学術論文

• • (with M. Ogawa) Shadow-complexity and trisection genus, Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, 34 (2025) no. 5, 1185–1217. doi: 10.5802/afst.1830 

  • The special shadow-complexity of #k(S¹×S³), Journal of Knot Theory and Its Ramifications, 34 (2025), no. 5, 2550014. doi: 10.1142/S0218216525500142 

  • (with N. Asano and M. Ogawa) Some lower bounds for the Kirby-Thompson invariant, Mathematical Research Letters, 31 (2025), no. 6, 1611–1637. doi: 10.4310/mrl.250210225353 

  • Shadows of 2-knots and complexity, Algebraic & Geometric Topology, 24 (2024), no. 8, 4651–4695. doi: 10.2140/agt.2024.24.4651 

  • (with I. Ishii, M. Ishikawa and Y. Koda) Positive flow-spines and contact 3-manifolds II, Annali di Matematica Pura ed Applicata, Series IV, 203 (2024), no. 3, 1251–1266. doi: 10.1007/s10231-023-01400-4 

  • (with I. Ishii, M. Ishikawa and Y. Koda) Positive flow-spines and contact 3-manifolds, Annali di Matematica Pura ed Applicata, Series IV, 202 (2023), no. 5, 2091–2126. doi: 10.1007/s10231-023-01314-1 

  • (with M. Ishikawa and Y. Koda) Presentation of the fundamental groups of complements of shadows, Essays in Geometry Dedicated to Norbert A’Campo (ed. A. Pa- padopoulos), European Mathematical Society Press, 2023, pp. 557–588. doi: 10.4171/IRMA/34/25 

  • (with Y. Koda and B. Martelli) Four-manifolds with shadow-complexity one, Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, 31 (2022), no. 4, 1111–1212. doi: 10.5802/afst.1715 

  • Corks with large shadow-complexity and exotic 4-manifolds, Experimental Mathematics 30 (2021), no. 2, 157–171. doi: 10.1080/10586458.2018.1514332 

  • (with Y. Koda) Shadows of acyclic 4-manifolds with sphere boundary, Algebraic & Geometric Topology 20 (2020), no. 7, 3707–3731. doi: 10.2140/agt.2020.20.3707 

  • (with M. Ishikawa) Milnor fibration, A’Campo’s divide and Turaev’s shadow, Singularities —– Kagoshima 2017, Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities, World Scientific Publishing, 2020, pp. 71–93. doi: 10.1142/9789811206030_0005 

  • Mazur manifolds and corks with small shadow complexities, Osaka Journal of Mathematics, 55 (2018), no.3, 479–498. https://projecteuclid.org/euclid.ojm/1530691239 

  • Shadows of 4-manifolds with complexity zero and polyhedral collapsing, Proceedings of the American Mathematical Society, 145 (2017) no.10, 4561–4572. doi: 10.1090/proc/13595 

その他, 報告集への寄稿など

• • “4次元多様体のシャドウと不変量”, 「第72回トポロジーシンポジウム」講演集, 2025年.

  • “Shadow-complexity and trisection genus”, 研究集会「結び目の数理VI」報告集, 2024年.

  • “Positive flow-spines and contact 3-manifolds”,日本数学会2021年度秋季総合分科会, 講演アブストラクト, 2021年.

  • “Infinitely many corks having large shadow-complexities”, 日本数学会2018年度年会, 講演アブストラクト, 2018年.

  • “Corks and their shadow complexities”, 日本数学会2017年度秋季総合分科会, 講演アブストラクト, 2017年.

  • “Homology 4-balls with complexity zero and collapsing of shadows”, 研究集会「結び目の数学IX」報告集, 2017年.

  • “Infinitely many corks with special shadow complexity one”, 研究集会「結び目の数学VIII」報告集, 2016年.

  • “Shadow から構成される cork と shadow complexity”, 特異点と多様体の幾何学VI, 報告集, 2015年.