Katsutoshi Amano

Profile Information

Affiliation: Technical Staff, Center for Medical Education and Training, University of Tsukuba Hospital

Degree: Doctor(Science)(University of Tsukuba)
修士(理学)(筑波大学)

J-GLOBAL ID: 200901062093817765
researchmap Member ID: 1000370321

External link: https://amanokatsutoshi.github.io/public_html/index-eng.html

Differential-difference Galois theory using Hopf
algebras.

Research Interests

Research Areas

Education

2004 - 2005

Mathematics, Graduate School of Pure and Applied Sciences, University of Tsukuba
1999 - 2004

Doctoral Program in Mathematics, University of Tsukuba
1994 - 1999

Collage of Natural Sciences, majored in Mathematics, First Cluster of College, University of Tsukuba

Research History

Oct, 2020 - Present

Technical Staff, Center for Medical Education and Training, University of Tsukuba Hospital
Apr, 2018 - Mar, 2020

Assistant Professor, Department of Clinical Medicine, Faculty of Medicine, University of Tsukuba
2015 - Mar, 2019

Part-time lecturer, Faculty of Science, Josai University
Apr, 2016 - Mar, 2018

Technical assistant, Academic Computing and Communications Center, University of Tsukuba
2015 - Mar, 2018

Part-time lecturer, Faculty of Engineering, Information and Systems, University of Tsukuba
2011 - 2014

Assistant Professor, Institute of Mathematics, University of Tsukuba
2008 - 2011

Assistant Professor, Institute of Mathematics, University of Tsukuba
2007 - 2008

Part-time lecturer, Chiba Institute of Technology
2006 - 2008

Part-time lecturer, Nippon Institute of Technology
2005 - 2006

Researcher, Graduate School of Pure and Applied Sciences, University of Tsukuba

Papers

E-learning of Medical Equipment Training

AMANO Katsutoshi, YAMAMOTO Sumii

54-55, Dec, 2018
看護師特定行為研修における e-learning 環境の自己評価 ― 筑波大学付属病院の場合 ―

讃岐勝, 天野勝利, 石塚孝子

第 43 回教育システム情報学会全国大会予稿集, 365-366, Sep, 2018
Hopf Algebraic Approach to Picard-Vessiot Theory

Katsutoshi Amano, Akira Masuoka, Mitsuhiro Takeuchi

Handbook of Algebra, 6 127-171, 2009 Peer-reviewedInvited
Liouville extensions of Artinian simple module algebras

K Amano

COMMUNICATIONS IN ALGEBRA, 34(5) 1811-1823, 2006 Peer-reviewed
Picard-Vessiot extensions of artinian simple module algebras

K Amano, A Masuoka

JOURNAL OF ALGEBRA, 285(2) 743-767, Mar, 2005 Peer-reviewed
Construction of irreducible relative invariant of the prehomogeneous vector space (SL5 x GL(4), Lambda(2)(C-5) circle times C-4)

K Amano, M Fujigami, T Kogiso

LINEAR ALGEBRA AND ITS APPLICATIONS, 355 215-222, Nov, 2002 Peer-reviewed
Construction of Irreducible Relative Invariant of the Prehomogeneous Vector Space $(SL_{5}\times GL_{4},\Lambda^{2}(\mathbb{C}^{5})\otimes\mathbb{C}^{4})$

Katsutoshi Amano, Masaki Fujigami, Takeyoshi Kogiso

Linear Algebra and Its Applications, (355) 215-222, Oct, 2002 Peer-reviewed
Multivariablization of Igusa's results (in the case where local zeta functions can be written as product of gamma-functions)

Katsutoshi Amano

Sūrikaisekikenkyūsho Kōkyūroku, Kyoto University, (1238) 1-11, Nov, 2001
236

Explicit forms of multivariable local functional equations by $b$-functions (in Japanese)

Katsutoshi Amano

2001

Misc.

