Updated on 2024/11/21

Information

 

写真a

 
OCHIAI HIROYUKI
 
Organization
Institute of Mathematics for Industry Division of Fundamental mathematics Professor
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
Joint Graduate School of Mathematics for Innovation (Concurrent)
Title
Professor
Profile
Research interest is Algebraic Analysis, Representation Theory and Special Functions. I give courses on these topics as well as undergraduate linear algebra, complex variables, and differential equations for undergraduate and those for graduate students.
Homepage
External link

Research Areas

  • Natural Science / Basic analysis

Degree

  • Ph.D(Math. Sci.)

Research History

  • 九州大学 マス・フォア・インダストリ研究所 教授

    2011.4 - Present

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  • 立教大学1989.4-1998.3. 東京工業大学2001.4-2002.9. 名古屋大学2002.10-2009.3.

Research Interests・Research Keywords

  • Research theme:Representation Theory

    Keyword:Representation Theory

    Research period: 2024

  • Research theme:代数解析学

    Keyword:代数解析学

    Research period: 2024

  • Research theme:Algebraic Analysis

    Keyword:Algebraic Analysis

    Research period: 2024

  • Research theme:Representation theory of real reductive Lie groups

    Keyword:Algebraic Analysis

    Research period: 2009.10 - 2033.3

Awards

  • 平成26年度科学技術分野の文部科学大臣表彰科学技術賞(研究部門)

    2014.4   文部科学省   CG映像制作のための演出技術の数理モデルに関する研究

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    受賞題目は、「CG映像制作のための演出技術の数理モデルに関する研究」と題するもので、安生健一氏(OLMデジタル)ならびに土橋宣典氏(北海道大学)との共同受賞です。受賞対象となった研究は、CG を用いた映像制作においてアニメータなどの作成者の利便性向上のための数理モデルの構築を行ったものです。CG分野と数学分野の研究者が産業界と協働することによって実現しました。本研究では、3次元CGにおいて最も重要かつ困難な表示対象である流体とキャラクター(人間や動物など)を対象とし、映像の作り手の意図を直接的・直感的に指示するための新しい数理モデルを構築しました。

Papers

  • Exact Convergence Rates of Alternating Projections for Nontransversal Intersections Invited Reviewed International journal

    Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki,

    Japan Journal of Industrial and Applied Mathematics   41   57 - 83   2024.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Exact convergence rates of alternating projections for nontransversal intersections Invited Reviewed International journal

    Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki

    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS   2023.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s13160-023-00584-9

  • A study of a Fuchsian system of rank 8 in 3 variables and the ordinary differential equations as its restrictions, Reviewed International journal

    Akihito Ebisu, Yoshishige Haraoka, Masanobu Kaneko, Hiroyuki Ochiai, Takeshi Sasaki and Masaaki Yoshida

    Osaka Math. J.   60   151 - 204   2023.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Comments on efficient batch verification test for digital signatures based on elliptic curves Invited Reviewed International journal

    Keisuke Hakuta, Hiroyuki Ochiai, Tsuyoshi Takagi

    MATHEMATICA SLOVACA   72 ( 3 )   575 - 590   2022.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/ms-2022-0038

  • Method of the fundamental solution for the Neumann problems of the modified Helmholtz equation in disk domain Reviewed International journal

    Shin-Ichiro Ei, Hiroyuki Ochiai, and Yoshitaro Tanaka

    Journal of Computational and Applied Mathematics   402   2022.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.cam.2021.113795

    Other Link: https://www.sciencedirect.com/science/article/pii/S0377042721004179?via%3Dihub

  • Comments on efficient batch verification test for digital signatures based on elliptic curves Invited Reviewed International journal

    KEISUKE HAKUTA, HIROYUKI OCHIAI, AND TSUYOSHI TAKAGI

    Mathematica Slovaca   72 ( 3 )   575 - 590   2022.3

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/ms-2022-0038

  • Symmetry of Dressed Photon Reviewed International journal

    Hiroyuki Ochiai

    Symmetry   13 ( 7 )   1283   2021.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.3390/sym13071283

    Other Link: https://www.mdpi.com/2073-8994/13/7/1283

  • Zeta functions of periodic cubical lattices and cyclotomic-like polynomials Invited Reviewed International journal

    Yasuaki Hiraoka, Hiroyuki Ochiai, and Tomoyuki Shirai

    Advanced Studies in Pure Mathematics   84   93 - 121   2020.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Exact solutions to a class of time fractional evolution systems with variable coefficients Reviewed International journal

    Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya

    Journal of Mathematical Physics   59 ( 8 )   2018.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1063/1.5035392

  • On the Letac-Massam Conjecture on cones QAn Reviewed

    Piotr Graczyk, Hideyuki Ishi, Salha Mamane, Hiroyuki Ochiai

    Proceedings of the Japan Academy Series A: Mathematical Sciences   93 ( 3 )   16 - 21   2017.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3792/pjaa.93.16

  • A concise parametrization of affine transformation Reviewed International journal

    Shizuo Kaji, Hiroyuki Ochiai

    SIAM Journal on Imaging Sciences   9 ( 3 )   1355 - 1373   2016.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1137/16M1056936

  • Mathematical basics of motion and deformation in computer graphics Reviewed

    Ken Anjyo, Hiroyuki Ochiai

    Synthesis Lectures on Computer Graphics and Animation   6 ( 3 )   1 - 85   2015.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2200/S00599ED1V01Y201409CGR017

  • Values of twisted tensor L-functions of automorphic forms over imaginary quadratic fields Reviewed International journal

    Canadian J. Math.   66 ( 5 )   1078 - 1109   2014.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: http://dx.doi.org/10.4153/CJM-2013-047-5

  • On orbits in double flag varieties for symmetric pairs Reviewed International journal

    Transformation Groups   18 ( 4 )   1091 - 1136   2013.6

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    Language:English   Publishing type:Research paper (scientific journal)  

  • A generalized hypergeometric system Reviewed

    J. Math. Sci. Univ. Tokyo   20 ( 2 )   285 - 315   2013.6

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    Language:English   Publishing type:Research paper (bulletin of university, research institution)  

  • Non-commutative harmonic oscillators Invited Reviewed International journal

    Symmetries, Integrable Systems and Representations   2013.5

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Double flag varieties for a symmetric pair and finiteness of orbits Reviewed International journal

    Kyo Nishiyama and Hiroyuki Ochiai

    Journal of Lie Theory   21   2011.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Zeta functions and Casimir energies on infinite symmetric groups II Invited Reviewed International journal

    Nobushige Kurokawa and Hiroyuki Ochiai

    Casimir Force, Casimir operators and Riemann hypothesis   2010.12

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Symmetry on linear relations for multiple zeta values, Reviewed

    Kentaro Ihara and Hiroyuki Ochiai,

    Nagoya Mathematical Journal   189   2008.5

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    Language:English   Publishing type:Research paper (bulletin of university, research institution)  

  • A special value of the spectral zeta function of the non-commutative harmonic oscillators Reviewed International journal

    The Ramanujan Journal   2008.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    A special value of the spectral zeta function of the non-commutative harmonic oscillators

  • A D-module approach to invariant distributions with finitely many orbits

    Ochiai H.

