博士論文一覧

博士論文

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

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)