlieb group and its rational realization problem
 Topology and its Applications (T.Yamaguchi) 196/, 1060~1076 2015 (学術雑誌)

Sullivan minimal models of classifying spaces for non-formal spaces of small rank
 Topology and its Appl. (H.Nishinobu and T.Yamaguchi) 196/, 290-307 2015 ()

Certain examples of posets of rational Gottlieb subgroups
 Kochi J. Math. (H.Nishinobu and T.Yamaguchi) 10/, 77-94 2015 ()

The Lefschetz condition on projectivization of complex vector bundles
 Communication Math. Korea (H.Nishinobu and T.Yamaguchi) 29/, 569-579 2014 ()

Pairing rank in rational homotopy group
 African Diaspora J. of Math. (T.Yamaguchi) 17/, 85-92 2014 ()

Rational toral rank of a map
 BULLETIN MATHEMATIQUE de Roumanie () 57/, 437-445 2014 ()

C-symplectic poset structure on a simply connected space
 Topology and its Appl. (K.Hamada, T.Yamaguchi, S.Yokura) 161/, 107-126 2014 ()

Certain homotopy subgroups associated with a map
 Kochi J.Math (T.Yamaguchi) 8/, 35-45 2013 ()

Pre-c-symplectic condition for the product of odd-spheres
 J. Homotopy Relat. Struct. (J.Sato and T.Yamaguchi) 8/, 13-34 2013 ()

Examples of rational toral rank complex
  I.J.M.M.S. (T.Yamaguchi) 2012/, ID 867247 2012 (学術雑誌)

有理トーラス階数4の基点付きグラフ
 高知大学教育学部研究報告 (北村嘉久 山口) /72, 101-107 2012 (大学・研究所等紀要)

20次元以下のホモトピー階数型とコホモロジーシンプレクティック構造
 高知大学教育学部研究報告 (中村治 山口) /72, 95-99 2012 ()

Examples of a Hasse diagram of free circle actions in rational homotopy
 JP Journal of Geometry and Topology (T.Yamaguchi) 11/3, 181-191 2011 ()

A Hasse diagram for rational toral ranks
 Bull.Belg.Math.Soc. (T.Yamaguchi) 18/, 493-508 2011 ()

Lower bounds of Betti numbers of elliptic spaces with certain formal dimensions.
 Kochi Journal of Mathematics (O.Nakamura and T.Yamaguchi) 6/, 9-28 2011 (学術雑誌)

(n)-pairing with axes in rational homotopy.
  Bull. Belg.Math.  Soc. 17 (T.Yamaguchi,) /, 53-67 2010 (学術雑誌)

A rational obstruction to be a Gottlieb map.
 J. Homotopy Relat.Struct. 5 (T.Yamaguchi) /, 97-111 2010 (学術雑誌)

「多角形の閉曲面へのグラフの埋め込みII」
 高知大学教育学部研究報告 (寒葉友樹、山口) /第70号, 99-105 2010 (大学・研究所等紀要)

「多角形の閉曲面へのグラフの埋め込み」
 高知大学教育学部研究報告 (後藤真孝、寒葉友樹、小野起奈、山口 ) /第69号, 135-138 2009 (大学・研究所等紀要)

An estimate in Gottlieb ranks of fibration
 Bull. Belg. Math. Soc. 15 (T.Yamaguchi) /, 663-675 2008 (学術雑誌)

A lower bound for the rational LS-category of a coformal elliptic space.
  Math. J. Okayama Univ. 50 (T.Yamaguchi,) /, 201--203 2008 ()

「多角形の擬曲面の分類」
 高知大学教育学部研究報告 (井上朋久、宮本智之、山口 ) /第68号, 159-164 2008 (大学・研究所等紀要)

CUP_0 and CAT_0 can be arbitrary in elliptic spaces.
  New Zealand J. Math. 35, no. 2 (T,Yamaguchi) /, 211--213 2006 ()

A rational splitting of a based mapping space.
 Algebr. Geom. Topol. 6 (Kuribayashi, Katsuhiko; Yamaguchi, Toshihiro) /, 309--327 2006 ()

