Preprints

1. (with David Palmer, Yuya Koda)
   Homotopy classification of knotted defects in bounded domains, arXiv:2411.03918 (cond-mat.soft, math-ph, math.GT)
2. (with Masatoshi Sato, Masaaki Suzuki)
   Torsion elements in the associated graded modules of filtrations over the Torelli group and the homology cylinders, arXiv:2410.10061 (math.GT, math.QA)
3. (with Michikazu Kobayashi, Yuya Koda, Muneto Nitta)
   Quantum Knots that Never Come Untied, arXiv:2410.07470 (cond-mat.quant-gas, hep-th, math-ph)
4. (with Soichiro Fujii, Yuni Iwamasa, Kei Kimura, Akira Suzuki)
   Homotopy types of Hom complexes of graph homomorphisms whose codomains are cycles, arXiv:2408.04802 (math.CO, math.AT)
5. (with Tomoaki Hatano)
   On determinant of checkerboard colorable virtual knots, arXiv:2408.01891 (math.GT)
6. (with Michel Boileau, Teruaki Kitano)
   On the genera of symmetric unions of knots, arXiv:2407.09881 (math.GT)

Published Papers

1. (with Tamás Kálmán, Masakazu Teragaito, Yuya Koda)
   Homotopy classification of knotted defects in ordered media, Proc. R. Soc. A., 480: 20240148 (2024). arXiv:2402.16079 (cond-mat.soft, math.GT)
2. (with Takehiro Ito, Naonori Kakimura, Naoyuki Kamiyama, Yusuke Kobayashi, Yoshio Okamoto, and Kenta Ozeki)
   On reachable assignments under dichotomous preferences, Theor. Comput. Sci., 979 (2023). arXiv:2209.10262 (cs.GT, cs.DS, math.CO)
3. (with Masatoshi Sato, Masaaki Suzuki)
   A non-commutative Reidemeister-Turaev torsion of homology cylinders, Trans. Amer. Math. Soc., 376 (2023), 5045--5088. arXiv:2206.13019 (math.GT, math.QA)
4. (with Takehiro Ito, Yuni Iwamasa, Naonori Kakimura, Naoyuki Kamiyama, Yusuke Kobayashi, Shun-ichi Maezawa, Yoshio Okamoto, Kenta Ozeki)
   Monotone edge flips to an orientation of maximum edge-connectivity à la Nash-Williams, ACM Trans. Algorithms, Vol. 19, No. 1 (2023). arXiv:2110.11585 (math.CO, cs.DM, cs.DS)
5. (with Teruaki Kitano)
   An algebraic property of Reidemeister torsion, Trans. London Math. Soc. Volume 9, Issue 1 (2022), 136--157. arXiv:2201.01400
6. (with Masatoshi Sato, Masaaki Suzuki)
   On the kernel of the surgery map restricted to the 1-loop part, J. Topol., Volume 15, Issue 2 (2022), 587--619. arXiv:2103.07086 (math.GT, math.QA)
7. (with Kouki Sato, Masaki Taniguchi)
   Filtered instanton Floer homology and the homology cobordism group, J. Eur. Math. Soc., 26 (2024), no. 12, pp. 4699--4761. arXiv:1905.04001 (math.GT, math.DG)
8. (with Masatoshi Sato, Masaaki Suzuki)
   Abelian quotients of the $Y$-filtration on the homology cylinders via the LMO functor, Geom. Topol., 26-1 (2022), 221--282. arXiv:2001.09825 (math.GT, math.GR)
9. (with Teruaki Kitano)
   Finiteness of the image of the Reidemeister torsion of a splice, Ann. Math. Blaise Pascal, Vol. 27 (2020) no. 1, pp. 19--36. arXiv:1904.02559
10. Every lens space contains a homologically fibered knot, Illinois J. Math., Vol. 62, No. 1--4 (2018), 99--111. arXiv:1702.02731 (math.GT, math.NT)
11. An explicit relation between knot groups in lens spaces and those in $S^3$, J. Knot Theory Ramifications, Vol. 27, No. 8 (2018). arXiv:1602.05884
12. An extension of the LMO functor, Geom. Dedicata, 185(1) (2016), 271--306. arXiv:1505.02545

