Hiroyasu MIYAZAKI

Profile Information

Affiliation: Senior Researcher, Institute for Fundamental Mathematics, NTT Communication Science Laboratories
: Visiting Scientist, iTHEMS, RIKEN

Degree: Ph.D (Mathematical Sciences)(2016, The University of Tokyo)

J-GLOBAL ID: 201901001673580086
researchmap Member ID: B000355799

Research Interests

Research Areas

Natural sciences / Algebra / arithmetic geometry

Research History

Apr, 2024 - Present

Senior Researcher, NTT Institute for Fundamental Mathematics, NTT Communication Science Laboratories
Mar, 2022 - Present

Visiting Scientist, iTHEMS, RIKEN
Apr, 2020 - Present

EYR candidates 2020, JSPS
Mar, 2022 - Mar, 2024

Research Scientist, Institute for Fundamental Mathematics, NTT Communication Science Laboratories
Oct, 2020 - Feb, 2022

Senior Research Scientist, Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKEN
Jan, 2019 - Sep, 2020

Special Postdoctoral Researcher, Interdisciplinary Theoretical and Mathematical Sciences Program, RIKEN
Jan, 2018 - Jan, 2019

Post-doctoral researcher of Fondation Sciences Mathématiques de Paris, Institut de Mathématiques de Jussieu (IMJ-PRG), Paris VI
Apr, 2018 - Apr, 2018

日本学術振興会特別研究員PD 内定辞退
Feb, 2017 - Jan, 2018

Special Postdoctoral Researcher, Interdisciplinary Theoretical Science Research Group (iTHES), RIKEN
Oct, 2016 - Jan, 2017

JSPS PD, Graduate School of Mathematica Sciences, University of Tokyo
Apr, 2015 - Sep, 2016

JSPS DC2, Graduate School of Mathematical Sciences, The University of Tokyo

Education

Apr, 2013 - Sep, 2016

Doctor Course, Graduate School of Mathematical Sciences, The University of Tokyo
Apr, 2007 - Mar, 2011

The University of Tokyo
Master Course, Graduate School of Mathematical Sciences, The University of Tokyo

Awards

Mar, 2022

FY2021 RIKEN BAIHO Award (RIKEN Excellent Achievement Award), Development of generalized theory of motives, RIKEN

Hiroyasu MIYAZAKI
Jan, 2021

FY 2020 SPDR Presentation Session Award, RIKEN

Hiroyasu Miyazaki

Papers

A motivic construction of the de Rham-Witt complex

Junnosuke Koizumi, Hiroyasu Miyazaki

Journal of Pure and Applied Algebra, 228(6) 107602-107602, Jun, 2024 Peer-reviewed
Hodge cohomology with a ramification filtration, I

Shane Kelly, Hiroyasu Miyazaki

Mathematische Zeitschrift, 305(4), Nov 6, 2023 Peer-reviewed
Hodge cohomology with a ramification filtration, II

Shane Kelly, Hiroyasu Miyazaki

arXiv:2306.06864, Jun, 2023
Modulus triples

Bruno Kahn, Hiroyasu Miyazaki

arXiv:2303.02453, 2022
Motives with modulus, III: The categories of motives

Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito, Takao Yamazaki

Annals of K-theory, 7 119-178, 2022 Peer-reviewed
Topologies on schemes and modulus pairs

Bruno Kahn, Hiroyasu Miyazaki

Nagoya Mathematical Journal, 244 283-313, Dec, 2021 Peer-reviewed
Structural reduction of chemical reaction networks based on topology

Yuji Hirono, Takashi Okada, Hiroyasu Miyazaki, Yoshimasa Hidaka

Physical Review Research, 3(4), Nov 17, 2021 Peer-reviewed
Structural Reduction of Hypergraphs Based on Topology

Yuji Hirono, Takashi Okada, Hiroyasu Miyazaki, Yoshimasa Hidaka

Proceedings of Blockchain in Kyoto 2021 (BCK21), Nov 10, 2021
Modulus sheaves with transfers

Shane Kelly, Hiroyasu Miyazaki

https://arxiv.org/abs/2106.12837, 1-123, Jun, 2021
Nisnevich topology with modulus

Hiroyasu Miyazaki

Annals of K-theory, 5(3) 581-604, 2020 Peer-reviewed
Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs

Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito, Takao Yamazaki

Épijournal de Géométrie Algébrique, Volume 5 (2021), Article Nr. 2, 1-40, Nov, 2019 Peer-reviewed
Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs

Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito, Takao Yamazaki

Épijournal de Géométrie Algébrique, Volume 5 (2021), Article Nr. 1, 1-62, Aug, 2019 Peer-reviewed
Cube invariance of higher Chow groups with modulus

Hiroyasu MIYAZAKI

Journal of Algebraic Geometry, 28 339-390, 2019 Peer-reviewed
Suslin's moving lemma with modulus

Wataru KAI, Hiroyasu MIYAZAKI

Annals of K-Theory, 3(1) 55-70, 2018 Peer-reviewed
On a generalization of homotopy invariance for higher Chow groups with modulus

Hiroyasu MIYAZAKI

A technical report for The 13th Mathematics Conference for Young Researchers, 2017
Special values of zeta functions of varieties over finite fields via higher Chow groups

Hiroyasu MIYAZAKI

RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2013, B53, 2015 Peer-reviewed
Mayer-Vietoris triangles for motives with modulus

Bruno, KAHN, Hiroyasu MIYAZAKI

Preprint, available at arXiv:1809.05851
On a generalization and applications of modulus pairs

Hiroyasu MIYAZAKI

RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2014, 掲載受理 Peer-reviewed

Misc.