    Indagationes Mathematicae   2024   ISSN:00193577

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    Publisher:Indagationes Mathematicae  

    Tauchi provides an example illustrating the action of a real algebraic subgroup H of GL(2n,R) with finitely many orbits on R2n, while the dimension of the space of relative H-invariant distributions on R2n is infinite. We offer a perspective on this example from the viewpoint of D-modules, where we explicitly determine the simple quotient regular holonomic D-modules and demonstrate that the distributions exhibit an enlarged symmetry.

    DOI: 10.1016/j.indag.2024.07.006

    Scopus

  • A STUDY OF A FUCHSIAN SYSTEM OF RANK 8 IN 3 VARIABLES AND THE ORDINARY DIFFERENTIAL EQUATIONS AS ITS RESTRICTIONS

    Ebisu A., Haraoka Y., Kaneko M., Ochiai H., Sasaki T., Yoshida M.

    Osaka Journal of Mathematics   60 ( 1 )   153 - 206   2023.1   ISSN:00306126

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    Publisher:Osaka Journal of Mathematics  

    A Fuchsian system of rank 8 in 3 variables with 4 parameters is found. The singular locus consists of six planes and a cubic surface. The restriction of the system onto the intersection of two singular planes is an ordinary differential equation of order four with three singular points. A middle convolution of this equation turns out to be the tensor product of two Gauss hypergeometric equations, and another middle convolution sends this equation to the Dotsenko-Fateev equation. Local solutions of these ordinary differential equations are found. Their coefficients are sums of products of the Gamma functions. These sums can be expressed as special values of the generalized hypergeometric series4 F3 at 1.

    Scopus

  • Off-Shell Quantum Fields to Connect Dressed Photons with Cosmology Reviewed International journal

    Hirofumi Sakuma, Izumi Ojima, Motoichi Ohtsu and Hiroyuki Ochiai

    Symmetry   12 ( 8 )   1244   2020.8

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    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.3390/sym12081244

  • On solutions of linear fractional differential equations and systems thereof Reviewed

    Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya

    Fractional Calculus and Applied Analysis   22 ( 2 )   479 - 494   2019.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/fca-2019-0028

  • Lie symmetry analysis of a class of time fractional nonlinear evolution systems Reviewed

    Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya

    Applied Mathematics and Computation   329   105 - 117   2018.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.amc.2018.01.056

  • An elementary introduction to matrix exponential for CG

    Hiroyuki Ochiai, Ken Anjyo, Ayumi Kimura

    ACM International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2016 ACM SIGGRAPH 2016 Courses, SIGGRAPH 2016   2016.7

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    Language:English   Publishing type:Research paper (other academic)  

    DOI: 10.1145/2897826.2927338

  • Zeta Functions of Representations

    Nobushige Kurokawa, Hiroyuki Ochiai

    Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi   63 ( 1 )   215 - 222   2014.12

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    Language:English  

    Zeta Functions of Representations

    DOI: 10.14992/00010884

  • Values of Twisted Tensor L-functions of Automorphic Forms Over Imaginary Quadratic Fields Reviewed

    Dominic Lanphier, Howard Skogman, Hiroyuki Ochiai

    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES   66 ( 5 )   1078 - 1109   2014.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4153/CJM-2013-047-5

  • Closed orbits on partial flag varieties and double flag variety of finite type Reviewed

    Keisuke Kondo, Kyo Nishiyama, Hiroyuki Ochiai, Kenji Taniguchi

    Kyushu J. Math.   68 ( 1 )   113 - 119   2014.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Closed orbits on partial flag varieties and double flag variety of finite type Reviewed

    Kensuke Kondo, Kyo Nishiyama, Hiroyuki Ochiai, Kenji Taniguchi

    Kyushu Journal of Mathematics   68 ( 1 )   113 - 119   2014.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2206/kyushujm.68.113

  • Mathematical basics of motion and deformation in computer graphics

    Ken Anjyo, Hiroyuki Ochiai

    Mathematical Basics of Motion and Deformation in Computer Graphics   1 - 82   2014.1

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    Language:English  

  • Mathematical basics of motion and deformation in computer graphics

    Hiroyuki Ochiai, Ken Anjyo

    ACM Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2014 ACM SIGGRAPH 2014 Courses, SIGGRAPH 2014   2014.1

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    Language:English   Publishing type:Research paper (other academic)  

    DOI: 10.1145/2614028.2615386

  • Generating various flow fields using principal component analysis

    Syuhei Sato, Yoshinori Dobashi, Kei Iwasaki, Hiroyuki Ochiai, Tsuyoshi Yamamoto, Tomoyuki Nishita

    ACM Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2014 ACM SIGGRAPH 2014 Posters, SIGGRAPH 2014   2014

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    Language:English   Publishing type:Research paper (other academic)  

    DOI: 10.1145/2614217.2630575

  • Mathematical description of motion and deformation - From basics to graphics applications

    Hiroyuki Ochiai, Ken Anjyo

    SIGGRAPH Asia 2013 Courses, SA 2013 SIGGRAPH Asia 2013 Courses, SA 2013   2013.12

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    Language:English   Publishing type:Research paper (other academic)  

    DOI: 10.1145/2542266.2542268

  • On Orbits in Double Flag Varieties for Symmetric Pairs Reviewed

    Xuhua He, Hiroyuki Ochiai, Kyo Nishiyama, Yoshiki Oshima

    Transformation Groups   18 ( 4 )   1091 - 1136   2013.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00031-013-9243-8

  • ZEROS OF WITTEN ZETA FUNCTIONS AND ABSOLUTE LIMIT Reviewed

    Nobushige Kurokawa, Hiroyuki Ochiai

    KODAI MATHEMATICAL JOURNAL   36 ( 3 )   440 - 454   2013.10

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  • Dualities for absolute zeta functions and multiple gamma functions Reviewed

    Nobushige Kurokawa, Hiroyuki Ochiai

    Proceedings of the Japan Academy Series A: Mathematical Sciences   89 ( 7 )   75 - 79   2013.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3792/pjaa.89.75

  • A generalized hypergeometric system Reviewed

    Hiroyuki Ochiai, Uuganbayar Zunderiya

    Journal of Mathematical Sciences (Japan)   20 ( 2 )   285 - 315   2013

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  • Zeros of Witten zeta functions and absolute limit Reviewed

    Nobushige Kurokawa, Hiroyuki Ochiai

    Kodai Mathematical Journal   36 ( 3 )   440 - 454   2013

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2996/kmj/1383660691

  • Non-commutative harmonic oscillators

    Hiroyuki Ochiai

    Symmetries, Integrable Systems and Representations   40   483 - 490   2013

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    Language:English   Publishing type:Research paper (other academic)  

    DOI: 10.1007/978-1-4471-4863-0_19

  • Generating flow fields variations by modulating amplitude and resizing simulation space

