SHIMOMURA Katsumi 下村克己

… Alternative Names

下村克巳シモムラカツミ

下村克己シモムラカツミ

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Researcher Number	30206247
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2015 – 2016: 高知大学, 教育研究部自然科学系理学部門, 教授 2012 – 2014: 高知大学, 教育研究部自然科学系, 教授 2011: 高知大学, 自然科学系, 教授 2010: 高知大学, 教育研究部自然科学系, 教授 2008: Kochi University, 教育研究部自然科学系, 教授 … More 2000 – 2007: Faculty of Science, KOCHI UNIVERSITY Professor, 理学部, 教授 1997 – 2001: 高知大学, 理学部, 助教授 1994 – 1996: 鳥取大学, 教育学部, 助教授 1991 – 1992: 鳥取大学, 教育学部, 助教授 1989 – 1990: 鳥取大学, 教育学部, 講師 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry Except Principal Investigator Geometry / 解析学 / Geometry / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学
Keywords	Principal Investigator Johnson-Wilson spectrum / Adams-Novikovスペクトル系列 / Bousfield局所化 / Adams-Novikov spectral sequence / Bousfield localization / Morava K理論 / Johnson-Wilsonスペクトラム / スペクトラム / spectra / finite complexes … More / spheres / 有限複体 / 球面 / ピカール群 / 安定ホモトピー圏 / 球面のホモトピー群 / ホモトピー群 / Picard group / 可逆スペクトラム / Morava K-theories / homotopy groups / Jonson-Wilsonスペクトラム / 安定ホモトピー論 / 位相幾何学 / invertible spectrum / homotopy groups of spheres / finite spectrum / stable homotopy category / 有限スペクトラム / stable homotopy groups / 安定ホモトピー群 / Morava K 理論 / Jonson-Wilson スペクトラム / Bousfield 局所化 / Adams-Novikov スペクトル系列 / Adamsスペクトル系列 / Johnson-Wilsonのスペクトラム / MoravaのK理論 / Hopkin's Picard group / Adams スペクトル系列 / Morava K-theory / Hopkinｓ’Picard group / 彩色理論 / 幾何学 / 代数学 / トポロジー / Brown-Petersonスペクトラム / アダムススペクトル系列 / 安定ホモトピー / 局所化 … More Except Principal Investigator associahedron / A_n空間 / ホモトピー群 / ホップ空間 / retraction / quasi p-regular / A_n写像 / H空間 / reduced power operation / 実射影空間 / 超準解析 / 無限小 / 超関数 / 超実数 / substitution rule / matching rule / 高位ホモトピー可換性 / permutoassociahedron / permutohedron / 高位ホトモトピー可換性 / projective space / A_n-space / タイリング空間 / 射影空間 / H写像 / homotopy group / 形式群 / モラバK理論 / 楕円コホモロジー / コホモロジー作用素 / カテゴリー / Moore space / 球面のホモトピー群 / iterated H-deviation / Steenrod operations / higher homotopy commutativity / Steenrod作用素 / アトム分解 / pコンパクト群 / ベクトル束 / 法束 / p正則性 / ラドン変換 / 分布 / 一般関数 / 超フィルタ- / 超積 / resulthedra / A_n space / shuffle polytopes / higher homotopv commutativity / topological monoid / atomic space / p-compact group / cohomology operation / Clark-Ewing space / 高位ホトモトピー / AC_n構造 / 安定分解問題 / 安定拡張性 / ホモトピー可換性 / 終結多面体 / shuffle polytope / 位相モノイド / homotopy type / K-theory / linear group / cohomology / symmetric group / simplicial set / formal group / 分類空間空間 / 表現論 / 亜群 / 自由ループ空間 / 高次元カテゴリー / ホモトピー型 / K-理論 / 線形群 / コホモロジー / 対称群 / 単体集合 / symbolic dynamics / automaton / rotational symmetry / quasi-periodicity / tiling / quasi-crystal / 格子 / spanning tree / スペクトル / シュレーディンガー作用素 / 射影法 / シュレーディンガー方程式 / projection / retract / 記号力学系 / オートマトン / 回転対称性 / 準周期 / タイリング / 準結晶 / C_n-space / H-space / 準周期的タイリング / Toda-Smith複体 / C_n空間 / Whitehead product / A_n-map / H-map / Hopf space / mod p torus theorem / 準Cp-空間 / 高位ヒモトピー可換性 / unstable higher order operation / ポップ空間 / Whitehead積 / category / Hopf algebra / cohomnmgv / モラバK-理論 / コホモロジー論 / 保型形式 / コボルディズム理論 / ホモトピー論 / 誘導指標 / 分類空間 / スティーンロッド代数 / ホップ代数 / コホモロジー群 / Bousfield's Category / Cw-Spectrum / Cw-Complex / Adams Operation / KO-Homology Equivalence / K-Localizatlon Theory / Complex K-Theory / Real K-Theory / CRT圏 / KOホモロジー理論 / 共役作用素 / ピカード群 / バウシュフィールドの圏 / ピカール群 / K局所化理論 / CWスペクトラム / CW複体 / アダムス作用素 / 複素K理論 / 実K理論 / self homotopy equivalences / homotopy groups of spheres / higher order operations / Hopf spaces / 同変ホモトピー / mod p cohomology / Moore空間 / 自己ホモトピー写像類 / 高位コホモロジー作用素 / Harper-Zabrodsky operation / p-regularity / mod 5 finite loop spaces / mod 3 finite H-spaces / A_N-maps / A_N-spaces / mod3有限ホップ空間 / 非安定高位コホモロジー作用素 / 高位ホモトピー結合性 / 自己写像 / Samelson積 / 戸田・スミスのスペクトラム / mod 3 cohomology / Harper-Zabrodsky作用素 / mod5有限loop空間 / mod3有限H空間 / 高位ホモトビー可換性 / An写像 / An空間 / Steifel多様体 / レンズ空間 / 安定拡張可能性 / 高位Toda積 / 準p正則性 / アトミック空間 / 空間の既約分解 / Fourier変換 / Poisson核 / デルタ関数 / 無限大 / ホモトピー / 標数有限 / 非有理性 / Pade type近似 / 不定方程式 / Pade近似 / G-関数 / 球関数 / 標本化定理 / formal power series / quantum / differential equation / algebraic manifold / number theory / trans cendence / G-function / hyper geometric / q-conformally flat / q-constant / q-flat / 2次超曲面 / 量子群 / q類似微分作用素 / エ-タ不変量 / セルバ-グのゼ-タ関数 / ラドン逆変換 / ロ-レンツ空間 / 擬ユ-クリッド空間 / 超凖解析 Less

