Researchers Information System

日本語に切り替えるswitch to english

Ueki, Naomasa

Graduate School of Human and Environmental Studies, Department of Mathematical and Information Sciences Professor

Ueki, Naomasa
list
    Last Updated :2025/07/01

    Basic Information

    Faculty

    • 総合人間学部

    Professional Memberships

    • 国際数理物理学会
    • 日本数学会
    • International Association of Mathematical Physics
    • Mathematical Society of Japan

    Academic Degree

    • (Osaka University)
    • (Osaka University)

    Academic Resume (Graduate Schools)

    • Osaka University, 大学院理学研究科博士前期課程数学専攻, 修了

    Academic Resume (Undergraduate School/Majors)

    • Osaka City University(present: Osaka Metropolitan University), 理学部数学科, 卒業

    High School

    • High School

      奈良県立 奈良高等学校

    Research History

    • From 2013, To Present
      Kyoto University, Graduate School of Human and Environmental Studies, Professor
    • From 2007, To 2013
      - 京都大学准教授
    • From 1999, To 2013
      - Kyoto University, Associate Professor
    • From 1999, To 2007
      京都大学助教授
    • From 1995, To 1999
      Himeji Institute of Technology
    • From 1995, To 1999
      Himeji Institute of Techology(present: University of Hyogo), Associate Professor
    • From 1991, To 1995
      Himeji Institute of Technology
    • From 1991, To 1995
      Himeji Institute of Technology(present: University of Hyogo), Lecturer
    • From 1988, To 1991
      Osaka University
    • From 1988, To 1991
      Osaka University, Research Assistant

    Language of Instruction

    • English

    ID,URL

    Website(s) (URL(s))

    researchmap URL

    list
      Last Updated :2025/07/01

      Research

      Research Topics, Overview of the research

      • Research Topics

        Research on Schroedinger operators by Stochastic analysis
      • Overview of the research

        I analyze mathematical models describing phenomena in random media to understand rigorously the law controlling the phenomena. Main objects are random or deterministic Schroedinger operators. For example, we analyze its spectral distribution and structure by using analytical methods and stochastic methods for functional integrals.

      Research Interests

      • 確率解析
      • Stochastic analysis

      Research Areas

      • Natural sciences, Basic analysis

      Papers

      • A definition of self-adjoint operators derived from the Schrödinger operator with the white noise potential on the plane
        Naomasa Ueki
        Stochastic Processes and their Applications, Aug. 2025
      • Asymptotic behavior of the integrated density of states for random point fields associated with certain Fredholm determinants
        UEKI Naomasa
        Kyushu Journal of Mathematics, 2019, Peer-reviewed
      • Wegner estimates, Lifshitz tails, and Anderson localization for Gaussian random magnetic fields
        Naomasa Ueki
        JOURNAL OF MATHEMATICAL PHYSICS, Jul. 2016, Peer-reviewed
      • Wegner estimate for Gaussian random magnetic fields
        Naomasa Ueki
        JOURNAL OF FUNCTIONAL ANALYSIS, Oct. 2012, Peer-reviewed
      • Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
        Ryoki Fukushima; Naomasa Ueki
        JOURNAL OF FUNCTIONAL ANALYSIS, Feb. 2011, Peer-reviewed
      • Classical Behavior of the Integrated Density of States for the Uniform Magnetic Field and a Randomly Perturbed Lattice
        N. Ueki
        MARKOV PROCESSES AND RELATED FIELDS, 2011, Peer-reviewed
      • Classical and Quantum Behavior of the Integrated Density of States for a Randomly Perturbed Lattice
        Ryoki Fukushima; Naomasa Ueki
        ANNALES HENRI POINCARE, Dec. 2010, Peer-reviewed
      • WEGNER ESTIMATE AND LOCALIZATION FOR RANDOM MAGNETIC FIELDS
        Naomasa Ueki
        OSAKA JOURNAL OF MATHEMATICS, Sep. 2008, Peer-reviewed
      • On the integrated density of states of random Pauli Hamiltonians
        N Ueki
        JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Dec. 2004, Peer-reviewed
      • Wegner estimates and localization for Gaussian random potentials
        N Ueki
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2004, Peer-reviewed
      • Lifschitz tail of a random Pauli Hamiltonian with an anomalous magnetic moment
        Naomasa Ueki
        Japanese Journal of Mathematics, 2002, Peer-reviewed
      • Estimates on the heat kernel of the Pauli Hamiltonian and its application to problems on hypoellipticity of the (partial derivative)over-bar(b)-Laplacian
        N Ueki
        MATHEMATISCHE ZEITSCHRIFT, Jan. 2002, Peer-reviewed
      • Applications of the theory of the metaplectic representation to quadratic Hamiltonians on the two-dimensional Euclidean space
        H Matsumoto; N Ueki
        JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Apr. 2000, Peer-reviewed
      • Simple examples of Lifschitz tails in Gaussian random magnetic fields
        N Ueki
        ANNALES HENRI POINCARE, 2000, Peer-reviewed
      • Asymptotic expansion of stochastic oscillatory integrals with rotation invariance
        N Ueki
        ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, Jul. 1999, Peer-reviewed
      • Asymptotics of the infimum of the spectra of Schrödinger operators with magnetic fields
        N. Ueki
        Journal of Mathematics of Kyoto University, 1997, Peer-reviewed
      • Spectral analysis of Schrodinger operators with magnetic fields
        H Matsumoto; N Ueki
        JOURNAL OF FUNCTIONAL ANALYSIS, Aug. 1996, Peer-reviewed
      • Hypoellipticity for the ∂-Neumann problem on certain domains with infinite degeneracy
        Naomasa Ueki
        Japanese Journal of Mathematics, 1996, Peer-reviewed
      • ON SPECTRA OF RANDOM SCHRODINGER-OPERATORS WITH MAGNETIC-FIELDS
        N UEKI
        OSAKA JOURNAL OF MATHEMATICS, Mar. 1994, Peer-reviewed
      • LOWER BOUNDS FOR THE SPECTRA OF SCHRODINGER-OPERATORS WITH MAGNETIC-FIELDS
        N UEKI
        JOURNAL OF FUNCTIONAL ANALYSIS, Mar. 1994, Peer-reviewed
      • A PROBABILISTIC CONSTRUCTION OF THE HEAT KERNEL FOR THE PARTIAL-DERIVATIVE-NEUMANN PROBLEM ON A STRONGLY PSEUDOCONVEX SIEGEL DOMAIN
        N UEKI
        OSAKA JOURNAL OF MATHEMATICS, Dec. 1991, Peer-reviewed
      • A PROBABILISTIC PROOF OF THE GAUSS-BONNET-CHERN THEOREM FOR MANIFOLDS WITH BOUNDARY
        SHIGEKAWA, I; N UEKI; S WATANABE
        OSAKA JOURNAL OF MATHEMATICS, Dec. 1989, Peer-reviewed
      • A STOCHASTIC APPROACH TO THE POINCARE-HOPF THEOREM
        N UEKI
        PROBABILITY THEORY AND RELATED FIELDS, 1989, Peer-reviewed
      • A stochastic approach to the Riemann-Roch theorem
        Shigekawa, I; Ueki, N
        Osaka Journal of Mathematics, Dec. 1988, Peer-reviewed