    Syuhei Sato, Yoshinori Dobashi, Kei Iwasaki, Hiroyuki Ochiai, Tsuyoshi Yamamoto

    SIGGRAPH Asia 2013 Technical Briefs, SA 2013 SIGGRAPH Asia 2013 Technical Briefs, SA 2013   2013

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    Language:English   Publishing type:Research paper (other academic)  

    DOI: 10.1145/2542355.2542371

  • Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms Reviewed

    Tomoyoshi Ibukiyama, Takako Kuzumaki, Hiroyuki Ochiai

    Journal of the Mathematical Society of Japan   64 ( 1 )   273 - 316   2012.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2969/jmsj/06410273

  • Holonomic system of Gegenbauer type polynomials Reviewed

    Tomoyoshi Ibukiyama, Takako Kuzumaki, Hiroyuki Ochiai

    Journal of Mathematical Society of Japan   64 ( 1 )   2012.1

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  • Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms Reviewed

    Tomoyoshi Ibukiyama, Takako Kuzumaki, Hiroyuki Ochiai

    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN   64 ( 1 )   273 - 316   2012.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2969/jmsj/06410273

  • A multivariable Euler product of Igusa type and its applications Reviewed

    Nobushige Kurokawa, Hiroyuki Ochiai

    Journal of Number Theory   129 ( 8 )   1919 - 1930   2009.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jnt.2008.10.008

  • Spectra of alternating Hilbert operators, Invited Reviewed International journal

    Nobushige Kurokawa and Hiroyuki Ochiai,

    Spectral Analysis in Geometry and Number Theory, Contemporary Mathematics   484   2009.5

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions Reviewed

    Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura

    Acta Arithmetica   132 ( 2 )   99 - 125   2008.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4064/aa132-2-1

  • Higher Mahler measures and zeta functions, Reviewed International journal

    Nobushige Kurokawa, Matilde Lalin and Hiroyuki Ochiai,

    Acta Arithmetica   135   2008.5

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  • A special value of the spectral zeta function of the non-commutative harmonic oscillators Reviewed

    Hiroyuki Ochiai

    Ramanujan Journal   15 ( 1 )   31 - 36   2008.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11139-007-9065-1

  • Higher Mahler measures and zeta functions Reviewed

    Acta Arithmetica   135 ( 3 )   269 - 297   2008

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4064/aa135-3-5

  • Symmetry on linear relations for multiple zeta values Reviewed

    Kentaro Ihara, Hiroyuki Ochiai

    Nagoya Mathematical Journal   189   49 - 62   2008

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  • An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions Reviewed

    Michihiko Fujii, Hiroyuki Ochiai

    Publications of the Research Institute for Mathematical Sciences   43 ( 3 )   727 - 761   2007.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2977/prims/1201012040

  • An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions Reviewed

    Michihiko Fujii, Hiroyuki Ochiai

    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES   43 ( 3 )   727 - 761   2007.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2977/prims/1201012040

  • Generalized Kinkelin's formulas Reviewed

    Nobushige Kurokawa, Hiroyuki Ochiai

    KODAI MATHEMATICAL JOURNAL   30 ( 2 )   195 - 212   2007.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2996/kmj/1183475511

  • Arithmetic structure of CMSZ fake projective planes Reviewed

    Fumiharu Kato, Hiroyuki Ochiai

    Journal of Algebra   305 ( 2 )   1166 - 1185   2006.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jalgebra.2006.07.019

  • Theta lifting of nilpotent orbits for symmetric pairs Reviewed

    Kyo Nishiyama, Hiroyuki Ochiai, Chen Bo Zhu

    Transactions of the American Mathematical Society   358 ( 6 )   2713 - 2734   2006.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/S0002-9947-05-03826-2

  • Scaling Limit of Successive Approximations for w′=-w2 Reviewed

    49 ( 2 )   291 - 319   2006.1

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    We prove existence of scaling limits of sequences of functions defined by the recursion relation w′n+1(ϰ)= -wn(ϰ)2. which is a successive approximation to w′(ϰ)= -wn(ϰ)2 a simplest non-linear ordinary differential equation whose solutions have moving singularities. Namely, the sequence approaches the exact solution as n→ √ in an asymptotically conformal way, [formula omitted], for a sequence of numbers {qn} and a function [formula omitted]. We also discuss implication of the results in terms of random sequential bisections of a rod.

    DOI: 10.1619/fesi.49.291

  • Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank one Reviewed

    Hiroyuki Ochiai

    Indagationes Mathematicae   16 ( 3-4 )   631 - 638   2005.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/S0019-3577(05)80043-6

  • Non-commutative harmonic oscillators and the connection problem for the heun differential equation Reviewed

    Hiroyuki Ochiai

    Letters in Mathematical Physics   70 ( 2 )   133 - 139   2004.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11005-004-4292-5

  • Polynomials associated with the hypergeometric functions with finite monodromy groups Reviewed

    Hiroyuki Ochiai, Masaaki Yoshida

    International Journal of Mathematics   15 ( 7 )   629 - 649   2004.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1142/S0129167X0400248X

  • On coefficients of Yablonskii-Vorob'ev polynomials Reviewed

    Masanobu Kaneko, Hiroyuki Ochiai

    Journal of the Mathematical Society of Japan   55 ( 4 )   985 - 993   2003.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2969/jmsj/1191418760

  • Commuting Differential Operators of Type B2 Reviewed

    Hiroyuki Ochiai, Toshio Oshima

    Funkcialaj Ekvacioj   46 ( 2 )   297 - 336   2003.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1619/fesi.46.297

  • Intersection theory for loaded cycles IV - Resonant cases Reviewed

    Katsuhisa Mimachi, Hiroyuki Ochiai, Masaaki Yoshida

    Mathematische Nachrichten   260   67 - 77   2003

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/mana.200310105

  • Non-commutative harmonic oscillators and Fuchsian ordinary differential operators Reviewed

    Hiroyuki Ochiai

    Communications in Mathematical Physics   217 ( 2 )   357 - 373   2001.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s002200100362

  • Bernstein degree and associated cycles of Harish-Chandra modules - Hermitian symmetric case Reviewed

    Kyo Nishiyama, Hiroyuki Ochiai, Kenji Taniguchi

    Asterisque   273   13 - 80   2001

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  • The degrees of orbits of the multiplicity-free actions Reviewed

    Sholiei Kato, Hiroyuki Ochiai

    Asterisque   273   139 - 158   2001

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  • Bernstein degree of singular unitary highest weight representations of the metaplectic group Reviewed

    K Nishiyama, H Ochiai

    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES   75 ( 2 )   9 - 11   1999.2

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  • A p-adic property of the Taylor series of exp(x + xp/p) Reviewed

    Hiroyuki Ochiai

    Hokkaido Mathematical Journal   28 ( 1 )   71 - 85   1999.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.14492/hokmj/1351001078

  • Bernstein degree of singular unitary highest weight representations of the metaplectic group Reviewed

    Kyo Nishiyama, Hiroyuki Ochiai

    Proceedings of the Japan Academy Series A: Mathematical Sciences   75 ( 2 )   9 - 11   1999

