Papers & Talks

My research interest is all things in low-dimensional topology theory and its application, related mathematics. 

Currently, I'm interested in Heegaard Floer theory and trisection theory and its application to differential and symplectic topology.  Also, I'm interested in data science by using Persistent homology, Neural networks, and deep & reinforcement learning.

Papers

1. (with H. Naoe) Shadow-complexity and trisection genus, To apper in Annales dela Faculte des Sciences de Toulous,  (https://arxiv.org/abs/2407.21265)

2. (with T. Isoshima)Trisection induced by Gluck surgery along certain spun knots, To appear in J.Knot Theory Ramif. (https://arxiv.org/abs/2305.12042)

3. (with N. Asano, H. Naoe) Some lower bounds for the Kirby-Thompson invariant, Math. Res. Lett.  (https://arxiv.org/abs/2302.07447)

4. stably equivalence of handlebody decomposition whose partitions are multibranched surface, Topol. Appl. (2023) (https://doi.org/10.1016/j.topol.2023.108649)

5. Trisections with Kirby-Thompson length 2, Geom. Dedicata. (2022)(https://doi.org/10.1007/s10711-022-00728-0)

6. (with N.Sakata, R. Mishina, K. Ishihara, Y. Koda, M. Ozawa, K. Shimokawa) Handlebody decompositions of three-manifolds and polycontinuous patterns, Proc. R. Soc. A. (2022)(https://doi.org/10.1098/rspa.2022.0073)

7. (with Y. Ito) Decompositions of the 3-sphere and lens spaces wiith three handlebodies, J.Knot Theory Ramif. (2021) (https://doi.org/10.1142/S0218216521500681) (Erratum: https://doi.org/10.1142/S0218216522920018)

 Preprint

1. (with T. Isoshima)Nielsen equivalence and multisections of 4-manifolds, https://arxiv.org/abs/2401.15822

2. Weinstein trisections of trivial surface bundles, https://arxiv.org/abs/2309.11720

Previous& Future Talk

1. Invariants of 4-manifolds defined by trisections and shadows, 京大微分トポロジーセミナー(2025/1/7)

2. Weinstein trisections of trivial surface bundles, 日本数学会年会(2024/3)

3. Shadow-complexity and trisection genus, 4次元トポロジー2023(2023/11)

4. Weinstein trisections of trivial surface bundles, 東北結び目セミナー2023(2023/10)

5. Weinstein trisections of trivial surface bundles, 東北大学幾何セミナー(2023/10)

6. Weinstein trisections of trivial surface bundles, 東北大学談話会(2023/7)

7. Some lower bounds for the kirby-Thompson invariant, 日本数学会年会(2023/3)

8. Some lower bounds for the kirby-Thompson invariant, 研究集会4次元トポロジー(2022/11)

9. On the reducibility of handlebody decomposition, Friday seminar on knot theory (2022/6)

10. Trisection with kirby-Thompson length 2, Virtual trisection meeting(2022/4)

11. 4-manifolds with distance 2 trisection, 東北結び目セミナー(2021/10)

12. 3次元多様体の多重分岐ハンドル体分解の安定同値性について, 日本数学会秋季総合分科会(2021/9)

13. Stably equivalence of multibranched handlebody decomposition, Fiday seminar on knot theory (2021/5)

14. Classification of handlebody decompositions of the 3-sphere and lens spaces, 結び目の数理III(2020/12)

15. Characterization of 3-manifolds with certain handlebody decomposition, 東北結び目セミナー(2019/10)

16. Handlebody decomposition of 3-manifolds with three handlebodies, 拡大KOOKセミナー(2019/8)