Study on the Picard groups of stable homotopy categoriesPrincipal Investigator
- Principal Investigator
  
  Shimomura Katsumi
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Study on chromatic phenomena in the stable homotopy categoryPrincipal Investigator
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Study of Hopf spaces and p-compact groups
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Study on homotopy groups of localized spectraPrincipal Investigator
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Study of the higher homotopy commutative Hopf spaees and its application to the higher category
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Homotopy Theoretic Study of Higher Dimensional Categories
- Principal Investigator
  
  NISHIDA Goro
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Study on automorphic functors on the stable homotopy category through homotopy groups of finite complexesPrincipal Investigator
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Research on the higher homotopy commutativity and higher dimensional polytopes
- Principal Investigator
  
  HAMMI Yutaka
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Characterizations of the quasi-periodicity in the quasi-crystal structure
- Principal Investigator
  
  KOMATSU Kazushi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kochi University
Research on a localized stable homotopy categoryPrincipal Investigator
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
Algebraic topology and formal group law
- Principal Investigator
  
  NISHIDA Goro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Research on higher dimensional polyhedra and operads
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
Research of the Stable Homoyopy Theory from a view point of K-Theory
- Principal Investigator
  
  YOSIMURA Zen-ichi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya Institute of Technology
Research on homotopy groups of localized finite complexesPrincipal Investigator
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
Classification of the cohomology rings of finite Hopf spaces
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
Research on stable homotopy groups of finite complexesPrincipal Investigator
- Principal Investigator
  
  SHIMURA Katsumi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Hopf spaces and higher homotopy
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
G-関数の多面的研究
- Principal Investigator
  
  原瀬巍
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tottori University
関数解析の超準解析的研究
- Principal Investigator
  