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3792/pjaa.75.9

  • Quotients of some prehomogeneous vector spaces Reviewed

    Hiroyuki Ochiai

    Journal of Algebra   192 ( 1 )   61 - 73   1997.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1006/jabr.1996.6979

  • Commuting differential operators of rank two Reviewed

    Hiroyuki Ochiai

    Indagationes Mathematicae   7 ( 2 )   243 - 255   1996.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/0019-3577(96)85093-2

  • Characters and character cycles Reviewed

    Hiroyuki Ochiai

    Journal of the Mathematical Society of Japan   45 ( 4 )   583 - 598   1993

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2969/jmsj/04540583

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Books

  • シンメトリ

    ヘルマン・ワイル (著), 冨永 星(翻訳), 落合啓之(解説)( Role: Joint author)

    筑摩書房  2022.12 

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    Language:Japanese   Book type:General book, introductory book for general audience

    ワイルのこの最後の著書は数学のみならず物理、化学、建築にも広がる多彩な話題を取り扱っている。その啓蒙的な本に現れる数学的な内容を専門家として一般読者にわかりやすく解説した。

    DOI: 978-4480511386

  • Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition

    Ken Anjyo, Hiroyuki Ochiai( Role: Joint author)

    Morgan and Claypool  2017.4 

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    Language:English   Book type:Scholarly book

    DOI: https://doi.org/10.1007/978-3-031-02592-1

    Other Link: https://link.springer.com/book/10.1007/978-3-031-02592-1

  • Mathematical Progress in Expressive Image Synthesis II

    Hiroyuki Ochiai, Ken Anjyo( Role: Edit)

    Springer-Verlag  2015.6 

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    Language:English   Book type:Scholarly book

  • Mathematical Basics of Motion and Deformation in Computer Graphics

    Ken Anjyo, Hiroyuki Ochiai( Role: Joint author)

    Morgan & Claypool Publishers  2014.10 

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    Responsible for pages:doi:10.2200/S00599ED1V01Y201409CGR017   Language:English   Book type:Scholarly book

    Other Link: http://www.morganclaypool.com/doi/abs/10.2200/S00599ED1V01Y201409CGR017

  • Mathematical Progress in Expressive Image Synthesis I

    Ken Anjyo, Hiroyuki Ochiai( Role: Edit)

    Springer-Verlag  2014.8 

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    Language:English   Book type:Scholarly book

  • SL(2,R)の表現論

    落合 啓之

    朝倉書店  2024    ISBN:9784254118742

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    Language:Japanese  

    CiNii Books

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Presentations

  • A non-holonomic D-module with infinite-dimensional solutions Invited

    Hiroyuki Ochiai

    workshop "D-modules and hyperplane arrangements",  2023.2 

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    Event date: 2023.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 2重旗多様体の軌道分解 Invited

    落合啓之

    研究集会「パーシステントホモロジーと表現論」  2023.2 

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    Event date: 2023.2

    Language:Japanese  

    Venue:オンライン   Country:Japan  

  • Math meets CG Invited International conference

    Hiroyuki Ochiai

    IPMU Colloquium  2023.2 

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    Event date: 2023.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • ゲームプログラマのための数学の歩き方 - ベクトル解析編

    長谷川勇, 鍛冶静雄, 落合啓之

    2022.8 

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    Event date: 2022.8

    Language:Japanese  

    Venue:パシフィコ横浜ノース   Country:Japan  

    リアルやアニメの3Dのコンピュータゲームの制作を行っているプログラマやエンジニアに向けた数学の専門家からのわかりやすい解説と応用を与えた。IMIとして、鍛冶教授、溝口教授とも共同で、何年にもわたって続けている。

  • ガウス全集に記載されている算術幾何平均と超幾何関数 Invited

    落合啓之

    研究集会 Low dimensional topology and number theory XIII  2022.3 

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    Event date: 2022.3

    Language:Japanese  

    Venue:九州大学   Country:Japan  

  • Opening the black box of mathematics for CG International conference

    Hiroyuki Ochiai, Ken Anjyo

    SIGGRAPH ASIA 2021  2021.12 

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    Event date: 2021.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • ゲームプログラマのための数学の歩き方 - デュアルクォータニオン編

    長谷川勇, 鍛冶静雄, 落合啓之

    2021.8 

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    Event date: 2021.8

    Language:Japanese  

    Venue:パシフィコ横浜   Country:Japan  

  • An absolute version of Hasse zeta functions Invited International conference

    Hiroyuki Ochiai

    Riemann-Roch in characteristic one and related topics  2019.10 

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    Event date: 2019.10 - 2020.10

    Language:English   Presentation type:Oral presentation (general)  

    Country:United States  

  • 超幾何関数のリー環対称性について Invited

    落合啓之

    研究集会「微分方程式と表現論」  2018.12 

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    Event date: 2018.12 - 2019.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:城西大学   Country:Japan  

  • Making a bridge between Ibukiyama and Kobayashi Invited International conference

    Hiroyuki Ochiai

    2017.9 

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    Event date: 2017.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Zeros of Eulerian polynomials Invited International conference

    Hiroyuki Ochiai

    Various Aspects of Multiple Zeta Functions  2017.8 

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    Event date: 2017.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Covariant differential operators and Heckman-Opdam hypergeometric systems Invited International conference

    Hiroyuki Ochiai

    International Conference for Korean Mathematical Society 70th Anniversary,  2016.10 

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    Event date: 2016.10

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  • An Elementary Introduction to Matrix Exponential for CG International conference

    Hiroyuki Ochiai, Ken Anjyo and Ayumi Kimura

    SIGGRAPH  2016.7 

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    Event date: 2016.7

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:United States  

  • An Introduction to Matrix Exponential for CG Invited International conference

    Hiroyuki Ochiai, Ken Anjyo

    2016.2 

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    Event date: 2016.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:New Zealand  

  • 概説講演“CG 映像制作におけるリー理論” Invited

    落合啓之

    表現論シンポジウム  2015.11 

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    Event date: 2015.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:静岡県伊豆の国市   Country:Japan  

  • CG映像制作の数理 Invited

    落合 啓之

    日本数学会  2015.9 

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    Event date: 2015.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:京都産業大学   Country:Japan  

  • 共変微分作用素の超幾何多項式表示 Invited

    落合 啓之

    不変性と双対性  2015.9 

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    Event date: 2015.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:鹿児島大学理学部   Country:Japan  

  • Computer graphics and mathematics Invited International conference

    Computational and Geometric Approaches for Nonlinear Phenomena  2015.8 

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    Event date: 2015.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Covariant differential operators and Heckman–Opdam hypergeometric systems Invited International conference

    落合 啓之

    2015.7 

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    Event date: 2015.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:東京大学Kavli IPMU   Country:Japan  

  • Mathematical basics of motion and deformation in computer graphics International conference

    Ken Anjyo, Hiroyuki Ochiai

    ACM SIGGRAPH  2014.8 

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    Event date: 2014.8

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Canada  

  • 行列の数理と運動の記述 Invited

    落合 啓之

    2013.8 

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    Event date: 2013.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:パシフィコ横浜,   Country:Japan  

