Homepage of
Hiroyasu MIYAZAKI
RIKEN iTHEMS

Mathematics, in particular,
arithmetic geometry, algebraic geometry (motives, homotopy theory, algebraic cycles, algebraic Ktheory)
Recently, I am also interested and involved in interdisciplinary research.
Modulus sheaves with transfers
(with Shane Kelly)
arXiv:2106.12837 (2021)
Motives with modulus, III: The categories of motives
(with Bruno Kahn，Shuji Saito，Takao Yamazaki)
arXiv:2011.11859 (2020)
, to appear in Annals of Ktheory.
Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs
(with Bruno Kahn，Shuji Saito，Takao Yamazaki)
Épijournal de Géométrie Algébrique, Volume 5 (January 21, 2021) epiga:7115
arXiv:1910.14534
Motives with modulus, I: Modulus sheaves with transfers for nonproper modulus pairs
(with Bruno Kahn，Shuji Saito，Takao Yamazaki)
Épijournal de Géométrie Algébrique, Volume 5 (January 21, 2021) epiga:7114
arXiv:1908.02975
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
Nisnevich topology with modulus
Annals of Ktheory 5(3) 581  604 (2019)
arXiv:1910.14579
Cube invariance of higher Chow groups with modulus
Journal of Algebraic Geometry, 28, pp 339390 (2019).
arXiv
Suslin's moving lemma with modulus
(with Wataru Kai)
Annals of Ktheory, 3, No. 1, pp 55–70 (2018).
arXiv
Cube invariance of higher Chow groups with modulus
University of Tokyo
Supervisors: Tomohide Teresoma and Shuji Saito (2016)