  栗林幸男
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
対称空間上の調和解析とその応用の研究
- Principal Investigator
  
  熊原啓作
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
G-関数の多面的研究
- Principal Investigator
  
  原瀬巍
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tottori University
リーマン空間の2重微分形式の研究
- Principal Investigator
  
  小島政利
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tottori University
関数解析の超準解析的研究
- Principal Investigator
  
  栗林幸男
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
擬リ-マン空間上の大域解析学
- Principal Investigator
  
  熊原啓作
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University
関数解析の超凖解析的研究
- Principal Investigator
  
  栗林幸男
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tottori University

All 2017 2016 2015 2014 2013 2012 2011 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

[Journal Article] On the product α_1β_1^rγ_t in the stable homotopy groups of spheres2014
- Author(s)
  Kie Yoshizawa and Katsumi Shimomura
- Journal Title
  
  Kochi Journal of Mathematics
  
  Volume: 9 Pages: 169-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400092
[Journal Article] A beta family in the homotopy of spheres2014
- Author(s)
  Katsumi Shimomura
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 142 Issue: 8 Pages: 2921-2928
- DOI
  10.1090/s0002-9939-2014-12009-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400092
[Journal Article] On the product α_1β_1^rγ_t in the stable homotopy groups of spheres2014
- Author(s)
  Katsumi Shimomura and Kie Yoshizawa
- Journal Title
  
  Kochi Journal of Mathematics
  
  Volume: 9 Pages: 169-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] On the product α1β1^rγt in the stable homotopy groups of spheres2014
- Author(s)
  Katsumi Shimomura and Kie Yoshisawa
- Journal Title
  
  Kochi Journal of Mathematics
  
  Volume: 9 Pages: 169-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] Generalized Bousfield lattices and a generalized retract conjecture2014
- Author(s)
  Ryo Kato, Yutaro Tatehara and Katsumi Shimomura
- Journal Title
  
  Publications of Reserch Institute for Mathematical Sciences
  
  Volume: 50 Issue: 3 Pages: 497-513
- DOI
  10.4171/prims/142
- NAID
  110009851500
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400092
[Journal Article] A beta family in the homotopy of spheres2014
- Author(s)
  Katsumi Shimomura
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 142 Pages: 2921-28
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] Generalized Bousfield lattice and a generalized retract conjecture2014
- Author(s)
  Ryo Kato, Katsumi Shimomura, and Yutaro Tatehara
- Journal Title
  
  Publication of Reserch Institute for Mathematical Science
  
  Volume: 50
- NAID
  110009851500
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] A beta family in the homotopy of spheres2013
- Author(s)
  Katsumi Shimomura
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] Products of greek letter elements dug up from the third Morava stabilizer algebra2012
- Author(s)
  Ryo Kato and Katsumi Shimomura
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 12 Pages: 951-961
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime2012
- Author(s)
  Ryo Kato and Katsumi Shimomura
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 207 Pages: 139-157
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] The cohomology of S(n,n-1) relevant to the Morava stabilizer algebra at an odd prime2012
- Author(s)
  Katsumi Shimomura and Shingo Tokashiki
- Journal Title
  
  Kochi Journal of Mathematics
  
  Volume: 7 Pages: 109-118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] Products of greek letter elements dug up from the third morava stabilizer algebra2012
- Author(s)
  Ryo Kato and Katsumi Shimomura
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 12 Pages: 951-961
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] The cohomology of S(n, n-1) relevant to the Morava stabilizer algebra at an odd prime2012
- Author(s)
  Katsumi Shimomura and Shogo Tokashiki
- Journal Title
  
  Kochi Journal of Mathematics
  
  Volume: 7 Pages: 109-118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] On the chromatic Ext^0(M^1_<n-1>) on Γ(m+1) for an odd prime2011
- Author(s)
  Rie Kitahama and Katsumi Shimomura
- Journal Title
  
  Hiroshima Math. J
  
  Volume: 41 Pages: 211-222
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] On the chromatic Ext^0(M^1_{n-1}) on Γ(m+1) for an odd prime2011
- Author(s)
  Rie Kitahama and Katsumi Shimomura
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 41 Pages: 211-222
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] The modulo two homotopy groups of the L_2-localization of the Ravenel spectrum2008
- Author(s)
  市木一平、下村克己
- Journal Title
  
