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HOTTA Ryoushi
堀田 良之
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Alternative Names
掘田 良之 ホッタ リョウシ
HOTTA Ryoshi 堀田 良之
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Researcher Number
70028190
Other IDs
External Links
Affiliation (based on the past Project Information)
*help
1997 – 2001: 岡山理科大学, 理学部, 教授
1995: 東北大学, 大学院・理学研究科, 教授
1986 – 1994: Faculty of Sciences, To"hoku University Professor, 理学部, 教授
1986: 東北大, 理学部, 教授
Review Section/Research Field
Principal Investigator
代数学・幾何学
/
Algebra
Except Principal Investigator
代数学・幾何学
/
Algebra
/
解析学
/
General mathematics (including Probability theory/Statistical mathematics)
/
Geometry
Keywords
Principal Investigator
超幾何型微分方程式 / 指標D加群 / 代数群 / 指標 / ホロノミー系 / トーリック多様体 / 量子群 / 共形場 / スプリンガー表現 / 青木・Galfand方程式
…
More
/ ト-リック多様体 / カスプ特異点 / 対称領域 / 局所化定理 / 指標公式 / 可解格子模型 / ホロノミ-系 / 捩れ同変 / フ-リエ変換 / 超幾何型微分方程式系 / 青本・Gelfand方程式系 / 確定特異点型 / 交叉ホモロジー / カノニカル基底 / Yang-Baxter方程式 / 同変ホロノミー系 / 確定特異点 / 代数群の表現 / トーラス作用 / 同変K理論 / 箙多様体 / 環 / 超幾何系 / 組み合せ表現論 / 同変D加群 / A超幾何系 / 凸多面体 / 偏屈層 / 群指標 / 半単純代数群 / 原始イデアル / ホツジ加群 / ヘツケ環 / 旗多様体 / 不変式論 / 双対性 / ベクトル束のモジュライ / 数論 / 表現論 / ゼータ関数 / 場の理論 / 指標層 / b関数 / 9アナログ / capelli恒等式 / D加群 / ベクトル束 / Invariant Theory / Duality / Quantum Groups / Algebraic Groups / Moduli of Vector Bundles / Hypergeometric Differential Equations / Conformal Fields / Number Theory / 簡約代数群 / 規約指標 / ホロノミーD群 / セル表現 / モノドロミー / 巾単表現
…
More
Except Principal Investigator
有理点 / トーリック多様体 / 代数多様体 / 代数曲面 / 特異点 / 整数論 / 表現論 / 対称空間 / 保型形式 / 多様体 / ゼータ関数 / D加群 / ホッジ理論 / 代数幾何 / 数論的幾何学 / 対称領域 / 代数幾何学 / 半群論 / 量子群 / 調和写像 / スペクトル幾何 / アインシュタイン計量 / toric variety / ベクトル束 / 擬似乱数 / 確率数値解析 / random walk / 統計的検定 / 既約性定理 / 一般型曲面 / 常微分方程式 / 関数微分方程式 / ハミルトン系 / 偏微分方程式 / 変分法 / 超幾何型微分方程式系 / 漸近安定性 / フ-リェ解析 / 超楕円曲面 / ト-リック多様体 / 超幾何微分方程式 / YangーBaxter方程式 / Einstein計量 / 曲面 / 共形 / 超幾何系 / 不定方程式 / 線織面 / モーメント写像 / 重複度公式 / テンソル積 / 既約分解 / p進解析 / 対数スキーム / 楕円曲面 / 数論的多様体 / 光点特異点 / 錐体 / 保型関数 / トーラス埋め込み / 多変数フーリエ解析 / 最大函数 / 補間思理 / 指標 / 原始イデアル / C^*-環 / 既約表現 / 函数微分方程式 / 相空間 / 安定性 / チューブ領域 / リー群 / 代数学 / 数理科学 / 群論 / 環論 / 組合せ論 / ALGEBRA / MATHEMATICAL SCIENCE / NUMBER THEORY / GROUP THEORY / RING THEORY / ALGEBRAIC GEOMETRY / ARITHMETIC GEOMETRY / SEMI-GROUP THEORY / カッツ・ムーディーリー環 / アソシエーション・スキーム / 有限群 / ユニタリ鏡映群 / 超幾何関数 / 相関関数 / 鏡映群 / モジュラー形式 / コード理論 / アソシエーションスキーム / フュージョン代数 / スピン・モデル / ホップ代数 / 最高ウェイト加群 / アフィン・リー代数 / 統計力学 / 量子代数 / アダマール行列 / 結び目 / 有限単純群 / グラフ / Kac-Moody Lie Algebra / Quantum Group / Association Scheme / Finite Group / Unitary Refrection Group / p進解析多様体 / 同変ホロノミー系 / 電磁場 / アインシュタイン・エルミート計量 / モーデル・ヴェイユ群 / 一般ヤコビ多様体 / ヤン・バックスター方程式 / rational point / p-adic analytic space / equivariant holonomic system / quantum group / harmonic map / electro-magnetic field / Einstein-Hermitian metric / 大域解析学 / 固有値問題 / 量子エルゴード性 / 作用素環 / 幾何解析 / スペクトル幾何学 / エルゴード理論 / Global Analysis / Eigonvalue Problem / Quantum Ergodiuty / Oyerator Algebras / 交差コホモロジー / 基本群 / ラプラシアン / 離散スペクトル / 反応拡散方程式 / ケーラー多様体 / 共形平坦多様体 / 拡散反応方程式 / アインシュタイ・エルミート計量 / シュレーディンガー作用素 / ミンコフスキー和 / アーベル多様体 / リーマン多様体 / 複素数多様体 / 微分作用素 / 非線型微分方程式 / トーリック幾何 / アーベル曲面 / スペクトル / 反応拡散方程式系 / 非アルキメデス的多様体 / 代数的対称空間 / テイト予想 / エルゴード性 / p進多様体 / intersection cohomology / fundamental group / Laplacian / discrete spectrum / reaction-diffusion