博士論文一覧

博士論文

令和2年度

氏名　　　　　 論文題目
伊敷　喜斗

On metric geometry of convergences and topological distributions of metric　　　　structures
佐々木　優 A study on maximal antipodal sets of compact symmetric spaces
島田　祐汰

Twisted forms of differential Lie algebras over $\mathbb{C}(t)$ associated with　　　　　　　　complex simple Lie algebras

令和3年度

氏名 論文題目
池　泊明 Algorithms for Calculating Approximate Greatest Common Divisorof Univariate
Polynomials  (1変数多項式の近似最大公約子の計算アルゴリズム）

菅原 隆介

 A Matsumoto type theorem for linear groups over rings of non-commutative
Laurent polynomials  (非可換ローラン多項式環上の線形群に対する松本型定理）
日浅 龍太 Combinatorial realizations of the crystal bases for extremal weight modules
over quantized hyperbolic Kac-Moody algebras of rank 2　(ランク2双曲型量子群上
のエクストリーマル・ウェイト加群に対する結晶基底の組合せ論的実現)
茂木 祐紀 Combinatorics related to Weyl groups, Young diagrams, and some special weights
(ワイル群, ヤング図形, および いくつかの特別なウェイトに関する組み合わせ論)

令和元年度

氏　名 論　文　題　目
安福　智明 A study on Combinatorial Games
中山　優吾 Support vector machine in high-dimension low-sample size settings

平成10年度

氏　名論　文　題　目
佐藤 尊文Conformal flatness and self-duality of circle bundle metrics
陣 懐鵬On quotients-images of metric
上原 成功Multi-valued function spaces and compactifications of function spaces
北本 卓也Approximate algebra and its application to control system designs
森下 和彦Mappings on function spaces
鈴木登志雄Computational complexity of Boolean formulas with query symbols
石井 直紀On Riemann-Roch graphs and coverings overd-gonal curves

平成11年度

氏　名論　文　題　目
新井 達也Regular continua constructed by P-expansive maps of one-dimensional continua
大谷 信一Classification of semisimple finite prehomogeneous vector spaces and simple weakly spherical homogeneous spaces
金坂 尚礼Explicit structures of three-dimensional hypersurface purely elliptic singularities of type (0,1)
高橋 邦彦Higher order approximations for the statistical procedures
西平 祐治Sufficiency in the sequential experimentation
木下 保On the Cauchy problem for the weakly hyperbolic equations

平成12年度　

氏　名論　文　題　目
菅野 貴弘対称R空間の標準埋め込み上の錐の面積最小性
姜 洪在リーマン等質空間上の積分幾何学
保坂 哲也コクセター群とその境界
藤澤 敦子超曲面純楕円型特異点の定義多項式について
山崎 薫里積空間における写像の拡張

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

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23年度

氏　名論　文　題　目
黒澤　恵光On a classification of reductive prehomogeneous vector spaces of some type (ある種の簡約可能概均質ベクトル空間の分類について)
金　佼?Minimum Variance Unbiased Estimation and Loss of Information （最小分散不偏推定及び情報損失）
浅井　康友Universal central extensions and Schur multipliers derived from loop groups SL2(F[X, X-1]) （ループ群 SL2(F[X, X-1])の普遍中心拡大およびシュアー乗法因子群について)
竹内　耕太A study of types and definable sets in first order structures （一階の構造におけるタイプと定義可能集合についての研究）

平成24年度

氏　名論　文　題　目
安藤 和典Spectral theory for Schr\"odinger operators -- Random potential of Poisson type on Euclidean spaces, perturbation with uniform radial potential on the $ d $-regular tree and inverse scattering theory on the hexagonal lattice --
Ryu InhyunUniversal transitivity of some prehomogeneous vector spaces
石井 佑来美A classification of prehomogeneous vector spaces associated with exceptional Dynkin quivers by tilting modules
古賀 寛尚Derived equivalences and invariants
森岡 悠On inverse spectral problems for discrete Schr\"odinger operators on the squre lattice and related topics

平成25年度

氏　名論　文　題　目
石井 基裕Semi-infinite Lakshimibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras
金子 寛A method for finding a minimal point of the lattice in cubic number fields
越野 克久Infinite-dimensional manifolds and their pairs
福田 尚広On the construction of wavelets and its application to numerial analysis of differential equations
楊 寒彪
Homeomorphisms and metrizations of function spaces with infinite-dimensional topology

平成27年度

　　　　
氏　名論　文　題　目
橋本　真太郎Some contributions to mathematical statistics
柴田　大樹Representations of Algebraic Supergroups
吴　达茹罕Hausdorff dimension of asymptotic self-similar sets
張　志朗Inradius collapsed manifolds
田中 勇一Some topics in Model theory: model companion, recursive saturation and Schröder-Bernstein property
楊 寒彪
Homeomorphisms and metrizations of function spaces with infinite-dimensional topology

平成28年度

氏　名

論　文　題　目
石井　晶
Two-Sample Tests Based on Eigenstructures in the HDLSS Context
大音　智弘
On Diophantine exponents for non-Archimedean fields
小林　宗広
Symbolic computation and machine learning on logical formulas
櫻井　陽平
Rigidity of manifolds with boundary under a lower weighted Ricci curvature bound
鈴木　俊夫
Some Results on Wavelet Expansions
Caalim. Jonathan Villaroza
Rotational beta expansion
平木　正俊
Some topics in topological dynamics

平成29年度


氏　名

論　文　題　目
佐藤　裕
Construction of Gray code for a group based on semidirect-product structure and its application to groups of order 16
于　冬暁
Crystals for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2
庄司　直高
Spectral theory for interior transmission eigenvalue problems on Riemannian manifolds

平成30年度


氏　名論　文　題　目
石井　大海
Bidirectional Interplay between Mathematics and Computer Science: Safety and Extensibility in Computer Algebra and Haskell
齋藤　隆大
A study of singularities with the theory of mixed Hodge modules
中村　憲史
Mathematical Analysis of the Navier-Stokes Equations and the Hyperbolic Type Navier-Stokes Equations
村尾　智
Multiple conjugation (bi)quandle colorings for handlebody-knots and their applications
松井　蘭丸
Analysis of Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method
藤井　克哉
Some Generalizations of Radon Transforms