  Cubo Mathematical Journal 10
  
  Pages: 43-55
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] The modulo two homotopy groups of the $L_2$-localization of the Ravenel spectrum2008
- Author(s)
  I. Ichigi, K. Shimomura
- Journal Title
  
  Cubo Math. J. 10
  
  Pages: 43-55
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals2007
- Author(s)
  中井洋史、下村克己
- Journal Title
  
  Geometry & Topology Monographs 10
  
  Pages: 319-332
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On subgroups of π_*(L_2T(1)∧M(2)) at the prime two2007
- Author(s)
  市木一平、下村克己、王向軍
- Journal Title
  
  Bulletin of the Mexican Mathematical Society 13
  
  Pages: 207-230
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals2007
- Author(s)
  H. Nakai and K. Shimomura
- Journal Title
  
  Geometry & Topology Monographs 10
  
  Pages: 319-332
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals2007
- Author(s)
  H.Nakai, K.Shimomura
- Journal Title
  
  Geometry ＆ Topology Monographs 10 (出版予定)
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On subgroups of pi_*(L_2T(1)wedge M(2)) at the prime two2007
- Author(s)
  I.Ichigi, K.Shimomura, X.Wang
- Journal Title
  
  Bulletin of the Mexican Mathematical Society and Miscelanea Matematica (出版予定)
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] Picard groups of some local categories2007
- Author(s)
  Y. Kamiya and K. Shimomura
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 43
  
  Pages: 303-314
- NAID
  110006313876
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] Picard groups of some local categories2007
- Author(s)
  上谷陽介、下村克己
- Journal Title
  
  Publications of Research Institute of Mathematical Science, Kyoto University 43
  
  Pages: 303-314
- NAID
  110006313876
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] Picard groups of some local categories2007
- Author(s)
  Y.Kamiya, K.Shimomura
- Journal Title
  
  Publ. RIMS. 43・2 (出版予定)
- NAID
  110006313876
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] Homotopy groups of a generalized E(2)-local Moore spectrum at the prime three2005
- Author(s)
  K.Shimomura, I.Ichigi
- Journal Title
  
  Hiroshima Math.J. Vol.35
  
  Pages: 125-142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540126
[Journal Article] Homotopy groups of a generalized E(2)-local Moore spectrum at the prime three2005
- Author(s)
  I.Ichigi, K.Shimomura
- Journal Title
  
  Hiroshima Math. J. 35
  
  Pages: 125-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] Homotopy groups of a generalized E(2)-local Moore spectrum at the prime three2005
- Author(s)
  I.Ichigi, K.Shimomura
- Journal Title
  
  Hiroshima Math.J. 35
  
  Pages: 125-142
- Data Source
  KAKENHI-PROJECT-17540083
[Journal Article] Homotopy groups of a generalized E(2)-local Moore spectrum at the prime three2005
- Author(s)
  I.Ichigi, K.Shimomura
- Journal Title
  
  Hiroshima Math.J. 35
  
  Pages: 125-142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] Homotopy groups of a generalized E(2)-local Moore spectrum at the prime three2005
- Author(s)
  K.Shimomura, I.Ichigi
- Journal Title
  
  Hiroshima Math. J. 35・1
  
  Pages: 125-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540126
[Journal Article] Homotopy groups of a generalized E(2)-local Moore spectrum at the prime three2005
- Author(s)
  K.Shimomura, I.Ichigi
- Journal Title
  
  Hiroshima Math.J. 35・1
  
  Pages: 125-142
- Data Source
  KAKENHI-PROJECT-15540126
[Journal Article] E(2)_*-invertible spectra smashing with the Smith-Toda spectrum V(1) at the prime 32004
- Author(s)
  I.Ichigi, K.Shimomura
- Journal Title
  
  Proc.Amer.Math.Soc. 132
  
  Pages: 3111-3119
- NAID
  120001158289
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] A relation between the Picard groups of the E(n)-local homotopy category and E(n)-based Adams spectral sequence2004
- Author(s)
  Y.Kamiya, K.Shimomura
- Journal Title
  