equation / Kaehler manifold / conformally flat manifold / 有限代数 / pseudorandom numbers / stochastic numerical analysis / finite algebra / statistical tests / Hybrid法 / Monte Carlo法 / 確率モデル / Hybrid pseudorandom number generation / Monta Carlo Methods / Stochastic numerical analysis / Stochastic moswling / Atatistical tests / ハーディ空間 / 調和函数 / 劣調和函数 / 発展方程式 / 半単純代数群 / クライン群 / 作用変還 / 補間定理 / Harmonic function / subharmonic function / Hardy space / Operator algebra / Evolution equation / Semi-simple group / D-module / 数理的代数幾何 / 可換理論 / ディンキン数学 / 複素微分幾何 / 双有理幾何学 / 多様体の大域的研究 / 可換環 / アインシュタイン・ケーラー多様体 / 2次元可解模型 / 半群 / 組紐群 / 数論的代数幾何 / パンルベ方程式 / 超平面配置 / Hodge theory / Singularity / Arithmetic algebraic geometry / Commutative algebra / Semigroup / Dynkin mathematics / 代数的特異点 / 複素解析的特異点 / アフィン・リー環 / 共形場の理論 / アインシュタイン・ケーラー計量 / ゼータ函数 / L函数 / ケーラー計量 / アヤィン・リー環 / トーリック因子 / 非ケーラー多様体 / 共形的場の理論 / アフィンワイル群 / ヘッケ環 / Algebraic singularity / Complex analytic singularity / Toric variety / Zeta function / Affine Lie algebra / Conformal field theory / 複素多様体の分岐被覆 / 多変数代数関数体 / 不連続群 / D-加群 / 被覆
Less
Research Projects
(
34
results)
Co-Researchers
(
65
People)
Project Start Year (Newest)
Project Start Year (Oldest)
Hybrid pseudorandom number generations and their applications to simulations of stochastic models
Principal Investigator
TAKASHIMA Keizo
Project Period (FY)
2000 – 2001
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Okayama University of science
Pseudorandom numbers and their Application to Stochastic Numerical Analysis
Principal Investigator
TAKASHIMA Keizo
Project Period (FY)
1998 – 1999
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Okayama University of Science
組み合せ表現論と環論的超幾何関数論
Principal Investigator
Principal Investigator
堀田 良之
Project Period (FY)
1997
Research Category
Grant-in-Aid for Exploratory Research
Research Field
Algebra
Research Institution
Okayama University of Science
代数多様体の整数論的研究
Principal Investigator
森田 康夫
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
Algebra
Research Institution
Tohoku University
トーリック特異点をもつ代数多様体
Principal Investigator
石田 正典
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Algebra
Research Institution
Tohoku University
Mathematical problems on manifolds
Principal Investigator
ODA Tadao
Project Period (FY)
1995 – 1998
Research Category
Grant-in-Aid for Scientific Research (A)
Research Field
Algebra
Research Institution
Tohoku University
モーメント写像、重複度公式、およびその無限次元多様体への拡張の試み
Principal Investigator
UZAWA Tohru
Project Period (FY)
1994
Research Category
Grant-in-Aid for Scientific Research on Priority Areas
Research Institution
Tohoku University
超幾何型関数と表現論
Principal Investigator
Principal Investigator
堀田 良之
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Algebra
Research Institution
Tohoku University
Study on Geometric Analysis
Principal Investigator
SUNADA Toshikazu
Project Period (FY)
1994 – 1995
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
Geometry
Research Institution
TOHOKU UNIVERSITY
トーリック多様体と代数的サイクル
Principal Investigator
石田 正典
Project Period (FY)
1993
Research Category
Grant-in-Aid for Scientific Research on Priority Areas
Research Institution
Tohoku University
代数曲面の整数論
Principal Investigator
森田 康夫
Project Period (FY)
1993
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Algebra