      Misc.

      • Wegner estimate for Gaussian random magnetic fields (Applications of Renormalization Group Methods in Mathematical Sciences)
        Ueki Naomasa
        RIMS Kokyuroku, Jul. 2014

      External funds: Kakenhi

      • 確率解析によるランダムシュレディンガー作用素の研究
        Grant-in-Aid for Scientific Research (C)
        Basic Section 12010:Basic analysis-related
        Kyoto University
        上木 直昌
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        確率解析;微分方程式;作用素論;数理物理;ランダムシュレディンガー作用素;スペクトル;磁場;Anderson 局在;確率論;解析学;関数方程式論
      • Distribution of eigenvalues of random operators and related limit theorems
        Grant-in-Aid for Scientific Research (C)
        Keio University
        Nariyuki MINAMI
        From 01 Apr. 2014, To 31 Mar. 2018, Project Closed
        ランダム作用素;スペクトル統計;一般化シュレーディンガー作用素;感染症数理モデル;世代間隔;感染症モデリング
      • Probabilistic study on problems related with random Schroedinger operators
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Naomasa Ueki
        From 01 Apr. 2014, To 31 Mar. 2019, Project Closed
        確率解析;微分方程式;作用素論;数理物理;ランダムシュレディンガー作用素;スペクトル;リフシッツテール;ランダム点配置;確率偏微分方程式;ホワイトノイズ;アンダーソンモデル;Lifschitz tail;累積状態密度関数;Wegner 型評価;磁場
      • Study of spectral statistics for random operators in the framework of stationary point process theory
        Grant-in-Aid for Scientific Research (C)
        Keio University
        Nariyuki MINAMI
        From 01 Apr. 2010, To 31 Mar. 2014, Project Closed
        スペクトル統計;ランダム作用素;点過程;自己共役性;漸近エルゴード性;確率エアリー作用素;確率論;スペクトル理論;ランダム行列;数理物理;数理物理学;準位統計
      • The Boltzmann equation and nonlinear microlocal analysis
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Yoshinori MORIMOTO
        From 01 Apr. 2010, To 31 Mar. 2013, Project Closed
        ボルツマン方程式;衝突積分項;非切断近似;平滑効果;大域解;安定性;解の一意性;測度解;非線形超局所解析;non-cutoff;超局所解析;衝突積分作用素;時間大域解;平衡解への安定性;大域的平衡解
      • Level Statistics for Random Schroedinger Operators
        Grant-in-Aid for Scientific Research (C)
        Gakushuin University
        Fumihiko NAKANO
        From 01 Apr. 2010, To 31 Mar. 2014, Project Closed
        ランダムシュレーディンガー作用素;準位統計;ランダム行列;点過程;ベータアンサンブル;ランダムポテンシャル;確率微分方程式;ランダムシュレディンガー作用素;βアンサンブル;シュレーディンガー作用素;確率論
      • Probabilistic study on the spectra of random Schroedinger operators
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Ueki NAOMASA
        From 01 Apr. 2009, To 31 Mar. 2014, Project Closed
        確率解析;微分方程式;作用素論;数理物理;ランダムシュレディンガー作用素;スペクトル;Wegner 型評価;磁場;Wegner型評価;Lifshitz tail
      • Spectral and scattering theory of Schroedinger equations
        Grant-in-Aid for Scientific Research (A)
        The University of Tokyo
        Shu NAKAMURA
        From 01 Apr. 2009, To 31 Mar. 2014, Project Closed
        シュレディンガー方程式;スペクトル理論;散乱理論;半古典極限;ランダム作用素;解の超局所的特異性;函数方程式論;関数解析学;数理物理;関数方程式論
      • Microlocal analysis on Boltzmann equation
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Yoshinori MORIMOTO
        From 01 Apr. 2006, To 31 Mar. 2009, Project Closed
        ボルツマン方程式;衝突積分項;non-cutoff;平滑効果;湯川ポテンシャル;対数オーダー;Gevrey smoothing;ランダウ方程式;ultra-analytic;コルモゴロフ方程式;Uncertainty principle;Yukawa potential;Maxwellian;regularity;non cutoff;劣楕円型評価
      • Research on Spectra of Random Schrodinger Operators
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Naomasa UEKI
        From 01 Apr. 2006, To 31 Mar. 2008, Project Closed
        確率解析;微分方程式;作用素論;数理物理;ランダムシュレディンガー作用素;ランダム行列;スペクトル;シュレディンガー作用素, Stochastic Analysis;Differential Equations;Operator Theory;Mathematical Physics;Random Schrodinger Operators;Random Matrix;Spectrum;Schrodinger Operators
      • Spectrum of Random Schroedinger Operators
        Grant-in-Aid for Scientific Research (C)
        Kochi University
        Fumihiko NAKANO
        From 01 Apr. 2006, To 31 Mar. 2010, Project Closed
        ランダムシュレーディンガー作用素;アンダーソン局在;局在中心;アンダーソンモデル;点過程;ランダム磁場;無限分解可能点過程;確率論;ベーテ格子;ランダム測度
      • Study of the fluctuation of spectra of random operators
        Grant-in-Aid for Scientific Research (C)
        Keio University;University of Tsukuba
        Nariyuki MINAMI
        From 01 Apr. 2005, To 31 Mar. 2008, Project Closed