    ゲーム開発者を中心とした実業界で活躍するエキスパートに向けて、数学的手法や思想、特に行列やリー群を活用した、運動の記述や補間について、分かりやすく解説した。

  • ユニタリ表現の分類はそろそろできるだろうか? Invited

    落合 啓之

    2013 年度日本数学会年会  2013.3 

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    Event date: 2013.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:京都大学   Country:Japan  

  • Double flag variety for a symmetric pair and finiteness of orbits Invited International conference

    OCHIAI HIROYUKI

    Representation Theory of Chevalley Groups and Related Topics  2012.3 

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    Event date: 2012.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Positivity of alpha determinant Invited International conference

    OCHIAI HIROYUKI

    Geometrci Analysis on Euclidean Homogeneous Spaces  2012.1 

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    Event date: 2012.1

    Language:English  

    Country:Japan  

  • On Sekiguchi correspondence Invited International conference

    Hiroyuki Ochiai

    Topics in the Theory of Weyl Groups and Root Systems  2011.9 

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    Event date: 2011.9

    Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: http://www.gem.aoyama.ac.jp/~rtweb/workshop/sekiguchi60/program_sekiguchi60.html

  • On non-commutative harmonic oscillators Invited International conference

    Hiroyuki Ochiai

    Infinite Analysis 11  2011.7 

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    Event date: 2011.7

    Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: http://sites.google.com/site/infiniteanalysis2011/program

  • Positivity of an alpha determinant Invited International conference

    OCHIAI HIROYUKI

    Analysis, Geometry and Group Representations for Homogeneous Spaces  2010.11 

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    Event date: 2010.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Netherlands  

  • Invariant hyperfunctions on some semisimple symmetric space Invited International conference

    OCHIAI HIROYUKI

    International conference on representation theory and harmonic analysis  2010.6 

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    Event date: 2010.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  • Invariant hyperfunctions on some semisimple symmetric spaces, Invited International conference

    Workshop on Harmonic Analysis and Invariant Distributions,  2009.12 

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    Event date: 2009.12

    Presentation type:Oral presentation (general)  

    Country:Singapore  

    12/14 と 12/16 の2コマの連続講演

  • Zeta functions and Casimir energies on infinite symmetric groups, Invited International conference

    Casimir Force, Casimir Operators and the Riemann Hypothesis,  2009.11 

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    Event date: 2009.11

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • An algebraic transformation of Gauss hypergeometric function Invited International conference

    Differential equations and symmetric spaces  2009.1 

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    Event date: 2009.1

    Presentation type:Oral presentation (general)  

    Country:Japan  

    An algebraic transformation of Gauss hypergeometric function

  • Fractional differential equations and symmetry Invited International conference

    Hiroyuki Ochiai

    Colloquium  2023.7 

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    Event date: 2024.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Mongolia  

  • Divergent series and summation formula Invited International conference

    Hiroyuki Ochiai

    Freshmen math seminar  2023.5 

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    Event date: 2023.6 - 2024.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Mongolia  

  • Nilpotent orbits in complex simple Lie algebras and prehomogeneous vector spaces Invited International conference

    Hiroyuki Ochiai

    2019.3 

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    Event date: 2019.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Gamma factors of Selberg's zeta functions and absolute zeta functions Invited

    2018.3 

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    Event date: 2018.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • An Introduction to Matrix Exponential for CG Invited International conference

    Ken Anjyo, Hiroyuki Ochiai

    2016.2 

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    Event date: 2016.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 特殊関数の活用について Invited

    落合 啓之

    第6回多重ゼータミニセミナー  2013.2 

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    Event date: 2013.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Alpha-determinant for rank-two matrices International conference

    OCHIAI HIROYUKI

    International Conference on Geometry, Number Theory and Representation Theory  2012.10 

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    Event date: 2012.10

    Language:English  

    Country:Korea, Republic of  

  • Double flag variety for a symmetric pair and spherical actions Invited International conference

    OCHIAI HIROYUKI

    Summer School and Workshop on Representation Theory and Harmonic Analysis  2012.6 

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    Event date: 2012.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  • Non-commutative harmonic oscillators and the connection problem for the Heun differential equation Invited International conference

    Hiroyuki Ochiai

    Workshop on "Avoided ? Crossing of Eigenvalue Curves" -- Non-commutative Harmonic Oscillator, Special Functions and Number Theory--  2012.3 

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    Event date: 2012.3

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • 対称対の有限型二重旗多様体 Invited

    落合啓之

    2011.11 

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    Event date: 2011.11

    Presentation type:Oral presentation (invited, special)  

    Venue:国民宿舎 紀州路みなべ   Country:Japan  

    簡約代数群 G の部分旗多様体と, その対称部分群 K の部分旗多様体の直積を
    対称対の2重旗多様体と呼ぶことにする.
    2重旗多様体への K の対角的な作用が有限個の軌道を持つのはどんな部分旗多様体の組のときか,
    また, その場合に軌道分解はどうなるか, という問題を考える.
    この講演は, 西山享, 近藤健介の講演へと引き続く, 概説的な部分を担当する.
    この講演の内容は, 上記2名ならびに, 谷口健二, Xuhua He との共同研究の内容に基づく.

  • Mathematical consideration on visualization of complex objects Invited International conference

    Hiroyuki Ochiai

    International Symposium on Plasma Turbulence, Imaging and Synergy  2011.6 

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    Event date: 2011.6

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Zeros of Witten zeta functions and absolute limits Invited International conference

    Nobushige Kurokawa and Hiroyuki Ochiai

    Noncommutative Geometry and Arithmetic  2011.3 

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    Event date: 2011.3

    Presentation type:Oral presentation (general)  

    Country:United States  

  • 状態和としての多重ゼータ値 Invited

    RIMS 研究集会「多重ゼータ値の諸相」  2011.5 

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    Event date: 2010.9

    Presentation type:Oral presentation (general)  

    Venue:京都大学数理解析研究所   Country:Japan  

  • アルファ行列式の正値性について Invited

    落合 啓之

    RIMS 研究集会「等質空間と非可換調和解析」  2010.6 

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    Event date: 2010.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:京都大学数理解析研究所   Country:Japan  

  • Polynomial differential operators acting on automorphic forms, I, II, Invited International conference

    Workshop on Invariant Theory and Related Topics,  2010.2 

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    Event date: 2010.2

    Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

    2/17と2/19 の2コマの連続講演

  • Invariant distributions, a survey,

    2009.12 

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    Event date: 2009.12

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Polynomial solutions of a generalization of Gelfand hypergeometric equations,

    Zatas and Limit Laws in Okinawa 2009,  2009.11 

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    Event date: 2009.11

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • マーラー測度の一つの高次元化 Invited

    落合啓之

    解析数論セミナー  2009.9 

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    Event date: 2009.9

    Presentation type:Oral presentation (general)  

    Venue:名古屋大学   Country:Japan  

  • 変数分離 Invited

    落合啓之

    名古屋大学数学教育セミナー  2009.7 

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    Event date: 2009.7

    Presentation type:Oral presentation (general)  

    Venue:名古屋大学   Country:Japan  

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MISC

  • 総和法 Reviewed

    落合啓之

    数学セミナー, 日本評論社   2023.8

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

    特集「1+2+3+... = -1/12」

  • ワイル「シンメトリ」解説 Reviewed

    落合啓之

    筑摩書房   2022.12

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 表現論 Reviewed

    落合啓之

    数理科学   2020.10

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

    特集「現代数学の捉え方 代数編」

  • Discriminants, Resultants, and Multidimensional Determinants

    2020.4

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    Language:Japanese   Publishing type:Book review, literature introduction, etc.  

