博士論文一覧

博士論文

平成22年度

氏 名論 文 題 目

久保 隆貴A Symbolic-Numeric Study of Extended Hensel Construction(拡張ヘンゼル構成の数式・数値的研究)

清水 健一On gauge invariants of Hopf algebras(ホップ代数のゲージ不変量について)

三石 史人Geometry of Alexandrov spaces(アレクサンドロフ空間の幾何学)

石坂 敢也Energy Minimization and Point Distribution(エネルギー最小化と点分散について)

?田 倫郎A Classification of Completely Quasi-reducible Prehomogeneous Vector Spaces of Some Type(ある種の完全擬可約な概均質ベクトル空間の分類)

牧 徳達On applications of prehomogeneous vector spaces(概均質ベクトル空間の応用について)

安保 勇希A study on generic structures, existentially closed models, and random bijections(ジェネリック構造,存在閉モデル,およびランダム全単射についての研究)

平成21年度

氏 名論 文 題 目

横田 巧Comparison geometry of ancient solutions to the Ricci flow

大倉 安孝Computer Algebra on Lattices

藤田 力Expansivity on Dynamical systems

村田 駿祐Universal Enveloping Algebras of Low Dimensional Lie Algebras, Bernoulli Numbers and Uq(sl2)

矢田 和善Effective Methodologies in Statistical Inference with Low Sample Size Data


論文博士

氏 名論 文 題 目

照井 章Symbolic-Numeric Algorithms for Univariate Polynomials

平成20年度

氏 名論 文 題 目

大内 将也Classification of Reductive Prehomogeneous Vector Spaces of some type

小副川 健A Study on Computer Algebra

上別府 陽Topology of box complexes of graphs

早乙女 飛成Differential Geometric Study of Strongly Pseudo-Convex Manifolds

冨江 雅也A generalization of Chebyshev polynomials and nonrooted posets

松本 正光Dimension and Special Metrics

平成19年度

氏 名論 文 題 目

嶺 幸太郎Topological manifolds modeled on infinite-dimensional spaces

芦原 崇裕On vertex operator algebras whose Griess algebras are Jordan algebras

神吉 知博A Classification of Prehomogeneous Vector Spaces of Some Class

酒井 洋介Tiled orders over a discrete valuation ring and Frobenius full matrix algebras with structure systems

讃岐 勝A study of the approximate GCD

土橋 大介Groups and Lie algebras associated with one dimensional tilings

阿部 弘樹Derived equivalences for Gorenstein algebras

平成18年度

氏 名論 文 題 目

坂口 英之General Linear Groups over Certain Completed Quantum Tori

宍戸 雄一Differential Geometry of the Fisher Information Metric and the Space of Probability Measures

山瀬 尊久The Geometry of Three-Dimensional Seiberg-Witten Theory

藤野 直樹Singular Limits of Scalar Conservation Laws

鈴木 宣哉Models of Peano Arithmetic as Modules over Initial Segments and Quantifier Elimination Results for Products of Ordered Abelian Groups

平成17年度

氏 名論 文 題 目

竹田 大佑A Classification of Irreducible Weakly Spherical Homogeneous Spaces

高橋 真生Representations of Normalizer Subgroup of Maximal Tori of the Classical Group of Type C

舞原 寛祐Set Estimation Procedures in Testing and Multiple Decision Problem

山内 貴光Selection Theorems on Realcompact Spaces and Finitistic Spaces

川口 慎二A Study of Absolute Embeddings on Relative Topological Properties

中川 知巳Volume Entropy, Geometry of Ideal Boundary, and Symmetry of Nonpositively Curved Manifolds

松橋 英市On Approximation Theorems of Maps from Compacta to Polyhedra

小川 琢磨Analogies between Circular Functions and Lemniscate Functions from a Viewpoint of Number Theory

平成16年度

氏 名論 文 題 目

天野 勝利Relative invariants, difference equations, and the Picard-Vessoit theory

稲葉 大樹A study on multivariate polynomial factorization and analytic continuation

岩見 真希A study on the analytic factorization of multivariate polynomials

矢口 雅人Hyperspaces of infinite-dimensional spaces

和田 浩吉On some properties of the second plurigenera of normal surface singularities

平成15年度

氏 名論 文 題 目

米田 郁生CM-trivialilty and Hrushovski's Generic Construction

佐藤 弘康Integrability of Almost Kaehler Structures and an Isolation Theorem of the Weyl Conformal Tensor

名倉 誠A Reduction Theory of Representations Associated with Finite Type Quivers

藤上 雅樹A Characterization for Local Zeta Functions of Polynomials Satisfying a Certain Assumption

山内 博A Theory of Simple Current Extensions of Vertex Operator Algebras and Applications to the Moonshine Vertex Operator Algebra

大谷内 奈穂Information Inequalities for the Bayes Risk of Estimators in Non-Regular Cases

河合 伸一Ratio Estimation and the Approximation of Moments

平田 康史Subnormality and Mild Normality in Products of Ordinal Numbers

檀 裕也On the Cauchy Problem for Schroedinger Type Equations

佐藤 敦On the System of Nonlinear Hyperbolic Equations Appearing in the Natural Science and the Engineering

黒川 友紀The Lifespan of Solution to Systems of Semilinear Wave Equations

平成14年度

氏 名論 文 題 目

酒井 高司Group Actions and Integral Geometry

加藤 義明On Derived Equivalent Algebras

湯澤 泰生On the Cauchy Problem for Weakly Hyperbolic Equations

佐久間 伸也Vertex Operator Algebras with Two τ-involutions Generating S3

小林 善司ルート系と符号の自己同型とその応用

平成13年度

氏 名論 文 題 目

中澤 宣雄On Hypoellipticity for Pseudodifferential Operators

青木 充Some Decision Procedures for Comparison Problems

佐垣 大輔Crystal Bases, Path Models, and a Twining Character Formula for Demazure Modules

飛田 英祐Statistical Interval Prediction and Approximations to the Discrete Distributions

本田 寛伸The Cauchy Problem for Parabolic Equation

坂本 晋子Quasicrystals and Sturmian Words

津田 美幸The Bioequivalence Problem and the Quantum Estimation

杉山 和成b-Functions of Simple and2-Simple Prehomogeneous Vector Spaces

長坂 耕作A Study on the Approximate Multivariate Factorization

鎌田 保雄The Algorithm to Calculate the Period Matrix of the Curvexm+yn=1

対島浩司On the Invariant Ring of a Certain Finite Group and Modular Forms

P.T. ペネヴァOn Some Additive Problems in Analytic Number Theory