        準位統計;ランダム作用素;アンダーソンモデル;量子カオス;ゴルトン・ワトソン樹形図;分枝過程;数理物理;確率論;unfolding;Galton-Watson樹形図;局所極限定理, level statistics;random operators;quantum chaos;Anderson model;branching process;Galton-Watson tree
      • Stochastic analysis in infinite dimensional spaces
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Ichiro SHIGEKAWA
        From 01 Apr. 2005, To 31 Mar. 2009, Project Closed
        Wiener 空間;Brown 運動;拡散過程;対数Sobolev 不等式;スペクトルギャップ;格子スピン系;Hodge-Kodaira 作用素;Hodge-Kodaira作用素;超縮小性;非対称半群;リーマン多様体;不変測度;ブラウン運動;確率解析;Wiener空間;スペクトルの跳び;Witten Laplacian;Wiener測度;対数Sobolev不等式;Dirichlet形式
      • Research on Problems Related to Random Schrodinger Operators
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Naomasa UEKI
        From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
        random Schrodinger作用素;確率解析;作用素論;スペクトル;Anderson局在;確率場;微分方程式;Wegner評価;Wenger評価;状態密度関数;random Shrodinger作用素, Random Schrodinger Operators;Stochastic Analysis;Operator Theory;Spectrum;Anderson Localization;Random Field;Differential Equations;Wegner Estimates
      • Integrable systems with higher genus spectral parameter
        Grant-in-Aid for Scientific Research (C)
        KYOTO UNIVERSITY
        Kanehisa TAKASAKI
        From 01 Apr. 2002, To 31 Mar. 2004, Project Closed
        可積分系;ソリトン方程式;代数曲線;高種数;ベクトル束;Tyurinパラメータ;Grassmann多様体;種類;モジュライ空間;可換微分作用素対;共形場理論, integrable system;soliton equation;algebraic curve;higher genus;vector bundle;Tyurin parameter;Grassmann manifold
      • randomな磁場のあるSchrodinger作用素に関連する問題の研究
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        上木 直昌
        From 01 Apr. 2001, To 31 Mar. 2003, Project Closed
        random Schrodinger作用素;状態密度関数;Pauli Hamiltonian;磁場;Gauss型確率場;確率解析;作用素論;微分方程式;Wegner型評価;spectral localization
      • Classical and quantum theory of finite-dimensional integrable systems
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Kanehisa TAKASAKI
        From 01 Apr. 2000, To 31 Mar. 2002, Project Closed
        可積分系;等モノドロミー変形;パンルヴェ方程式;スペクトル曲線;変数分離法;ハミルトン構造;量子可解性;モジュライ空間;変数分離;K3曲面;有理楕円曲面;Calogero系;Ruijsenaars系, integrable system;isomonodromy;Painleve equation;spectral curve;separation of variables;Hamiltonian structure;quantum solvability;moduli space
      • Stochastic Analysis and its application to differential operators
        Grant-in-Aid for Scientific Research (C)
        NAGOYA UNIVERSITY
        Hiroyuki MATUMOTO
        From 01 Apr. 2000, To 31 Mar. 2003, Project Closed
        ピットマンの定理;指数型ウィナー汎関数;幾何ブラウン運動;大偏差原理;多次元ブラウン運動;レヴィの定理;熱核;グリーン関数;双曲空間;ウィナー汎関数;ベッセル過程;ブラウン運動;メタプレクティック表現;対称空間, Brownian motion;Wiener functionals;Mathematical finance;Hyperbolic spaces;Pitman's theorem;Levy's theorem;Laplacian
      • the positivity of degenerate elliptic operators and the microlocal analysis on solutions for partial differentiai equations
        Grant-in-Aid for Scientific Research (B)
        KYOTO UN IVERSITY
        Yoshinori MORIMOTO
        From 01 Apr. 2000, To 31 Mar. 2004, Project Closed
        無限次退化;超局所解析;対数型Sobolev不等式;半線形Diriclet問題;Fefferman-Phong不等式;Schrodinger方程式;準楕円性;Wick calculus;退化Monge-Ampere方程式;対数型ソボレフ不等式;最大値原理;Schodinger方程式;key wards;Wick作用素;楕円型方程式;双極性;対数型;sololev不等式;半線型楕円型方程式;schodinger方程式;強一意性定理;双曲型方程式, infinitely degenerate;microlocal analysis;Sobolev inequality of logarithmic type;semiliner Dirichlet problem;Fefferman-Phong inegality;Schrodinger equation;hypaellipticity;Wick calculus
      • Wiener空間上の解析と関連する微分方程式の研究
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Kyoto University
        上木 直昌
        From 01 Apr. 1999, To 31 Mar. 2001, Project Closed
        確率解析;Wiener積分;random Schrodinger作用素;漸近挙動;density of states;磁場;Pauli Hamiltonian;スペクトル;熱方程式;準楕円性;無限次退化;^^-∂ーNeumann問題;^^-∂^bーLaplacian
      • Multilateral research of stochastic analysis in infinite dimensional spaces
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Ichiro SHIGEKAWA
        From 01 Apr. 1999, To 31 Mar. 2002, Project Closed