  • Arithmetic structure of CMSZ fake projective planes Reviewed

    Fumiharu Kato, Hiroyuki Ochiai

    JOURNAL OF ALGEBRA   2006.11

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    Language:English  

    DOI: 10.1016/j.jalgebra.2006.07.019

  • Arithmetic structure of CMSZ fake projective planes

    Fumiharu Kato, Hiroyuki Ochiai

    JOURNAL OF ALGEBRA   2006.11

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    Language:English  

    DOI: 10.1016/j.jalgebra.2006.07.019

  • Scaling Limit of Successive Approximations for w(1) = -w(2) Reviewed

    Tetsuya Hattori, Hiroyuki Ochiai

    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA   2006.8

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    Language:English  

    DOI: 10.1619/fesi.49.291

  • Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank one

    Hiroyuki Ochiai

    Indagationes Mathematicae   2005.12

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    Language:English  

    DOI: 10.1016/S0019-3577(05)80043-6

  • Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank one

    H Ochiai

    INDAGATIONES MATHEMATICAE-NEW SERIES   2005.12

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    Language:English  

    DOI: 10.1016/S0019-3577(05)80043-6

  • Non-commutative harmonic oscillators and the connection problem for the heun differential equation

    Hiroyuki Ochiai

    Letters in Mathematical Physics   2004.12

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    Language:English  

    DOI: 10.1007/s11005-004-4292-5

  • Non-commutative harmonic oscillators and the connection problem for the heun differential equation

    H Ochiai

    LETTERS IN MATHEMATICAL PHYSICS   2004.11

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    Language:English  

    DOI: 10.1007/s11005-004-4292-5

  • Polynomials associated with the hypergeometric functions with finite monodromy groups

    H Ochiai, M Yoshida

    INTERNATIONAL JOURNAL OF MATHEMATICS   2004.9

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    Language:English  

    DOI: 10.1142/S0129167X0400248X

  • Polynomials associated with the hypergeometric functions with finite monodromy groups

    H Ochiai, M Yoshida

    INTERNATIONAL JOURNAL OF MATHEMATICS   2004.9

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    Language:English  

    DOI: 10.1142/S0129167X0400248X

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Professional Memberships

  • 日本アクチュアリ会

  • Japan Mathematical Society

  • MSJ

  • 日本数学会

  • 日本数学会

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Committee Memberships

  • 日本数学会   Journal of Mathematical Society of Japan 編集委員  

    2019 - Present   

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    Committee type:Academic society

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Academic Activities

  • さきがけ/領域アドバイザ

    Role(s): Review, evaluation

    2019.6 - 2024.6

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    Type:Scientific advice/Review 

  • co-chair International contribution

    MEIS2015  ( Japan ) 2015.9

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    Type:Competition, symposium, etc. 

  • 科研費1段審査委員(審査委員表彰を受けた, 2017年秋)

    Role(s): Review, evaluation

    日本学術振興会  2015.6 - 2017.6

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    Type:Scientific advice/Review 

  • co-chair International contribution

    MEIS2014  ( Japan ) 2014.11

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    Type:Competition, symposium, etc. 

    Number of participants:78

  • co-organizer International contribution

    Prehomogeneous Vector Spaces and Related Topics  ( Japan ) 2014.9

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    Type:Competition, symposium, etc. 

  • 評議員

    日本数学会  2010.3 - 2011.2

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    Type:Competition, symposium, etc. 

  • 函数解析分科会分科会委員

    日本数学会  2007.4 - 2010.3

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    Type:Competition, symposium, etc. 

  • 第2段審査委員、審査第三部会、数物系科学・化学小委員会

    Role(s): Review, evaluation

    学振  2007.1 - 2007.12

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    Type:Scientific advice/Review 

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Research Projects

  • A new data-driven approach to bring humanity into virtual worlds with computer vision

    Grant number:23K28129  2023.4 - 2026.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Grant type:Scientific research funding

    CiNii Research

  • 「かたち」と「うごき」を表す高次元データ記述子の開発

    Grant number:22H05107  2022.6 - 2027.3

    科学研究費助成事業  学術変革領域研究(A)

    平岡 裕章, 石井 豊, 池 祐一, 落合 啓之

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    Grant type:Scientific research funding

    現代社会に氾濫する高次元データは,その構造を直接「見る」ことができない.低次元空間への射影や断面を用いる従来法からは,構造の直感的理解を得ることは難しく,さらには幾何・トポロジー構造が潰されたものになる問題点もある.そこで本研究では,高次元データを直感的に知覚できるデータ記述子の開発を目標に据えた,以下の3テーマを実施する.
    テーマ1:バーチャルリアリティ(VR)を用いたインタラクティブな高次元可視化の数理
    テーマ2:パーシステントホモロジーの代数解析・代数幾何的研究とその応用
    テーマ3:マグニチュードホモロジーの自然言語処理・オミックスデータ解析への応用

    CiNii Research

  • データ記述科学の創出と諸分野への横断的展開

    Grant number:22A201  2022 - 2026

    日本学術振興会・文部科学省  科学研究費助成事業  学術変革領域研究(A)

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • 特殊関数論の圏化

    Grant number:17K18726  2017 - 2018

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 特殊関数論の圏化

    Grant number:17K18726  2017 - 2018

    日本学術振興会  科学研究費助成事業  挑戦的研究(萌芽)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 表現論と特殊関数論の統合的展開

    Grant number:15H03613  2015 - 2019

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 表現論と特殊関数論の統合的展開

    Grant number:15H03613  2015 - 2019

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 映像の特徴抽出空間の構成

    Grant number:26610026  2014 - 2016

    科学研究費助成事業  挑戦的萌芽研究

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 映像の特徴抽出空間の構成

    Grant number:26610026  2014 - 2016

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 動く映像の特徴抽出空間の構成

    Grant number:23654054  2011 - 2013

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 動く映像の特徴抽出空間の構成

    Grant number:23654054  2011 - 2013

    科学研究費助成事業  挑戦的萌芽研究

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • デジタル映像数学の構築と表現技術の革新

    2010.10 - 2016.3

    JST(科学技術振興機構) 

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    Authorship:Coinvestigator(s) 

    コンピュータグラフィックスに代表されるデジタル映像の応用は拡大の一途をたどっています.
    本研究は,作りやすさや効率を重視しつつ,従来よりさらに豊かな表現力を持つ映像の制作を可能にするために,デジタル映像表現を対象とする新たな数学分野形成の礎を築くことを目指します.
    特に,人間の動作や表情と流体の表現に焦点をあて,これらの映像表現の数学的特徴づけと,作り手の意図をより的確に反映できる数学モデルの構築を推進します.

