野崎雄太

ノザキユウタ | Nozaki Yuta

所属機関・部署：
職名：准教授
ホームページURL (2件)： https://nozaki.ynu.ac.jp/index.html , https://nozaki.ynu.ac.jp/index_en.html

研究分野 (1件)：幾何学

研究キーワード (10件)：位相幾何学 , 3次元多様体 , ホモロジーシリンダー , ホモロジー同境 , 量子トポロジー , 結び目 , 写像類群 , Torelli 群 , Reidemeister トーション , 組合せ遷移

競争的資金等の研究課題 (6件)：

全件表示

論文 (27件)：

Soichiro Fujii, Kei Kimura, Yuta Nozaki. Homotopy types of Hom complexes of graph homomorphisms whose codomains are square-free. European Journal of Combinatorics. 2026
Yuta Nozaki, David Palmer, Yuya Koda. Homotopy classification of knotted defects in bounded domains. Letters in Mathematical Physics. 2025. 115. 6
Takehiro Ito, Yuni Iwamasa, Yusuke Kobayashi, Shun-ichi Maezawa, Yuta Nozaki, Yoshio Okamoto, Kenta Ozeki. Reconfiguration of colorings in triangulations of the sphere. Journal of Computational Geometry. 2025. 16. 1
Yuta Nozaki, Kunihiro Wasa, Katsuhisa Yamanaka. Reconfiguration and enumeration of optimal cyclic ladder lotteries. Theoretical Computer Science. 2025. 1053. 115434-115434
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki. Torsion elements in the associated graded of the $Y$-filtration of the monoid of homology cylinders. Journal of Topology. 2025. 18. 3

MISC (11件)：

Michel Boileau, Teruaki Kitano, Yuta Nozaki. A preorder on the set of links defined via orbifolds. arXiv. 2025
Yuta Nozaki, Darian Hall, Ivan I. Smalyukh, Yuya Koda. Analysis of Hopf solitons as generalized fold maps. 2025
Tomáš Kaiser, On-Hei Solomon Lo, Atsuhiro Nakamoto, Yuta Nozaki, Kenta Ozeki. Colouring normal quadrangulations of projective spaces. 2025
Michikazu Kobayashi, Yuta Nozaki, Yuya Koda, Muneto Nitta. Quantum Knots that Never Come Untied. 2024
Tomoaki Hatano, Yuta Nozaki. On determinant of checkerboard colorable virtual knots. 2024

講演・口頭発表等 (32件)：

Torsion elements in the associated graded modules of filtrations over the Torelli group and the homology cylinders
(Algebraic approaches to mapping class groups of surfaces 2025)
Torsion elements in the associated graded modules of filtrations over the Torelli group and the homology cylinders
(The 16th East Asian Conference on Geometric Topology 2025)
曲面の Torelli 群とホモロジーシリンダーのなすモノイド
(大岡山談話会 2024)
On the LMO invariant of 3-manifolds
(Knot theory, LMO invariants and related topics 2024)
A non-commutative Reidemeister-Turaev torsion of homology cylinders
(Mapping class groups: pronilpotent and cohomological approaches 2023)

学位 (1件)：

経歴 (4件)：

委員歴 (1件)：

受賞 (2件)：

所属学会 (1件)：

日本数学会

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野崎 雄太