Research Institution
Tohoku University
トーリック多様体と交点理論
Principal Investigator
石田 正典
Project Period (FY)
1993
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Algebra
Research Institution
Tohoku University
Co-operative Research in Representation Theory
Principal Investigator
KAWANAKA Noriaki
Project Period (FY)
1993 – 1995
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
Algebra
Research Institution
OSAKA UNIVERSITY
Problems on varieties
Principal Investigator
ODA Tadao
Project Period (FY)
1993 – 1994
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
Algebra
Research Institution
Tohoku University
代数的手法による表現論
Principal Investigator
Principal Investigator
堀田 良之
Project Period (FY)
1992
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
代数曲面上の有理点の研究
Principal Investigator
森田 康夫
Project Period (FY)
1992
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
Co-Operative Research Algebra that is a Foundation of Mathematical Science
Principal Investigator
MORITA Yasuo
Project Period (FY)
1992 – 1994
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
代数学・幾何学
Research Institution
Tohoku University
代数多様体と群作用
Principal Investigator
石田 正典
Project Period (FY)
1991
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
Study of Mathematical Sciences by Algebraic Methods
Principal Investigator
Principal Investigator
HOTTA Ryoshi
Project Period (FY)
1991 – 1992
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
代数学・幾何学
Research Institution
TOHOKU UNIVERSITY
代数的表現論の開発
Principal Investigator
Principal Investigator
堀田 良之
Project Period (FY)
1990
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
代数多様体上の有理点の研究
Principal Investigator
森田 康夫
Project Period (FY)
1990
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
D加群と表現論
Principal Investigator
Principal Investigator
堀田 良之
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
代数多様体と解析的構造
Principal Investigator
石田 正典
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
微分方程式の解の構造と漸近挙動
Principal Investigator
KATO Junji
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Tohoku University
数論的光点特異点の研究
Principal Investigator
佐武 一郎
Project Period (FY)
1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
保型関数論の代数学への応用
Principal Investigator
森田 康夫
Project Period (FY)
1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
調和解析と函数空間の研究
Principal Investigator
IGARI Satoru
Project Period (FY)
1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Tohoku University
Problems on Manifolds
Principal Investigator
ODA Tadao Professor
Project Period (FY)
1987 – 1988
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
代数学・幾何学
Research Institution
TOHOKU UNIVERSITY
表現論の代数解析的研究
Principal Investigator
Principal Investigator
堀田 良之
Project Period (FY)
1987
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Institution
Tohoku University
複素多様体の幾何学
Principal Investigator
難波 誠
Project Period (FY)
1987
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
整数論における代数幾何学的手法の研究
Principal Investigator
森田 康夫
Project Period (FY)
1987
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
群表現と多様体
Principal Investigator
Principal Investigator
堀田 良之
Project Period (FY)
1986
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Tohoku University
Mathematics on Manifolds.
