博士論文一覧

博士論文

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