On a lower bound for the L-S category of a rationally elliptic space.
 Bull. Belg. Math. Soc. Simon Stevin 12, no. 4 (Yamaguchi, Toshihiro ) /, 565--568. 2005 (学術雑誌)

A lower bound for the LS category of a formal elliptic space.
 Math. J. Okayama Univ. 47 (Kotani, Yasusuke; Yamaguchi, Toshihiro ) /, 141--145 2005 ()

An example of a fiber in fibrations whose Serre spectral sequences collapse.
 Czechoslovak Math. J. 55(130) , no. 4, (Yamaguchi, Toshihiro ) /, 997--1001 2005 ()

When is the classifying space for elliptic fibrations rank one?
 Bull. Korean Math. Soc. 42, no. 3 (Yamaguchi, Toshihiro ) /, 521--525 2005 ()

Rational toral ranks in certain algebras.
 Int. J. Math. Math. Sci. no. 69-72, (Kotani, Yasusuke; Yamaguchi,Toshihiro ) /, 3765--3774 2004 ()

On the genus of free loop fibrations over $F\sb 0$-spaces.
 Int. J. Math. Math. Sci. no. 65-68 (Yamaguchi, Toshihiro) /, 3617--3619 2004 ()

Rationally elliptic spaces with isomorphic cohomology algebras.
 J. Pure Appl. Algebra 187 no. 1-3, (Nishimoto, Tetsu; Shiga, Hiroo; Yamaguchi,) /, 241--254 2004 ()

The set of rational homotopy types with given cohomology algebra.
 Homology Homotopy Appl. 5 (2003), no. 1 (Shiga, Hiroo; Yamaguchi, Toshihiro ) /, 423--436 ()

A comment on toral rank for a conjecture of Halperin.
 JP J. Geom. Topol. 3, no. 3 (Yamaguchi, Toshihiro) /, 221--224 2003 ()

Elliptic rational spaces whose cohomologies and homotopies are isomorphic.
 Topology 42 ,no. 6 (Nishimoto, Tetsu; Shiga, Hiroo; Yamaguchi, Toshihiro ) /, 1397--1401 ()

Principal bundle maps via rational homotopy theory.
 Publ. Res. Inst. Math. Sci. 39, no. 1 (Shiga, Hiroo; Yamaguchi, Toshihiro ) /, 49--57 2003 ()

The cohomology of classifying space of fibrations with elliptic fiber is infinite dimensional.
 Ryukyu Math. J. 14 (Yamaguchi, Toshihiro ) /, 119--121 2001 ()

Principal $S\sp 1$-bundles and forgetful maps.
 Groups of homotopy self-equivalences and related topics(Gargnano, 1999), 293--297, Contemp. Math., 274, Amer. Math. Soc., Providence, RI, 2001 (Shiga, H.; Tsukiyama, K.; Yamaguchi, T. ) /, ()

On additive $K$-theory with the Loday-Quillen ${}\sp *$-product.
 Math. Scand. 87, no. 1, 5--21. (Kuribayashi, Katsuhiko; Yamaguchi, Toshihiro ) /, 2000 ()

Formality of the function space of free maps into an elliptic space.
 Bull. Soc. Math. France 128 (2000), no. 2 (Yamaguchi, Toshihiro ) /, 207--218 ()

Examples of elliptic models which are oddly generated and don
 Ryukyu Math. J. 12 () /, 87--92 ()

The vanishing problem of the string class with degree $3$.
 J. Austral. Math. Soc. Ser. A 65, no.1 (Kuribayashi, Katsuhiko; Yamaguchi, Toshihiro) /, 129--142. 1998 ()

On characterizations of rational homotopy types with some rational cyclic cohomologies.
 Stable and unstable homotopy (Toronto, ON, 1996), 299--312, Fields Inst. Commun., 19, Amer. Math. Soc., Providence, RI, 1998. (Yamaguchi, Toshihiro ) /, ()

The cohomology algebra of certain free loop spaces.
 Fund. Math. 154 (1997), no. 1 (Kuribayashi, Katsuhiko; Yamaguchi, Toshihiro ) /, 57--73 ()

■ 研究業績(著書)

■ 研究業績(口頭・ポスター)

■ 研究業績(特許)

■ 研究業績(その他の活動)


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