Motivic homotopy theory with ramification filtrations

Junnosuke Koizumi, Hiroyasu Miyazaki, Shuji Saito

Apr 3, 2025

Books and Other Publications

数理の窓から世界を読みとく : 素数・AI・生物・宇宙をつなぐ

初田, 哲男, 柴藤, 亮介, 宮﨑弘安, 田中章詞, 入谷亮介, 廣島渚 (Role: Contributor, 第１章「数のふしぎ」のその先へ)

岩波書店, Nov 19, 2021 (ISBN: 9784005009435)

Presentations

数からカタチへ、カタチから数へ

宮﨑弘安

日本女子大学理学セミナー, Dec 6, 2024 Invited
モジュラス付きモチーフとその実現について

宮﨑弘安

津田塾大学整数論ワークショップ, Nov 23, 2024 Invited
モジュラス付きモチーフ理論について

宮﨑弘安

京都大学談話会, Nov 13, 2024 Invited
モジュラス付きモチーフ理論と最新の進展

宮﨑弘安

第28回代数学若手研究会, Feb 28, 2023 Invited
Reciprocity sheaves and a motivic construction of the de Rham-Witt complex

Hiroyasu Miyazaki

Oberseminar Algebra und Topologie, Sep 26, 2023 Invited
Motives and Hodge cohomology with a ramification filtration

Hiroyasu Miyazaki

Tokyo Institute of Technology Number theory and Geometry Seminar, Jul 7, 2023 Invited
On some generalizations of motives with modulus

Hiroyasu Miyazaki

Motives, quadratic forms and arithmetic, Oct 24, 2022 Invited
On reciprocity sheaves and a motivic analogue of the Hasse-Arf theorem

Hiroyasu Miyazaki

Séminaire de théorie des nombres de l'IMJ-PRG, Oct 10, 2022 Invited
On motives with modulus over a general base

Hiroyasu Miyazaki

Sendai-Hiroshima Number Theory Workshop, Jul 13, 2022
On a generalization of motives

Hiroyasu Miyazaki

Keio algebra seminar, Oct 4, 2021 Invited
On Nisnevich topology with modulus

Hiroyasu Miyazaki

Motivic Hopf Equations seminar (Oslo University), Jun 3, 2020 Invited
Mystery of prime numbers

Hiroyasu Miyazaki

Apr 18, 2020
Algebraic K-groups and higher Chow groups

Hiroyasu Miyazaki

Young mathematicians workshop on algebraic, geometric, and analytic aspects of K theory and vector bundles, Ryukyu University, Aug, 2019 Invited
On algebraic cycles with modulus

Hiroyasu Miyazaki

BOSTON UNIVERSITY/KEIO UNIVERSITY WORKSHOP 2019 (Number Theory), Boston University, Jun 25, 2019 Invited
Homotopy property for algebraic cycles with modulus

Hiroyasu Miyazaki

Algebraic Geometry Seminar, KAIST, Korea, Jun 10, 2019 Invited
Mayer-Vietoris squares for motives with modulus

Hiroyasu MIYAZAKI

International Conference Motives in Tokyo 2019, Feb, 2019 Invited
On Mayer-Vietoris sequences for motives with modulus

Hiroyasu MIYAZAKI

Tohoku Number Theory Seminar, Jul, 2018 Invited
On the nil higher Chow groups with modulus

Hiroyasu MIYAZAKI

Seminaire Autour des Cycles Algebriques, Apr, 2018 Invited
On the obstruction for $\mathbb{A}^1$-homotopy invariance of the higher Chow group with modulus, and its module structure over the ring of Witt vectors

Hiroyasu MIYAZAKI

Regulators in Niseko 2017, Sep, 2017
A cycle-theoretic counterpart of the nilpotent $K$-group and its module structure

Hiroyasu MIYAZAKI

The 16th Hiroshima-Sendai workshop on number theory, Jul, 2017

Teaching Experience

Nov, 2024 - Nov, 2024

集中講義数学特別講義5 （数論幾何学・代数幾何学）「モチーフ理論の基礎とその一般化について」 (京都大学数学教室)

Research Projects

Expansion and deepening of the theory of motives towards the unification of cohomologies in arithmetic geometry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2024 - Mar, 2028
Operator theoretic data analysis of complicated dynamics and its integrated utilization with mathematical models

CREST, Japan Science and Technology Agency (JST), Apr, 2019 - Mar, 2025
Research on arithmetic phenomena via generalized theory of motives

Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists, Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2024

Hiroyasu Miyazaki
Research on relative theories of algebraic cycles and algebraic $K$-theory

Special Postdoctoral Researcher (SPDR), RIKEN, Jan, 2019 - Jan, 2022

Hiroyasu MIYAZAKI
A generalization of the theory of motives of algebraic varieties

Grant-in-Aid for Research Activity start-up, JSPS, Apr, 2019 - Mar, 2021

Hiroyasu Miyazaki
Research on the category of motives of algebraic varieties

Research Fellowship for Young Scientists DC2, Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2017

Hiroyasu MIYAZAKI

Academic Activities

Yatsugatake Workshop, 2023 Condensed Mathematics

Planning, management, etc.

Ko Aoki(Bonn), Rhomei Iwasa(Orsay)，Hiroyasu Miyazaki（NTT)，Shuji Saito (Tokyo), Sep 6, 2023 - Sep 10, 2023
International Workshop on motives in Tokyo, 2023

Planning, management, etc.

Thomas Geisser (Rikkyo University), Shane Kelly (Tokyo University), Hiroyasu Miyazaki(NTT Institute for Fundamental Mathematics), Shuji Saito (Tokyo University), Feb 13, 2023 - Feb 17, 2023

Profile Information

Research Interests

Research Areas

Research History

Education

Awards

Papers

Misc.

Books and Other Publications

Presentations

Teaching Experience

Research Projects

Academic Activities

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