131

•On a discrepancy among Picard-Vessiot theories in positive characteristics

Katsutoshi Amano

arXiv:math.AC/0612683, Dec, 2006
110

•Relative invariants, difference equations, and the Picard-Vessiot theory

Katsutoshi Amano

arXiv:math.AC/0503291, Mar, 2005
CONSTRUCTION OF IRREDUCIBLE RELATIVE INVARIANT OF THE PREHOMOGENEOUS VECTOR SPACE $(SL_5\times GL_4,\Lambda^2(\mathbb{C}^5)\otimes \mathbb{C}^4)$ (Theory of Prehomogeneous Vector Spaces)

Amano Katsutoshi, Fujigami Masaki, Kogiso Takeyoshi

RIMS Kokyuroku, 1238 12-19, Nov, 2001

Presentations

動画配信システムを中心に考えた複数システムの連携とそのシステム間の比較

讃岐勝, 柳川信, 長谷靖之, 天野勝利

第14回医療系 e ラーニング全国交流会, Dec 22, 2019
E-learning of Medical Equipment Training

AMANO Katsutoshi, YAMAMOTO Sumii

Dec 8, 2018
看護師特定行為研修における e-learning 環境の自己評価 ― 筑波大学付属病院の場合 ―

讃岐勝, 天野勝利, 石塚孝子

第 43 回教育システム情報学会全国大会, Sep 6, 2018
G-primitive extensions of Artinian simple D-module algebras

AMANO Katsutoshi

Tsukuba Mini-Conference on Hopf Algebras and Differential Galois Theory, Sep 15, 2015
"Hopf Algebras and Affine Group Schemes", "Hopf Algebraic Approach to Picard-Vessiot Theory" (short lectures)

Differential Galois Theory Seminar in Tsukuba, Dec 12, 2012
Picard-Vessiot theory for Artinian simple D-module algebras

Hopf Algebras and Quantum Groups (at University of Tsukuba), Oct, 2010
Liouville extensions in the Picard-Vessiot theory for Artinian simple D-module algebras

GTEM (Galois Theory and Explicit Methods) Final conference, Sep, 2010 Invited
Picard-Vessiot theory for Artinian simple D-module algebras

ESF Mathematics Conference "Algebraic Methods in Dynamical Systems", May, 2010 Invited
Generation system of semantic analyzers including type inference function

Takahiro Sato, Hisashi Nakai, Katsutoshi Amano, Satoshi Sato

71st National Convention of IPSJ, Mar, 2009
Liouville extensions in Picard-Vessiot theory of D-module algebras

2nd Tsukuba Workshop on Algebra, Jan, 2009
Picard-Vessiot theory of D-module algebras

Colloquium at Institute of Mathematics, University of Tsukuba, Dec, 2008
Unification and generalization of differential and difference Picard-Vessiot theories by Hopf algebras

Tsukuba Workshop on Algebra, Jan, 2008
Hopf algebras in differential and difference Galois theories

天野勝利, 増岡彰

2nd Joint Meeting of AMS, DMV, ÖMG, Jun, 2005
Hopf algebras in differential and difference Galois theories

Katsutoshi Amano, Akira Masuoka

2nd Joint Meeting of AMS, DMV, ÖMG, Jun, 2005
線形微分・差分方程式と affine group scheme

第8回代数群と量子群の表現論研究集会, May, 2005
Linear differential and difference equations and affine group schemes

"Representation theory of algebraic and quantum groups" 8th Workshop (May 27-29, 2005, Shizuoka, Japan), May, 2005
Hopf algebraic unification of differential and difference Galois theories

日本数学会2004年度年会代数学分科会, Mar, 2004
Hopf algebraic unification of differential and difference Galois theories

2004 Annual Meeting of MSJ, Mar, 2004
井草氏の結果の多変数化 (局所ゼータ関数がガンマ関数の積で書ける場合について)

短期共同研究「概均質ベクトル空間の研究」(京都大学数理解析研究所), Dec, 2000
Multivariablization of Igusa's results (on the case where local zeta functions can be written as the product of gamma-functions)

Theory of prehomogeneous vector spaces (Dec. 4-8, 2000, RIMS, Kyoto Univ., Japan), Dec, 2000

Professional Memberships

Research Projects

Unifying differential and difference Picard Vessiot theories by using Hopfalgebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2007

MASUOKA Akira, AMANO Katsutoshi, SHIOYA Masahiro, MITSUHIRO Takeuchi, TSUBOI Akito, MORITA Jun
Generalization of Hopf-quotient theory and applications to subfactors and others

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2004 - 2005

MASUOKA Akira, TAKEUCHI Mitsuhiro, MORITA Jun, FUJITA Hisaaki, TANABE Kenichiro, AMANO Katsutoshi

Profile Information

Research Interests

Research Areas

Education

Research History

Papers

Misc.

Presentations

Professional Memberships

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