  • デジタル映像数学の構築と表現技術の革新

    2010 - 2015

    科学研究費助成事業  クレスト(科学技術振興機構)

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    Authorship:Coinvestigator(s)  Grant type:Competitive funding other than Grants-in-Aid for Scientific Research

  • 表現論における積分と特殊関数

    Grant number:19204011  2007 - 2010

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 表現論における積分と特殊関数

    Grant number:19204011  2007 - 2010

    日本学術振興会  科学研究費助成事業  基盤研究(A)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 多変数マーラー測度の研究

    Grant number:19654003  2007 - 2009

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 実簡約群の表現の幾何学的不変量と積分変換

    Grant number:15340005  2003 - 2006

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 非可換調和振動子と特殊関数

    Grant number:15654020  2003 - 2005

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 等質空間のプランシェレル公式

    Grant number:15634007  2003

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 簡約群の幾何学的表現論

    Grant number:11440011  1999 - 2001

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 拡張された帯球函数の微分方程式系

    Grant number:09740122  1997 - 1998

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • オイラーポアソン方程式の対称性

    Grant number:08740121  1996

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 無限次元リ一環の指標と微分方程式

    Grant number:05230055  1993

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 実半単純代数群の指標の幾何的側面

    Grant number:04740097  1992

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

  • 半単純対称空間の表現論に現われる特殊関数の研究

    Grant number:02740090  1990

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type:Scientific research funding

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Educational Activities

  • I give courses for undergraduate and those for graduate students.

Class subject

  • 数理科学特別講義Ⅳ

    2024.10 - 2025.3   Second semester

  • 数理科学特論4

    2024.10 - 2025.3   Second semester

  • 数学共創基礎Ⅴ

    2024.10 - 2024.12   Fall quarter

  • 組合せ論大意

    2024.4 - 2024.9   First semester

  • 数学特論7

    2024.4 - 2024.9   First semester

  • 複素解析学大意

    2023.10 - 2024.3   Second semester

  • 数学特論12

    2023.10 - 2024.3   Second semester

  • 数学特論B2

    2023.10 - 2023.12   Fall quarter

  • 数学共創基礎Ⅴ

    2023.10 - 2023.12   Fall quarter

  • 線形代数学Ⅱ

    2022.10 - 2023.3   Second semester

  • 数学演習AⅡ

    2022.10 - 2023.3   Second semester

  • 数学共創基礎Ⅴ

    2022.10 - 2022.12   Fall quarter

  • 複素解析学大意

    2022.4 - 2022.9   First semester

  • 線形代数学Ⅰ

    2022.4 - 2022.9   First semester

  • 数学演習AⅠ

    2022.4 - 2022.9   First semester

  • 数学特論12(複素解析学)

    2022.4 - 2022.9   First semester

  • 線形代数学Ⅱ

    2021.10 - 2022.3   Second semester

  • 数学演習AⅡ

    2021.10 - 2022.3   Second semester

  • 数学共創基礎Ⅴ

    2021.10 - 2021.12   Fall quarter

  • 数理科学特別講義Ⅹ

    2021.4 - 2021.9   First semester

  • 代数幾何学大意

    2021.4 - 2021.9   First semester

  • 線形代数学Ⅰ

    2021.4 - 2021.9   First semester

  • 数学演習AI

    2021.4 - 2021.9   First semester

  • 数理科学特論10

    2021.4 - 2021.9   First semester

  • 数学特論1(代数幾何学)

    2021.4 - 2021.9   First semester

  • 数学特論1

    2020.10 - 2021.3   Second semester

  • 数学演習ⅠB

    2020.10 - 2021.3   Second semester

  • 線形代数学・同演習B

    2020.10 - 2021.3   Second semester

  • 代数幾何学大意

    2020.10 - 2021.3   Second semester

  • 数学演習ⅠA

    2020.4 - 2020.9   First semester

  • 線形代数学・同演習A

    2020.4 - 2020.9   First semester

  • 線形代数学・同演習B

    2019.10 - 2020.3   Second semester

  • 線形代数続論

    2019.4 - 2019.9   First semester

  • 数学特論12

    2019.4 - 2019.9   First semester

  • 線形代数学・同演習A

    2019.4 - 2019.9   First semester

  • 複素解析学大意

    2019.4 - 2019.9   First semester

  • 複素関数論

    2018.10 - 2019.3   Second semester

  • 数学ⅠB

    2018.10 - 2019.3   Second semester

  • 数学ⅠC

    2018.10 - 2019.3   Second semester

  • 数学特論12

    2018.4 - 2018.9   First semester

  • 線形代数続論

    2018.4 - 2018.9   First semester

  • 複素解析学大意

    2018.4 - 2018.9   First semester

  • 線形代数続論

    2018.4 - 2018.9   First semester

  • 数学概論Ⅲ・演習

    2017.10 - 2018.3   Second semester

  • 数理科学特別講義Ⅳ

    2017.10 - 2018.3   Second semester

  • 数学概論III

    2017.10 - 2018.3   Second semester

  • 複素関数論

    2017.4 - 2017.9   First semester

  • 数学ⅠB

    2017.4 - 2017.9   First semester

  • 数学ⅠC

    2017.4 - 2017.9   First semester

  • 表現論基礎・演習

    2017.4 - 2017.9   First semester

  • 数学IB

    2017.4 - 2017.9   First semester

  • 表現論基礎演習

    2017.4 - 2017.9   First semester

  • 数学概論III

    2016.10 - 2017.3   Second semester

  • 表現論大意

    2016.4 - 2016.9   First semester

  • 微分積分学III

    2015.10 - 2016.3   Second semester

  • 微分積分学II

    2015.10 - 2016.3   Second semester

  • 表現論大意

    2015.4 - 2015.9   First semester

  • 微分積分学I

    2015.4 - 2015.9   First semester

  • MMAモデル理論

    2014.10 - 2015.3   Second semester

  • 微分積分学III

    2014.10 - 2015.3   Second semester

  • 微分積分学II

    2014.10 - 2015.3   Second semester

  • 微分積分学I

    2014.4 - 2014.9   First semester

  • 表現論大意

    2014.4 - 2014.9   First semester

  • MMAモデル理論

    2013.10 - 2014.3   Second semester

  • 表現論基礎演習

    2013.10 - 2014.3   Second semester

  • 代数学1

    2013.4 - 2013.9   First semester

  • 数学III

    2013.4 - 2013.9   First semester

  • 表現論大意

    2012.10 - 2013.3   Second semester

  • MMAモデル理論

    2012.10 - 2013.3   Second semester

  • 代数学1

    2012.4 - 2012.9   First semester

  • 数学III

    2012.4 - 2012.9   First semester

  • 数学Ib

    2012.4 - 2012.9   First semester

  • 微分積分学

    2011.10 - 2012.3   Second semester

  • 表現論大意

    2011.10 - 2012.3   Second semester

  • 微分積分学

    2011.4 - 2012.3   Full year

  • 線形代数続論

    2011.4 - 2011.9   First semester

  • 微分積分学

    2011.4 - 2011.9   First semester

  • 数学Ib

    2011.4 - 2011.9   First semester

  • 線形代数

    2010.4 - 2011.3   Full year

  • 線形代数

    2010.4 - 2010.9   First semester

  • 微分方程式大意

    2010.4 - 2010.9   First semester

  • 線形代数続論

    2010.4 - 2010.9   First semester

  • 数学IB 複素関数論

    2010.4 - 2010.9   First semester

  • 情報III

    2009.10 - 2010.3   Second semester

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FD Participation

  • 2022.4   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2021.7   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2021.3   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2019.7   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2014.12   Role:Participation   Title:ルーブリック