  Contemporary Math. 346
  
  Pages: 321-333
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] E(2)*-invertible spectra smashing with the Smith-Toda spectrum V(1) at the prime 32004
- Author(s)
  Ichigi, K.Shimomura
- Journal Title
  
  Proc.Amer.Math.Soc. 132
  
  Pages: 3111-3119
- NAID
  120001158289
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] E(2)_^*-invertible spectra smashing with the Smith-Toda spectrum V(1) at the prime 32004
- Author(s)
  K.Shimomura, I.Ichigi
- Journal Title
  
  Proc.Amer.Math.Soc. Vol.132
  
  Pages: 3111-3119
- NAID
  120001158289
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540083
[Journal Article] A relation between the Picard groups of the E(n)-local homotopy category and E(n)-based Adams spectral sequence2004
- Author(s)
  I.Ichigi, K.Shimomura
- Journal Title
  
  Proc. Amer. Math. Soc. 132
  
  Pages: 3111-3119
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] A relation between the Picard groups of the E(n)-local homotopy category and E(n)-based Adams spectral sequence2004
- Author(s)
  Y.Kamiya, K.Shimomura
- Journal Title
  
  Contemp.Math. 346
  
  Pages: 321-333
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] E(2)_*-invertible spectra smashing with the Smith-Toda spectrum V(1) at the prime 32004
- Author(s)
  K.Shimomura, I.Ichigi
- Journal Title
  
  Proc.Amer.Math.Soc. 132
  
  Pages: 3111-3119
- NAID
  120001158289
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540083
[Journal Article] A relation between the Picard groups of the E(n)-local homotopy category and E(n)-based Adams spectral sequence2004
- Author(s)
  Y.Kamiya, K.Shimomura
- Journal Title
  
  Contemp. Math. 346
  
  Pages: 321-333
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] Generalized Bousfield lattices and a generalized retract conjecture
- Author(s)
  Ryo Kato, Katsumi Shimomura and Yutaro Tatehara
- Journal Title
  
  Publications of Reserch Institute for Mathematical Sciences
  
  Volume: (印刷中)
- NAID
  110009851500
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540094
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals
- Author(s)
  H.Nakai, K.Shimomura
- Journal Title
  
  Geometry and Topology Monographs (印刷中)
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals
- Author(s)
  K.Shimomura, H.Nakai
- Journal Title
  
  The Geometry & Topology Monograph (印刷中)
- Data Source
  KAKENHI-PROJECT-17540083
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals
- Author(s)
  H.Nakai, K.Shimomura
- Journal Title
  
