Recent situation

近況

Schedule

出張・セミナー発表・セミナー聴講予定など

1. None

My recent papers

最近の私の論文

1. 27th September/2024, arXiv:2409.17701 This is a joint work with Katsuhisa Koshino. We researched isometric universality of spaces of metrics. For examples, we prove that the space of metrics on the Cantor set admits an isometric embedding from arbitrary compact metric spaces.
2. I am writing a manuscript titled "A survey on comgear subsets in spaces of metrics" for submitting to RIMS Kôkyûroku as an article based on my talk in "RIMS symposium (open), General topology and related fields, in June 2024".
3. 4th July/2024, arXiv:2407.03030 , An isometric extensor of metrics.
   For a metrizable space, and its closed subset, an extensor of metrics is defined as a map from the space of metrics on the closed subset into the space of metrics on the space, which actually extendes metrics. I constructed an extensor of metrics, which preserving the supremum metrics on spaces of metrics.
4. Feb/2024, arXiv:2402.04565 , Spaces of metrics are Baire.
   I proved that, for an arbitrary metrizable space, the space of metrics on the space is Baire with respect to the uniform topology.

CV

経歴

Education

学歴

• March, 2012, Okinawan Koyo High School.
• March, 2016. Bachelor of Science, Saitama University.
• March, 2018. Master of Science, Usiversity of Tuskuba.
• March, 2021. Ph.D.(Science), University of Tsukuba.

• April, 2009, 沖縄県立向陽高等学校入学
March, 2012, 同卒業
• April, 2012. 埼玉大学理学部数学科入学.
• March, 2016. 同卒業.
• April, 2016. 筑波大学大学院数理物質科学研究科博士前期課程入学.
• March, 2018. 同修了.
• April, 2018. 筑波大学大学院数理物質科学研究科博士後期課程入学.
• March, 2021. 同修了.

Employment

職歴

• April, 2018--March, 2021. Research Fellow (DC1) of Japan Society for Promotion of Science (JSPS).
• April, 2021--June, 2021. Postdoctoral Fellow of University of Tsukuba.
• July, 2021--March, 2024. Postdoctoral Resercher of Photonics Control Technology Team, RIKEN Center for Advanced Photonics.
• April, 2024--September, 2024. Part-time teacher of Senshu University, Class of Linear Algebra A and B.
• April, 2024--current. Postdoctoral researcher of Tokyo Metropolitan University; Department of Mathematical Sciences Tokyo Metropolitan University

• April, 2018--March, 2021. 日本学術振興会特別研究員(DC1).
• April, 2021--June, 2021. 筑波大学数理物質系博士特別研究員.
• July, 2021--March 2024. 理化学研究所 光量子工学研究センター 光量子制御技術開発チーム特別研究員.
• April, 2024--September 2024. 専修大学 兼任教員 (いわゆる非常勤講師):経営数学基礎演習（線形代数A・B）
• April, 2024--current 東京都立大学 特別研究員 (雇用PD); 東京都立大学理学部数理科学科(学振PD採用者).

Awards

受賞歴

• Prize of Facluty Science, Saitama University 2016.
• Prize of Graduate School of Pure and Applied Sciences, University of Tsukuba 2018
• Prize of Graduate School of Pure and Applied Sciences, University of Tsukuba 2020

• 埼玉大学理学部長賞（2016年度）
• 筑波大学大学院数理物質科学研究科長賞（2018年度）
• 筑波大学大学院数理物質科学研究科長賞（2020年度）

Lecture Notes

講義ノート

Talks

研究発表

Papers

論文

Memos/Notes

メモ/ノート

Links

Links to arXiv

1. arXiv:1710.08190 , Quasi-symmetric invariant properties of Cantor metric spaces
2. arXiv:1911.07455 , On the Assouad dimension and convergence of metric spaces
3. arXiv:1911.10775 , A characterization of metric subspaces of full Assouad dimension
4. arXiv:2003.13227 , An interpolation of metrics and spaces of metrics
5. arXiv:2008.10209 , An embedding, an extension, and an interpolation of ultrametrics
6. arXiv:2104.12450 , On dense subsets in spaces of metrics
7. arXiv:2108.06970 , Branching geodesics of the Gromov--Hausdorff distance
8. arXiv:2110.01881 , Fractal dimensions in the Gromov--Hausdorff space
9. arXiv:2111.08199 , Continua in the Gromov--Hausdorff space
10. arXiv:2112.05345 , Metric trees in the Gromov--Hausdorff space
11. arXiv:2206.10778 , Simultaneous extensions of metrics and ultrametrics of high power
12. arXiv:2207.12765 , On comeager sets of metrics whose ranges are disconnected
13. arXiv:2207.12905 , Extending proper metrics
14. arXiv:2210.02170 , Strongly rigid metrics in spaces of metrics
15. arXiv:2212.13409 , A factorization of metric spaces
16. arXiv:2302.00305 , Constructions of Urysohn universal ultrametric spaces
17. arXiv:2302.00306 , Uniqueness and homogeneity of non-separable Urysohn universal ultrametric spaces
18. arXiv:2303.17471 , Characterizations of Urysohn universal ultrametric spaces
19. arXiv:2309.06704 , A non-Archimedean Arens--Eells isometric embedding theorem on valued fields
20. arXiv:2402.04565 , Spaces of metrics are Baire
21. arXiv:2407.03030 , An isometric extensor of metrics
22. arXiv:2409.17701 , On isometric universality of spaces of metrics (joint work with Katsuhisa Koshino)

Links to my academic accounts

1. Google Scholar
2. ORCiD
3. zbMATH
4. Resaerch map

Photos

写真

A real Cantor set in Wakoshi city, Saitama:

Real Cantor sets in Hachioji city, Tokyo: