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)

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

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

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

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

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

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

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

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 Curvex^m+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