  Contemporary Math. (印刷中)(未定)
- Data Source
  KAKENHI-PROJECT-16540073
[Presentation] compactly generated tensor triangulated categories についての一考察2017
- Author(s)
  岡島宏樹，加藤諒，下村克己
- Organizer
  福岡ホモトピー論セミナー
- Place of Presentation
  福岡大学セミナーハウス
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] 大川の定理の一般化2017
- Author(s)
  岡島宏樹，加藤諒，下村克己
- Organizer
  平成28年度日本数学会中国・四国支部例会
- Place of Presentation
  愛媛大学理学部
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] On the zeroth cohomology group of a monochromatic module2017
- Author(s)
  下村克己, 比嘉一晃
- Organizer
  平成28年度日本数学会中国・四国支部例会
- Place of Presentation
  愛媛大学理学部
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] Hovey-Palmieri-Strickland の公理的安定ホモトピー論とそのBousfield束および Hopkinsの Picard群について2016
- Author(s)
  下村克己
- Organizer
  (非)可換代数とトポロジー
- Place of Presentation
  信州大学理学部
- Year and Date
  2016-02-20
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] E(n), K(n) 局所化圏のエキゾチック可逆元の関係性について2016
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会
- Place of Presentation
  高知大学理学部
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] On Hopkins' Picard groups of L_n2015
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会2015
- Place of Presentation
  高知大学理学部
- Year and Date
  2015-12-27
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] 球面の安定ホモトピー群の β 元と γ 元の非自明な積について2014
- Author(s)
  宮沢健太郎，下村克己
- Organizer
  平成 25 年度日本数学会中国・四国支部例会
- Place of Presentation
  島根大学総合理工学部 1 号館 2 階 21 教室(島根県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 球面の安定ホモトピー群の元 α1β1rγt の非自明性について2014
- Author(s)
  吉ざわ希恵，下村克己
- Organizer
  平成 25 年度日本数学会中国・四国支部例会
- Place of Presentation
  島根大学総合理工学部 1 号館 2 階 21 教室(島根県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] E(2)_*-equivalences on exotic V(1) at the prime three2014
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会2014
- Place of Presentation
  高知大学
- Year and Date
  2014-12-26
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] Relation between E(n)- and K(n)-Picard groups2014
- Author(s)
  加藤諒, 川元祐奈, 下村克己
- Place of Presentation
  福岡大学
- Year and Date
  2014-01-12
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 球面の安定ホモトピー群のβ元とγ元の非自明な積について2014
- Author(s)
  宮沢健太郎, 下村克己
- Organizer
  平成25年度日本数学会中国・四国支部例会
- Place of Presentation
  島根大学
- Year and Date
  2014-01-26
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] On the action of Greek letter element β_1 in the stable homotopy groups of spheres2014
- Author(s)
  宮澤健太郎, 下村克己
- Organizer
  2014日本数学会秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] Bousfield 局所化された安定homotopy圏のピカール群について2014
- Author(s)
  下村克己
- Organizer
  2014年度ホモトピー論シンポジウム
- Place of Presentation
  大阪府立大学
- Year and Date
  2014-11-02
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] A surviving condition on permanent cycles in the Adams E_2-term2014
- Author(s)
  比嘉一晃, 加藤諒, 下村克己
- Organizer
  2014日本数学会秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-26400092
[Presentation] 球面の安定ホモトピー群の元 α1β1^rγ_t の非自明性について2014
- Author(s)
  吉ざわ希恵, 下村克己
- Organizer
  平成25年度日本数学会中国・四国支部例会
- Place of Presentation
  島根大学
- Year and Date
  2014-01-26
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Bousfield lattices of stable homotopy categories2013
- Author(s)
  立原有太郎, 加藤諒, 下村克己
- Organizer
  2013年度ホモトピー論シンポジウム
- Place of Presentation
  岡山大学
- Year and Date
  2013-11-02
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 特別なE(n)可逆スペクトラムの非存在性2013
- Author(s)
  加藤諒, 川元祐奈, 下村克己
- Organizer
  2013年度秋季総合分科会
- Place of Presentation
  愛媛大学城北キャンパス(愛媛県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 素数3 におけるもう1 つのE(2) 可逆スペクトラムについて2013
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会2012
- Place of Presentation
  高知大学
- Year and Date
  2013-01-27
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] β元の積について2013
- Author(s)
  加藤諒, 下村克己
- Organizer
  2013年度日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-26
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Generalized Bousfield lattices and generalized retract conjecture2013
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  2013年度日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-26
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] The 2-primary chromatic H^1M^1_<n-1>2013
- Author(s)
  柏木智希, 加藤諒, 下村克己
- Organizer
  2013年度日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-26
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Chromatic Splitting Conjecture の二つ目の生成元について2013
- Author(s)
  岡崎未希子, 下村克己
- Organizer
  平成24年度日本数学会中国・四国支部例会
- Place of Presentation
  高知大学
- Year and Date
  2013-01-27
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Constructions of beta elements of stable homotopy of spheres2013
- Author(s)
  下村克己
- Organizer
  2013年度ホモトピー論シンポジウム
- Place of Presentation
  岡山大学創立五十周年記念館 2階大会議室(岡山県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Constructions of beta elements of stable homotopy of spheres2013
- Author(s)
  下村克己
- Organizer
  2013年度ホモトピー論シンポジウム
- Place of Presentation
  岡山大学
- Year and Date
  2013-11-02
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Picard groups and exotic module spectra2013
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会2013
- Place of Presentation
  高知大学
- Year and Date
  2013-12-27
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Bousfield lattices of stable homotopy categories2013
- Author(s)
  立原有太郎, 加藤諒，下村克己
- Organizer
  2013年度ホモトピー論シンポジウム
- Place of Presentation
  岡山大学創立五十周年記念館 2階大会議室(岡山県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 特別なE(n)可逆スペクトラムの非存在性2013
- Author(s)
