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