        半群の優評価;半群の交換関係;平方場作用素;Litlewood-Paley不等式;乗法作用素;第2基本形式;Hodge-Kodaira作用素;対数Sobolev不等式;Littlewood-Paley不等式;ブラウン運動;半群の比較;Schrodinger作用素;生成作用素の定義域;Riesz変換;Brown運動;Dirichlet形式;反射壁Brown運動;基本解;準楕円性, semigroup domination;interturning property;square field operator;Littlewood-Paley ineguality;multiplier;second fundamental form;Hodge-Kodaira opoerator;logarithmic Sobolev ineguality
      • 確率振動積分の漸近挙動の研究
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Himeji Institute of Technology
        上木 直昌
        From 01 Apr. 1997, To 31 Mar. 1999, Project Closed
        確率振動積分;漸近挙動;Schrodinger作用素;磁場;スペクトル;metaplaectic表現;Wiener積分;確率解析;ランダムポテンシャル;Lifschitz tail
      • Stochastic analysis and its application to analysis of Schrodinger operators
        Grant-in-Aid for Scientific Research (C)
        Nagoya University
        Hiroyuki MATSUMOTO
        From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
        ポアンカレ上半平面;確率微分方程式;ウィナー汎関数;マースのラプラシアン;幾何ブラウン運動;ブラウン運動;ラプラシアン;セルバーグ跡公式;メタプレクティック表現;確率解析;シュレディンガー作用素;古典力学, Poincare upperhalf plane;Stochastic differential equation;Wiener functional;Maass Laplacian;geometric Brownian motion
      • Construction of the fundamental solution for equations of parabolic type and its applications to geometric problems
        Grant-in-Aid for Scientific Research (C)
        Himeji Institute of Technology
        Chisato IWASAKI
        From 01 Apr. 1997, To 31 Mar. 1999, Project Closed
        放物型方程式;基本解;擬微分作用素;リーマン・ロッホの定理;ガウル-ボンネ-チャーンの定理;表象計算;多様体の曲率;ケーラー多様体;スペクトル;トッドクラス;リーマン多様体, paroboloc differential eqation;fundamental solution;pseudo-differential operator;Riemann Roch theorem;Gauss-Bonnet-Chern theorem;symbolic calculus;curvature of manifold;Kaehler manifold
      • Stochastic Model of Floating Interest rate and positive research
        Grant-in-Aid for Scientific Research (B)
        ATHE UNIVERSITY OF TOKYO
        Shigeo KUSUOKA
        From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
        変動金利;金利モデル;デフォルト リスク;数理ファイナンス;拡散モデル;確率偏微分方程式;ハザード率;確率解析;数値計算;マリアバン・カリキュラス;リー環;確率テイラー展開;デリバディブ;変動金利モデル;クレジットデリバティブ;ハザードレート;確率変動;確率偏微分方程, floating interest rate;interest rate model;default risk;mathematical finance;diffusion model
      • 相対論的シュレディンガー作用素のレゾルベント
        Grant-in-Aid for General Scientific Research (C)
        Himeji Institute of Technology
        楳田 登美男
        From 01 Apr. 1995, To 31 Mar. 1996, Project Closed
        スペクトル理論;相対論的シュレディンガー作用素;レゾルベント評価;放射条件;散乱理論
      • 弱擬凸CR多様体上のアブストラクト∂bの局所可解性
        Grant-in-Aid for General Scientific Research (C)
        Himeji Institute of Technology
        赤堀 隆夫
        From 01 Apr. 1994, To 31 Mar. 1995, Project Closed
        CR構造;独立特異点
      • Dirac作用素のスペクトル散乱理論
        Grant-in-Aid for General Scientific Research (C)
        Himeji Institute of Technology
        楳田 登美男
        From 01 Apr. 1994, To 31 Mar. 1995, Project Closed
        スペクトル理論;Dirac作用素;レゾルベント評価;放射条件;散乱理論
      • 磁場のあるSchrodinger作用素の研究とその確率論への応用
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Himeji Institute of Technology
        上木 直昌
        From 01 Apr. 1993, To 31 Mar. 1994, Project Closed
        Schrodinger作用素;magnetic field;スペクトル;確率解析;漸近挙動;transverse analiticity
      • 放物型混合問題に対する基本解の表象と指数定理について
        Grant-in-Aid for General Scientific Research (C)
        Himeji Institute of Technology
        岩崎 千里
        From 01 Apr. 1993, To 31 Mar. 1994, Project Closed
        指数定理;ガウス-ボンネ-チャーンの定理;リーマン-ロッホの定理;基本解;擬微分作用素;表象計算;放物型作用素
      • 関数解析的・確率論的方法による複素解析の研究
        Grant-in-Aid for General Scientific Research (C)
        Himeji Institute of Technology
        吉岡 恒夫
        From 01 Apr. 1992, To 31 Mar. 1993, Project Closed
        補間問題;擬微分作用素;表象計算;指数定理;抽象的発展方程式;放物型;シュレディンガー作用素;ランダムな磁場
      • 確率解析と漸近理論の諸問題
        Grant-in-Aid for General Scientific Research (C)
        Osaka University
        池田 信行
        From 01 Apr. 1989, To 31 Mar. 1990, Project Closed
        確率解析;漸近理論;Wiener空間;熱方程式;Malliavin calculus;振動積分;Schrodinger作用素;極限定理
      • ランダムシュレディンガー作用素の確率解析的研究
        Grant-in-Aid for Scientific Research (C)
        Basic Section 12010:Basic analysis-related
        Kyoto University
        上木 直昌
        From 01 Apr. 2025, To 31 Mar. 2030, Granted
        確率論;解析学;関数方程式論;数理物理;ランダムシュレディンガー作用素
      list
        Last Updated :2025/07/01