  加藤諒, 川元祐奈, 下村克己
- Organizer
  2013年度日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-26
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] The 2-primary chromatic H^1M^1_{n-1}2013
- Author(s)
  柏木智希, 加藤諒, 下村克己
- Organizer
  2013年度秋季総合分科会
- Place of Presentation
  愛媛大学城北キャンパス(愛媛県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Picard groups and exotic module spectra2013
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会2013
- Place of Presentation
  高知大学理学部2 号館6 階　数学会議室(高知県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] β元の積について2013
- Author(s)
  加藤諒, 下村克己
- Organizer
  2013年度秋季総合分科会
- Place of Presentation
  愛媛大学城北キャンパス(愛媛県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] p=5, n=3 のピカール群について2013
- Author(s)
  川元祐奈, 下村克己
- Organizer
  平成24年度日本数学会中国・四国支部例会
- Place of Presentation
  高知大学
- Year and Date
  2013-01-27
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Generalized Bousfield lattices and generalized retract conjecture2013
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  2013年度秋季総合分科会
- Place of Presentation
  愛媛大学城北キャンパス(愛媛県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 素数3 におけるE(2)局所的可逆スペクトラムのホモトピー群について2013
- Author(s)
  市木一平, 下村克己, 立原有太郎
- Organizer
  平成24年度日本数学会中国・四国支部例会
- Place of Presentation
  高知大学
- Year and Date
  2013-01-27
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 球面の安定ホモトピー元β1β2γ_<p+1>について2013
- Author(s)
  吉ざわ希恵, 下村克己
- Organizer
  平成24年度日本数学会中国・四国支部例会
- Place of Presentation
  高知大学
- Year and Date
  2013-01-27
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 素数3 でのある2 型環スペクトラムのピカール群を次数とするホモトピー群について2012
- Author(s)
  市木一平, 下村克己, 立原有太郎
- Organizer
  2012年度ホモトピー論シンポジウム
- Place of Presentation
  山口大学
- Year and Date
  2012-11-03
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] On the generalized retract conjecture2012
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  2012年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学（福岡県）
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Bousfield lattice におけるレトラクト予想について2012
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  平成23年度日本数学会中国・四国支部例会
- Place of Presentation
  岡山大学
- Year and Date
  2012-01-22
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] On the generalized retract conjecture2012
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  2012年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Bousfield quantale and its sublattice of idempotents2012
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  2012年度ホモトピー論シンポジウム
- Place of Presentation
  山口大学（山口県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 素数3におけるE(2)局所ホモトピー圏のピカール群2012
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会2012
- Place of Presentation
  高知大学（高知県）
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] 素数3でのある2型環スペクトラムのピカール群を次数とするホモトピー群について2012
- Author(s)
  市木一平, 下村克己, 立原有太郎
- Organizer
  2012年度ホモトピー論シンポジウム
- Place of Presentation
  山口大学（山口県)
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] L_2 のピカール群を添数とするある2 型スペクトラムのホモトピー群2012
- Author(s)
  市木一平, 下村克己, 立原有太郎
- Organizer
  2012年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学（福岡県）
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] L_2 のピカール群を添数とするある2 型スペクトラムのホモトピー群2012
- Author(s)
  市木一平, 下村克己, 立原有太郎
- Organizer
  2012年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Bousfield quantale and its sublattice of idempotents2012
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  2012年度ホモトピー論シンポジウム
- Place of Presentation
  山口大学
- Year and Date
  2012-11-03
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Bousfield latticeにおけるレトラクト予想について2012
- Author(s)
  加藤　諒、下村克己、立原有太郎
- Organizer
  日本数学会中国・四国支部例会
- Place of Presentation
  岡山大学
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Generalization of strange Bousfield classes in the stable homotopy category of spectra2011
- Author(s)
  加藤諒, 下村克己, 立原有太郎
- Organizer
  2011年度日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] On the element β_{p/p}^p in stable homotopy and its applications2011
- Author(s)
  加藤　諒、下村克己
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Invertible spectra in the E(n)-local category2011
- Author(s)
  下村克己
- Organizer
  高知ホモトピー論談話会2011
- Place of Presentation
  高知大学
- Year and Date
  2011-12-27
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] On the element β_<p/p>^p in stable homotopy and its applications2011
- Author(s)
  加藤諒, 下村克己
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] Generalization of strange Bousfield classes in the stable homotopy category of spectra2011
- Author(s)
  加藤　諒、下村克己、立原有太郎
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-23540094
[Presentation] RavenelのスペクトラムT(m)に関するExt群について2009
- Author(s)
  北濱理恵、下村克己
- Organizer
  日本数学会中国・四国支部例会
- Place of Presentation
  福岡市福岡大学セミナーハウス
- Year and Date
  2009-01-25
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] Chromatic Ext groups Ext_{Γ(m+1)}^O(BP_*, M^1_n)2009
- Author(s)
  北濱理恵, 下村克己
- Organizer
  福岡ホモトピー論セミナー
- Place of Presentation
  福岡県福岡市福岡大学セミナーハウス
- Year and Date
  2009-01-10
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] Chromatic Ext groups Ext_{Γ(m+1)}^0(BP_*,M^1_n)2009
- Author(s)
  北濱理恵、下村克己
- Organizer
  福岡ホモトピー論セミナー
- Place of Presentation
  福岡市福岡大学セミナーハウス
- Year and Date
  2009-01-10
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] Note on the homotopy groups of L_2T(m)/v_12006
- Author(s)
  下村克己、中野大輔
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  愛媛県松山市愛媛大学
- Year and Date
  2006-11-29
- Data Source
  KAKENHI-PROJECT-18540089