Proceedings

1. (with Takehiro Ito, Naonori Kakimura, Naoyuki Kamiyama, Yusuke Kobayashi, Shun-ichi Maezawa, Yoshio Okamoto)
   Hardness of Finding Combinatorial Shortest Paths on Graph Associahedra, Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP 2023), 82:1--82:17. arXiv:2304.14782
2. (with Takehiro Ito, Yuni Iwamasa, Naonori Kakimura, Yusuke Kobayashi, Shun-ichi Maezawa, Yoshio Okamoto, Kenta Ozeki)
   Rerouting Planar Curves and Disjoint Paths, Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP 2023), 81:1--81:19. arXiv:2210.11778
3. (with Katsuhisa Yamanaka, Kunihiro Wasa)
   Reconfiguration and Enumeration of Optimal Cyclic Ladder Lotteries, Proceedings of the 34th International Workshop on Combinatorial Algorithms (IWOCA 2023), 331--342. arXiv:2405.16408
4. (with Takehiro Ito, Yuni Iwamasa, Yusuke Kobayashi, Shun-ichi Maezawa, Yoshio Okamoto, Kenta Ozeki)
   Reconfiguration of colorings in triangulations of the sphere, Proceedings of the 39th International Symposium on Computational Geometry (SoCG 2023), 43:1--43:16. arXiv2210.17105
5. (with Takehiro Ito, Naonori Kakimura, Naoyuki Kamiyama, Yusuke Kobayashi, Yoshio Okamoto, and Kenta Ozeki)
   On Reachable Assignments under Dichotomous Preferences, Proceedings of the 24th International Conference on Principles and Practice of Multi-Agent Systems (PRIMA 2022), 650--658. arXiv:2209.10262
6. (with Takehiro Ito, Yuni Iwamasa, Naonori Kakimura, Naoyuki Kamiyama, Yusuke Kobayashi, Yoshio Okamoto, and Kenta Ozeki)
   Reforming an envy-free matching, Proceedings of the 36th AAAI Conference on Artificial Intelligence (AAAI 2022), 36(5), 5084--5091. arXiv:2207.02641
7. (with Takehiro Ito, Yuni Iwamasa, Naonori Kakimura, Naoyuki Kamiyama, Yusuke Kobayashi, Shun-ichi Maezawa, Yoshio Okamoto, and Kenta Ozeki)
   Monotone edge flips to an orientation of maximum edge-connectivity à la Nash-Williams, Proceedings of the 2022 ACM-SIAM Symposium on Discrete Algorithms (SODA 2022), 1342--1355. arXiv:2110.11585

Books/Articles

1. ホモロジー群, 『数学セミナー』12 月号, 日本評論社 (2019), 19--21.

Others

1. On the kernel of the surgery map, RIMS Kôkyûroku No.2227 (2022), 76--87.
2. 手術写像の核について, 数理解析研究所講究録 No.2219 (2022), 26--42.
3. (with 佐藤正寿, 鈴木正明)
   On the kernel of the surgery map restricted to the 1-loop part, 日本数学会 2021年度秋季総合分科会 トポロジー分科会講演アブストラクト, 社団法人日本数学会 (2021), 1--2.
4. LMO 関手を用いた不変量と写像類群への応用, 第68回トポロジーシンポジウム講演集 (2021), 32--43.
5. (with 佐藤正寿, 鈴木正明)
   Abelian quotients of the $Y$-filtration on the homology cyliders via the LMO functor, 日本数学会 2020年度秋季総合分科会 トポロジー分科会講演アブストラクト, 社団法人日本数学会 (2020), 33--34.
6. (with Kouki Sato, Masaki Taniguchi)
   Instanton Floer theory and the homology cobordism group, RIMS Kôkyûroku No.2129 (2019), 97--106.
7. (with 佐藤光樹, 谷口正樹)
   双曲多様体に対するホモロジー同境不変量の計算, 日本数学会 2019年度秋季分科会 トポロジー分科会講演アブストラクト, 社団法人日本数学会 (2019), 93--94.
8. An infinite family of homologically fibered knots of the same genus, 日本数学会 2019年度年会 トポロジー分科会講演アブストラクト, 社団法人日本数学会 (2019), 63--64.
9. An invariant of 3-manifolds via homology cobordisms and knots in lens spaces, PhD Thesis (2018).
10. Every lens space contains a genus one homologically fibered knot, 日本数学会 2017年度秋季分科会 トポロジー分科会講演アブストラクト, 社団法人日本数学会 (2019), 29--30.
11. An explicit relation between knot groups in lens spaces and those in $S^3$, RIMS Kôkyûroku No.2004 (2016), 101--107.
12. An explicit relation between knot groups in lens spaces and those in $S^3$, 日本数学会 2016年度年会 トポロジー分科会講演アブストラクト, 社団法人日本数学会 (2016), 31--32.
13. LMO 関手の拡張, 「リーマン面に関連する位相幾何学 2015」予稿集, 東京大学 (2015), 80--86.
14. An extension of the LMO functor, 研究集会「結び目の数学 VII」報告集, 東京女子大学 (2015), 9--15.
15. An extension of the LMO functor, 日本数学会 2015年度年会 トポロジー分科会講演アブストラクト, 社団法人日本数学会 (2015), 93--94.