        Education

        Teaching subject(s)

        • From 01 Apr. 2025, To 31 Mar. 2026
          Mathematical Statistics
          N803, Fall, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Elementary Probability
          N131, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Fundamentals for Transdisciplinary Research 1
          M226, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Research in Mathematical Science
          8269, Year-long, Faculty of Integrated Human Studies, 8
        • From 01 Apr. 2025, To 31 Mar. 2026
          Human Coexistence II
          1002, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2025, To 31 Mar. 2026
          Human Coexistence I
          1001, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2025, To 31 Mar. 2026
          Research in Human and Environmental Studies I
          KK22, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2025, To 31 Mar. 2026
          Research in Human and Environmental Studies II
          KK23, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2025, To 31 Mar. 2026
          Basic Mathematics B
          N123, Fall, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2025, To 31 Mar. 2026
          Basic Mathematics A
          N122, Spring, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2025, To 31 Mar. 2026
          Applied Analysis B
          8205, Fall, Faculty of Integrated Human Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Introduction to Mathematical and Information Sciences
          0060, Spring, Faculty of Integrated Human Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Mathematics of Phenomena 1B
          AA09, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Mathematics of Phenomena 1A
          AA08, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Analysis of Mathematical Phenomena 2
          AA04, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Advanced Studies of Human Coexistence II
          O002, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Advanced Studies of Human Coexistence I
          O001, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Fundamentals for Transdisciplinary Research 1
          KK02, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Basic Seminar on Mathematical Sciences
          AA01, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Special seminar on mathematics of phenomena 1
          O021, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Special Seminar in Human and Environmental Studies
          RR07, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Advanced Research in Human and Environmental Studies I
          RR03, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Special seminar on mathematical science
          O034, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Special seminar on mathematics of phenomena 2
          O022, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Advanced Seminar in Human and Environmental Studies 2
          RR06, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Advanced Seminar in Human and Environmental Studies 1
          RR05, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Advanced Research in Human and Environmental Studies II
          RR04, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Mathematical Statistics
          N803, Fall, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Elementary Probability
          N131, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Calculus I - Vector Calculus
          N124, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Research in Mathematical Science
          8269, Year-long, Faculty of Integrated Human Studies, 8
        • From 01 Apr. 2024, To 31 Mar. 2025
          Human Coexistence II
          1002, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2024, To 31 Mar. 2025
          Human Coexistence I
          1001, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2024, To 31 Mar. 2025
          Research in Human and Environmental Studies II
          KK23, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2024, To 31 Mar. 2025
          Research in Human and Environmental Studies I
          KK22, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2024, To 31 Mar. 2025
          Basic Mathematics A
          N122, Spring, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2024, To 31 Mar. 2025
          Basic Mathematics B
          N123, Fall, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2024, To 31 Mar. 2025
          Introduction to Mathematical and Information Sciences
          0060, Spring, Faculty of Integrated Human Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Special seminar on mathematical science
          O034, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Special seminar on mathematics of phenomena 2
          O022, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Special seminar on mathematics of phenomena 1
          O021, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Seminar in Human and Environmental Studies 1
          RR05, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Research in Human and Environmental Studies II
          RR04, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Research in Human and Environmental Studies I
          RR03, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Mathematics of Phenomena 1B
          AA09, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Mathematics of Phenomena 1A
          AA08, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Basic Seminar on Mathematical Sciences
          AA01, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Studies of Human Coexistence II
          O002, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Studies of Human Coexistence I
          O001, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Fundamentals for Transdisciplinary Research 1
          KK02, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Seminar in Human and Environmental Studies 2
          RR06, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Special Seminar in Human and Environmental Studies
          RR07, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Calculus I - Vector Calculus
          N124, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Elementary Probability
          N131, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Mathematical Statistics
          N803, Fall, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Reserch in Mathematical Science
          8269, Year-long, Faculty of Integrated Human Studies, 8
        • From 01 Apr. 2023, To 31 Mar. 2024
          Basic Mathematics B
          N123, Fall, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2023, To 31 Mar. 2024
          Basic Mathematics A
          N122, Spring, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2023, To 31 Mar. 2024