1. HEMMI Yutaka (70181477)

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# of Collaborated Products: 0 results
2. KOMATSU Kazushi (00253336)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. 小島政利 (90032317)

# of Collaborated Projects: 7 results

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4. 熊原啓作 (60029486)

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5. 栗林幸男 (30031909)

# of Collaborated Projects: 6 results

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6. MORISUGI Kaoru (00031807)

# of Collaborated Projects: 6 results

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7. OOKAWA Tetsusuke (60116548)

# of Collaborated Projects: 5 results

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8. TSUKIYAMA Kouzou (20093651)

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9. NAKAI Hirofumi (80343739)

# of Collaborated Projects: 3 results

# of Collaborated Products: 5 results
10. YAGITA Nobuaki (20130768)

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11. YOSIMURA Zen-ichi (70047330)

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12. MINAMI Norihiko (80166090)

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13. 赤井逸 (70032274)

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14. 若山正人 (40201149)

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15. 石川雅雄 (40243373)

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16. 原瀬巍 (90016056)

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17. 後藤和雄 (00140533)

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18. HIKIDA Mizuho (80156570)

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19. OSHIMA Hideaki (70047372)

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20. KOBAYASHI Teiichi (30033806)

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21. NISHIDA Goro (00027377)

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22. NAKAJIMA Hiraku (00201666)

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23. KONO Akira (00093237)

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24. FUKAYA Kenji (30165261)

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25. YOSHIDA Hiroyuki (40108973)

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26. 和泉澤正隆 (50108445)

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27. 橋本隆司 (90263491)

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28. KAWAMOTO Yusuke

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29. YAMAGUCHI Toshihiro (90346700)

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30. UMEHARA Jun-iti (30036537)

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31. TANABE Michimasa (20236665)

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32. NAKANO Fumihiko (10291246)

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33. SADAHIRO Taizo (00280454)

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34. 原瀬巍 (80031920)

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35. 池田徹 (00325408)

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36. 森脇淳 (70191062)

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SHIMOMURA Katsumi 下村 克己

下村 克巳 シモムラ カツミ

下村 克己 シモムラ カツミ

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Study on the Picard groups of stable homotopy categoriesPrincipal Investigator

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Study on chromatic phenomena in the stable homotopy categoryPrincipal Investigator

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Study on homotopy groups of localized spectraPrincipal Investigator

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Study on automorphic functors on the stable homotopy category through homotopy groups of finite complexesPrincipal Investigator

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Research on a localized stable homotopy categoryPrincipal Investigator

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Research on homotopy groups of localized finite complexesPrincipal Investigator

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SHIMOMURA Katsumi 下村克己

下村克巳シモムラカツミ

下村克己シモムラカツミ