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2014.7   Role:Participation   Title:GPA

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2010.4   Role:Participation   Title:新任教員研修

    Organizer:University-wide

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Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2023  大阪公立大学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:2023.10.16-20

  • 2014  東京大学大学院数理科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:前期

  • 2014  東北大学大学院理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:前期

Other educational activity and Special note

  • 2022  Class Teacher 

  • 2020  Class Teacher 

  • 2019  Class Teacher 

  • 2014  Class Teacher 

Outline of Social Contribution and International Cooperation activities

  • I got Award as a Reviewer for JSPS grant.

Social Activities

  • CEDEC AWARDS 2022 優秀賞

    横浜市  2021.8

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    Audience: General, Scientific, Company, Civic organization, Governmental agency

    Type:Seminar, workshop

    「ゲームプログラマのための数学の歩き方」シリーズとして、スクエアエニックスの長谷川氏、IMIの鍛冶教授と共同で、ゲーム産業に用いられている数学の肝をわかりやすく伝える講演を行った。

  • 糸島サイエンスキャラバン「日常に隠れている数学」

    福岡県糸島市  糸島市役所  2018.12

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    Audience: General, Scientific, Company, Civic organization, Governmental agency

    Type:Lecture

    小学生やお年寄りもたくさん含む糸島市民向けの講演会。

  • 「コンピュータグラフィックスと数学」

    日本数学会  岡山大学  2018.9

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    Audience: General, Scientific, Company, Civic organization, Governmental agency

    Type:Lecture

    日本数学会の市民講演会。高校生などを含む一般市民への広報活動。

  • 招待講演「行列の数理と運動の記述」

    パシフィコ横浜,  2013.8

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    Audience: General, Scientific, Company, Civic organization, Governmental agency

    Type:Lecture

    ゲーム開発者を中心とした実業界で活躍するエキスパートに向けて、数学的手法や思想、特に行列やリー群を活用した、運動の記述や補間について、分かりやすく解説した。

  • 数学科大学入試問題研究会, 高大連携,

    愛知県高等学校数学研究会, 名城大学  2010.6

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    Audience: Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • 講演:「渋滞学の数理」数学の玉手箱2, 2008.4.26. 「ブルバキ、20 世紀のユークリッド原論」新・数学の玉手箱, 2008.10.25;

    NHK 文化センター  NHK文化センター名古屋  2010.5

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    Audience: General, Scientific, Company, Civic organization, Governmental agency

    Type:Lecture

  • 「大学入試講評」高大連携

    三重県高等学校数学教育研究会, 津西高校,  2008.5

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    Audience: Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

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Media Coverage

  • 特集「使える!数学」 Newspaper, magazine

    週刊ダイヤモンド16年1月23日号  2016.1

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    特集「使える!数学」

  • 氏名入りで研究の紹介。 https://www.sankei.com/west/news/160113/wst1601130003-n3.html Newspaper, magazine

    産経新聞2015年12月31日  2015.12

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    氏名入りで研究の紹介。
    https://www.sankei.com/west/news/160113/wst1601130003-n3.html

  • 記事「輝数遇数 : 数学教室訪問(7)落合啓之 代数解析学・とくに表現論に現れる特殊関数」において紹介された。 Newspaper, magazine

    現代数学2015年11月号  2015.11

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    記事「輝数遇数 : 数学教室訪問(7)落合啓之 代数解析学・とくに表現論に現れる特殊関数」において紹介された。

  • 記事「ε-δがわからない」を執筆。従来よく行われている切り口とは、別の面を提示した意欲的なもの Newspaper, magazine

    数学セミナー6月号 2015  2015.6

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    記事「ε-δがわからない」を執筆。従来よく行われている切り口とは、別の面を提示した意欲的なもの

  • 不変式と表現論、特集「表現論の世界」 Newspaper, magazine

    数理科学2013 年1 月号, pp26–33.  2013.1

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    不変式と表現論、特集「表現論の世界」

  • 名著・大著を読む「判別式、終結式、行列式」Gelfand, Kapranov, Zelevinsky Newspaper, magazine

    数学セミナー  2011.8

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    名著・大著を読む「判別式、終結式、行列式」Gelfand, Kapranov, Zelevinsky

  • 4月号「てらかんと歩む」 Newspaper, magazine

    「数学セミナー」日本評論社  2010.3

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    4月号「てらかんと歩む」

  • 「現代数学の巨大パズルを解く/デービット・ヴォーガン(David Vogan) 氏インタビュー」 Newspaper, magazine

    数学セミナー  2008.2

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    「現代数学の巨大パズルを解く/デービット・ヴォーガン(David Vogan) 氏インタビュー」

  • Aperitif「講演を聴く」 Newspaper, magazine

    数学セミナー  2007.12

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    Aperitif「講演を聴く」

  • Aperitif「ただいま建設中」 Newspaper, magazine

    数学セミナー  2007.6

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    Aperitif「ただいま建設中」

  • 「表現論と特殊関数」 Newspaper, magazine

    数学セミナー  2007.3

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    「表現論と特殊関数」

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Activities contributing to policy formation, academic promotion, etc.

  • 2023.4 - 2027.3   科学技術振興機構

    科学技術振興機構創発的研究支援事業永江パネル創発アドバイザー

  • 2022.4 - 2025.3   日本学術振興会

    日本学術振興会学術システム研究センター数物系科学専門調査班専門研究員

  • 2020.6 - 2025.6   内閣府、日本学術振興会

    ムーンショット研究開発プログラムの目標1「2050年までに、人が身体、脳、空間、時間の制約から解放された社会を実現」のアドバイザ

Acceptance of Foreign Researchers, etc.

  • テクニオン

    Acceptance period: 2016.3 - 2015.3   (Period):2weeks to less than 1 month

    Nationality:Israel

    Business entity:Ministry of education

  • OLMデジタル

    Acceptance period: 2015.5 - 2015.6   (Period):1 month or more

    Nationality:France

    Business entity:On-campus funds

Travel Abroad

  • 2016.7

    Staying countory name 1:United States   Staying institution name 1:Anaheim Convention Center

  • 2015.2 - 2015.3

    Staying countory name 1:New Zealand   Staying institution name 1:Victoria University

  • 2014.2

    Staying countory name 1:New Zealand   Staying institution name 1:Victoria University