          Research in Human and Environmental Studies I
          KK22, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2023, To 31 Mar. 2024
          Human Coexistence II
          1002, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2023, To 31 Mar. 2024
          Human Coexistence I
          1001, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2023, To 31 Mar. 2024
          Research in Human and Environmental Studies II
          KK23, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2023, To 31 Mar. 2024
          Applied Analysis B
          8205, Fall, Faculty of Integrated Human Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Introduction to Mathematical Information Science
          0057, Spring, Faculty of Integrated Human Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Fundamentals for Transdisciplinary Research 1
          KK02, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Mathematics of Phenomena 1B
          AA09, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Mathematics of Phenomena 1A
          AA08, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Special seminar on mathematics of phenomena 1
          O021, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Studies of Human Coexistence II
          O002, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Studies of Human Coexistence I
          O001, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Analysis of Mathematical Phenomena 2
          AA04, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Special Course on Mathematical Sciences
          AA02, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Basic Seminar on Mathematical Sciences
          AA01, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Special Seminar in Human and Environmental Studies
          RR07, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Research in Human and Environmental Studies I
          RR03, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Special seminar on mathematical science
          O034, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Special seminar on mathematics of phenomena 2
          O022, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Seminar in Human and Environmental Studies 2
          RR06, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Seminar in Human and Environmental Studies 1
          RR05, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Research in Human and Environmental Studies II
          RR04, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Mathematics of Phenomena 1A
          D026, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Mathematical Statistics
          N803, Fall, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Human Coexistence II
          1002, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2022, To 31 Mar. 2023
          Human Coexistence I
          1001, Year-long, Graduate School of Human and Environmental Studies, 4
        • From 01 Apr. 2022, To 31 Mar. 2023
          Elementary Probability
          N131, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Basic Mathematics B
          N123, Fall, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Mathematics of Phenomena 1B
          D027, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Advanced Studies of Human Coexistence II
          O002, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Advanced Studies of Human Coexistence I
          O001, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Basic Mathematics A
          N122, Spring, Institute for Liberal Arts and Sciences, 4
        • From 01 Apr. 2022, To 31 Mar. 2023
          Reserch in Mathematical Science
          8269, Year-long, Faculty of Integrated Human Studies, 8
        • From 01 Apr. 2022, To 31 Mar. 2023
          Introduction to Mathematical Information Science
          0057, Spring, Faculty of Integrated Human Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Special seminar on mathematics of phenomena 2
          O022, Fall, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Special seminar on mathematical science
          O034, Year-long, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Special seminar on mathematics of phenomena 1
          O021, Spring, Graduate School of Human and Environmental Studies, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Basic Seminar on Mathematical Sciences
          D014, Spring, Graduate School of Human and Environmental Studies, 2
        • Probability Theory
          Spring, 工学部、農学部
        • Mathematical Statistic
          Fall, 工学部
        • Advanced Calculus A
          Spring, 工学部、農学部
        • Advanced Calculus B
          Fall, 工学部、農学部
        • Real Analysis AB
          総合人間学部
        • From Apr. 2011, To Mar. 2012
          Advanced Calculus A
          Spring, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          Advanced Calculus B
          Fall, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          Probability Theory
          Spring, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          Probability Theory
          Spring, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          実解析A
          Spring, 総合人間学部
        • From Apr. 2011, To Mar. 2012
          実解析B
          Fall, 総合人間学部
        • From Apr. 2011, To Mar. 2012
          数理科学論講究
          Year-long, 総合人間学部
        • From Apr. 2011, To Mar. 2012
          言語・数理情報科学入門
          Spring, 総合人間学部
        • From Apr. 2011, To Mar. 2012
          現象数理論演習2
          Fall, 人間・環境学研究科
        • From Apr. 2011, To Mar. 2012
          現象数理論演習1
          Spring, 人間・環境学研究科
        • From Apr. 2011, To Mar. 2012
          数理現象解析論2
          Fall, 人間・環境学研究科
        • From Apr. 2012, To Mar. 2013
          Advanced Calculus A
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Advanced Calculus B
          Fall, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2012, To Mar. 2013
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Probability Theory
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Advanced Linear Algebra
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2013, To Mar. 2014
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2013, To Mar. 2014
          Real Analysis A
          Spring, 総合人間学部
        • From Apr. 2013, To Mar. 2014
          Real Analysis B
          Fall, 総合人間学部
        • From Apr. 2013, To Mar. 2014
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2013, To Mar. 2014
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2013, To Mar. 2014
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2013, To Mar. 2014
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Mathematics of Phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Mathematics of Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2013, To Mar. 2014
