english | 日本語

Homepage of
Hiroyasu MIYAZAKI

RIKEN iTHEMS
Senior Research Scientist

2-1 Hirosawa, Wako, Saitama 351-0198 Japan

firstname.lastname [at] riken [dot] jp





Research interest

Mathematics, in particular,

arithmetic geometry, algebraic geometry (motives, homotopy theory, algebraic cycles, algebraic K-theory)

Recently, I am also interested and involved in interdisciplinary research.


Seminar organization

RIKEN iTHEMS Math Seminar


Lectures

Hitotsubashi University

  1. Spring-Summer semester 2021: Culculus I (part-time)
  2. Spring-Summer semester 2020: Culculus I (part-time, online)
  3. Spring-Summer semester 2019: Linear Algebra I (part-time)
  4. Spring-Summer semester 2017: Linear Algebra I (part-time)

University of Tokyo

  1. Summer Semester (Komaba campus, online):
    Academic Frontier Lecture

Papers

  1. Modulus sheaves with transfers
    (with Shane Kelly)
    arXiv:2106.12837 (2021)

  2. Motives with modulus, III: The categories of motives
    (with Bruno KahnShuji SaitoTakao Yamazaki)
    arXiv:2011.11859 (2020) , to appear in Annals of K-theory.

  3. Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs
    (with Bruno KahnShuji SaitoTakao Yamazaki)
    Épijournal de Géométrie Algébrique, Volume 5 (January 21, 2021) epiga:7115
    arXiv:1910.14534

  4. Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs
    (with Bruno KahnShuji SaitoTakao Yamazaki)
    Épijournal de Géométrie Algébrique, Volume 5 (January 21, 2021) epiga:7114
    arXiv:1908.02975

  5. Topologies on schemes and modulus pairs
    (with Bruno Kahn)
    Nagoya Mathematical Journal (2019),
    DOI: https://doi.org/10.1017/nmj.2020.15
    arXiv:1910.14595

  6. Nisnevich topology with modulus
    Annals of K-theory 5(3) 581 - 604 (2019)
    arXiv:1910.14579

  7. Cube invariance of higher Chow groups with modulus
    Journal of Algebraic Geometry, 28, pp 339-390 (2019). arXiv

  8. Suslin's moving lemma with modulus
    (with Wataru Kai)
    Annals of K-theory, 3, No. 1, pp 55–70 (2018). arXiv

Interdisciplinary research

  1. Structural reduction of chemical reaction networks based on topology
    (with Yuji HironoTakashi OkadaYoshimasa Hidaka)
    arXiv:2102.07687 (2021), to appear in Physical Review Research.

Survey (Refereed)

  1. On a generalization and applications of modulus pairs
    RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2014
  2. Special values of zeta functions of varieties over finite fields via higher Chow groups
    RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2013 B53 2015

Other articles

  1. On a generalization of homotopy invariance for higehr Chow groups with modulus
    A technical report for The 13th Mathematics Conference for Young Researchers 2017

Ph.D Thesis

Cube invariance of higher Chow groups with modulus
University of Tokyo
Supervisors: Tomohide Teresoma and Shuji Saito (2016)