博士論文一覧

博士論文

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