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2013, To Mar. 2014
          Advanced Calculus I - Vector Calculus
          Spring, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Advanced Calculus II - Differential Equations
          Fall, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Probability Theory
          Spring, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2014, To Mar. 2015
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2014, To Mar. 2015
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Mathematics of Phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Mathematics of Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2014, To Mar. 2015
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Advanced Calculus II - Differential Equations
          Fall, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Probability Theory
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Real Analysis A
          Spring, 総合人間学部
        • From Apr. 2015, To Mar. 2016
          Real Analysis B
          Fall, 総合人間学部
        • From Apr. 2015, To Mar. 2016
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2015, To Mar. 2016
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Seminar on Mathematics of Phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Mathematics of Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2015, To Mar. 2016
          Probability Theory
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Linear Algebra B
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2016, To Mar. 2017
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Basic Mathematics A
          Spring, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Basic Mathematics B
          Fall, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2016, To Mar. 2017
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Seminar on Mathematics of Phenomena 1A
          Spring, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Mathematics of Phenomena 1B
          Fall, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2016, To Mar. 2017
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Advanced Linear Algebra
          Spring, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2017, To Mar. 2018
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Basic Mathematics A
          Spring, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Basic Mathematics B
          Fall, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Applied Analysis B
          Fall, 総合人間学部
        • From Apr. 2017, To Mar. 2018
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2017, To Mar. 2018
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Seminar on Mathematics of Phenomena 1A
          Spring, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Mathematics of Phenomena 1B
          Fall, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2017, To Mar. 2018
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Basic Mathematics A
          Spring, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Basic Mathematics B
          Fall, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2018, To Mar. 2019
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Seminar on Mathematics of Phenomena 1A
          Spring, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Mathematics of Phenomena 1B
          Fall, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2018, To Mar. 2019
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2019, To Mar. 2020
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Calculus with Exercises A
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Basic Mathematics A
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Basic Mathematics B
          Fall, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Applied Analysis B
          Fall, 総合人間学部
        • From Apr. 2019, To Mar. 2020
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2019, To Mar. 2020
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Seminar on Mathematics of Phenomena 1A
          Spring, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Mathematics of Phenomena 1B
          Fall, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2019, To Mar. 2020
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2020, To Mar. 2021
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Basic Mathematics A [For liberal arts students]
          Spring, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Basic Mathematics B [For liberal arts students]
          Fall, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2020, To Mar. 2021
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Seminar on Mathematics of Phenomena 1A
          Spring, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Mathematics of Phenomena 1B
          Fall, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2020, To Mar. 2021
          Elementary Probability
          Spring, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Introduction to Linguistic and Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2021, To Mar. 2022
          Advanced Studies of Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Advanced Studies of Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Human Coexistence I
          Year-long, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Human Coexistence II
          Year-long, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Basic Mathematics A [For liberal arts students]
          Spring, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Basic Mathematics B [For liberal arts students]
          Fall, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Introduction to Mathematical Information Science
          Spring, 総合人間学部
        • From Apr. 2021, To Mar. 2022
          Analysis of Mathematical Phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Applied Analysis B
          Fall, 総合人間学部
        • From Apr. 2021, To Mar. 2022
          Basic Seminar on Mathematical Sciences
          Spring, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Special seminar on mathematical science
          Year-long, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Reserch in Mathematical Science
          Year-long, 総合人間学部
        • From Apr. 2021, To Mar. 2022
          Mathematical Statistics
          Fall, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Seminar on Mathematics of Phenomena 1A
          Spring, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Mathematics of Phenomena 1B
          Fall, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Special seminar on mathematics of phenomena 1
          Spring, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Special seminar on mathematics of phenomena 2
          Fall, 人間・環境学研究科
        • From Apr. 2021, To Mar. 2022
          Elementary Probability
          Spring, 全学共通科目