Principal Investigator
ODA Tadao Professor
Project Period (FY)
1986 – 1988
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
代数学・幾何学
Research Institution
TOHOKU UNIVERSITY
Studies of Harmonic Analysis
Principal Investigator
IGARI Satoru
Project Period (FY)
1985 – 1986
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
解析学
Research Institution
TOHOKU UNIVERSITY
# of Projects (Dsc)
# of Projects (Asc)
1.
ODA Tadao
(60022555)
# of Collaborated Projects:
24 results
# of Collaborated Products:
0 results
2.
ISHIDA Masanori
(30124548)
# of Collaborated Projects:
21 results
# of Collaborated Products:
0 results
3.
MORITA Yasuo
(20011653)
# of Collaborated Projects:
20 results
# of Collaborated Products:
0 results
4.
BANDO Shigetoshi
(40165064)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
5.
SATAKE Ichiro Professor
(00133934)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
6.
NISHIKAWA Seiki
(60004488)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
7.
TANISAKI Toshiyuki
(70142916)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
8.
長谷川 浩司
(30208483)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
9.
KATO Junji
(80004290)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
10.
UZAWA Tohru
(40232813)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
11.
SUNADA Toshikazu
(20022741)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
12.
IGARI Satoru
(50004289)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
13.
KATO Kazuya
(90111450)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
14.
BANNAI Eiichi
(10011652)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
15.
MIYANISHI Masayoshi Pro
(80025311)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
16.
TAKAGI Izumi
(40154744)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
17.
SAITO K.
(60004397)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
18.
KAWANAKA Noriaki
(10028219)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
19.
MIWA Tetsuji
(10027386)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
20.
YOSHIDA Tomoyuki
(30002265)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
21.
TAKASHIMA Keizo
(00137184)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
22.
OGAWA Shigeyoshi
(80101137)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
23.
TAKENAKA Shigeo
(80022680)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
24.
齋藤 睦
(70215565)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
25.
島倉 紀夫
(60025393)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
26.
小竹 武
(30004427)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
27.
清水 勇二
(80187468)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
28.
中島 啓
(00201666)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
29.
佐藤 篤
(30241516)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
30.
伊藤 浩行
(60232469)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
31.
永田 雅宜
(00025230)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
32.
尾形 庄悦
(90177113)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
33.
小池 正夫
(20022733)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
34.
北岡 良之
(40022686)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
35.
難波 誠
(60004462)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
36.
TSUSHIMA Yukio
(80047240)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
37.
NAKAI Yoshinobu
(40022652)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
38.
TAKEUCHI Mitsuhiro
(00015950)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
39.
MUNEMASA Akihoro
(50219862)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
40.
HIKIDA Masato
(10098593)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
41.
WATANABE Hisao
(40037677)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
42.
SUTO Kiyokazu
(50196903)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
43.
SATO Shuichi
(20162430)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
44.
OKADA Masami
(00152314)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
45.
MASUDA Kyuya
(10090523)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
46.
SUMIHIRO Hideyasu Assis
(60068129)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
47.
UENO Kenji Professor
(40011655)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
48.
SHIODA Tetsuji Professo
(00011627)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
49.
今野 一宏
(10186869)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
50.
伊藤 秀一
(90159905)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
51.
黒木 玄
(10234593)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
52.
中村 哲男
(90016147)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
53.
栗林 勝彦
(40249751)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
54.
示野 信一
(60254140)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
55.
玉村 章枝
(70068914)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
56.
吉田 憲一
(60028264)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
57.
渡部 隆夫
(30201198)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
58.
清水 悟
(90178971)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
59.
上之郷 高志
(60124567)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
60.
近藤 武
(20012338)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
61.
土方 弘明
(00025298)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
62.
八牧 宏美
(60028199)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
63.
新井 仁之
(10175953)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
64.
兵頭 義史
(90189811)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
65.
MORITA Yasuo Professor
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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