20 August 2026,
arXiv:2608.19618,
Borelness of Moduli Spaces of Metrics Implies Separability.
This is joint work with Tomoki Uda. We proved that if the space of compatible
metrics on a metrizable space is Borel, then the underlying space is separable.
17 August 2026,
arXiv:2608.16169,
Absolute Borel Complexity of Moduli Spaces of Ultrametrics.
I studied the absolute Borel complexity and complete metrizability of spaces
of bounded compatible ultrametrics.
14 July 2026,
arXiv:2607.12528,
Algebraic structures on non-Archimedean Urysohn universal metric spaces.
I investigated valued-field structures on Urysohn universal ultrametric spaces.
June/2026.
My paper "An interpolation of metrics and spaces of metrics"
is published in Topology and its Applications, and
became Open Access
(
link
).
Earlier announcement (date not recorded):過去のお知らせ（告知日未記録）：
My paper "Spaces of metrics are Baire" became Open Access
(
link
).
Earlier announcement (date not recorded):過去のお知らせ（告知日未記録）：
The joint work with Katsuhisa Koshino "On isometric universality of spaces of metrics"
is published in Topology and its Applications
(
link
).
Earlier announcement (date not recorded):過去のお知らせ（告知日未記録）：
My paper "Spaces of metrics are Baire" is
published in Topology and its Applications
(
link
).
Earlier announcement (date not recorded):過去のお知らせ（告知日未記録）：
My paper "Characterizations of Urysohn universal ultrametric spaces"
is published in AGMS (link).
27th September/2024,
arXiv:2409.17701
This is a joint work with Katsuhisa Koshino.
We researched isometric universality of spaces of metrics.
For example,
we prove that the space of metrics on the Cantor set admits an isometric embedding
from arbitrary compact metric spaces.
2024 — Publication:2024年 — 刊行：
My survey "Spaces of metrics are Baire", based on my talk at
"General topology and related fields" in June 2024, was published in
RIMS Kôkyûroku No. 2296 (2024), 22–38.
(Published article)
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 extends metrics. I constructed an extensor of metrics,
which preserves the supremum metrics on spaces of metrics.
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, University of Tsukuba.
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 Researcher 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