        Participation in PhD Defense

        • Continuity and connectivity of the Julia Sets for perturbations of semi-parabolic H■non maps(半放物型エノン写像の摂動におけるジュリア集合の連続性と連結性)
          YAGI TAKUMI, Graduate School of Human and Environmental Studies, Sub-chief Examiner
          24 Mar. 2025
        • Direct and inverse quantum scattering problems in electromagnetic fields
          TSUJII YUUTA, Graduate School of Human and Environmental Studies, Sub-chief Examiner
          25 Mar. 2024
        • Transversal family of non-autonomous conformal iterated function systems and the connectedness locus in the parameter space
          NAKAJIMA YUTO, Graduate School of Human and Environmental Studies, Sub-chief Examiner
          23 Mar. 2022
        list
          Last Updated :2025/07/01

          Administration

          School management (title, position)

          • From 01 Apr. 2025, To 31 Mar. 2026
            国際高等教育院 企画評価専門委員会 数学部会
          • From 01 Apr. 2024, To 31 Mar. 2025
            国際高等教育院 企画評価専門委員会 数学部会
          • From 18 Jul. 2013, To 30 Apr. 2017
            国際高等教育院 企画評価専門委員会 数学部会 委員

          Faculty management (title, position)

          • From 01 Apr. 2024, To 31 Mar. 2025
            学部入試委員会 委員
          • From 01 Apr. 2023, To 31 Mar. 2024
            大学院教務委員会 委員
          • From 01 Apr. 2023, To 31 Mar. 2024
            数理・情報科学講座教務担当 委員
          • From 01 Apr. 2011, To 31 Mar. 2012
            講座教務委員
          • From 01 Apr. 2011, To 31 Mar. 2012
            大学院教務委員会
          • From 01 Apr. 2013, To 31 Mar. 2014
            学生生活委員
          • From 01 Apr. 2013, To 31 Mar. 2014
            学生生活委員会委員
          • From 01 Apr. 2014, To 31 Mar. 2015
            中期目標・中期計画書作成作業委員会委員
          • From 01 Apr. 2014, To 31 Mar. 2015
            数理科学講座主任
          • From 01 Apr. 2014, To 31 Mar. 2015
            講座主任
          • From 01 Apr. 2014, To 31 Mar. 2015
            中期目標・中期計画書作成作業委員会委員
          • From 01 Apr. 2016, To 31 Mar. 2017
            講座主任
          • From 01 May 2016, To 31 Mar. 2017
            国際高等教育員 企画評価専門委員会 分野別部会委員
          • From 01 Apr. 2017, To 30 Apr. 2017
            国際高等教育員 企画評価専門委員会 分野別部会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            講座分野責任者
          • From 01 Apr. 2019, To 31 Mar. 2020
            大学院入試委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            学部教務委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            認知情報学系主任
          • From 01 Apr. 2019, To 31 Mar. 2020
            講座主任
          • From 01 Apr. 2020, To 31 Mar. 2021
            数理科学講座講座主任
          • From 01 Apr. 2020, To 31 Mar. 2021
            大学院入試委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            学部教務委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            認知情報学系学系主任
          • From 01 Apr. 2021, To 31 Mar. 2022
            学部入試委員会委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            現象数理論分野講座分野責任者
          • From 01 Apr. 2022, To 31 Mar. 2023
            大学院教務委員会 委員
          • From 01 Apr. 2022, To 31 Mar. 2023
            数理科学講座 委員
          • From 01 Apr. 2022, To 31 Mar. 2023
            現象数理論分野 講座分野責任者

          ページ上部へ戻る