My current research interest is in motivic homotopy theory, algebraic cycles, birational geometry, and ramification theory.
I am also open to any kind of mathematics and sciences.
Talks / Presentations
Please refer to here.
Preprints
- Hodge cohomology with a ramification filtration, II
(with Shane Kelly)
[arXiv:2306.06864] - Modulus triples
(with Bruno Kahn)
[arXiv:2303.02453] - Modulus sheaves with transfers
(with Shane Kelly)
[arXiv:2106.12837]
Peer-reviewed papers
- A motivic construction of the de Rham-Witt complex
(with Junnosuke Koizumi)
Journal of Pure and Applied Algebra, 228(6) 107602-107602, Jun, 2024
[doi:10.1016/j.jpaa.2023.107602] [arXiv:2301.05846] - Hodge cohomology with a ramification filtration, I
(with Shane Kelly)
Mathematische Zeitschrift, 305(4), Nov 6, 2023
[doi:10.1007/s00209-023-03393-5] [arXiv:2306.06838] - Motives with modulus, III: The categories of motives
(with Bruno Kahn, Shuji Saito, Takao Yamazaki)
Annals of K-theory, 7 119-178, 2022
[10.2140/akt.2022.7.119] [arXiv:2011.11859] - Topologies on schemes and modulus pairs
(with Bruno Kahn)
Nagoya Mathematical Journal, 244 283-313, Dec, 2021
[doi.org/10.1017/nmj.2020.15] [arXiv:1910.14595] - Structural reduction of chemical reaction networks based on topology
(with Yuji Hirono, Takashi Okada, Yoshimasa Hidaka)
Physical Review Research, 3(4), Nov 17, 2021
[doi:10.1103/PhysRevResearch.3.043123] [arXiv:2102.07687] - Nisnevich topology with modulus
Annals of K-theory, 5(3) 581-604, 2020
[doi:10.2140/akt.2020.5.581] [arXiv:1910.14579] - 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 (2021), Article Nr. 2, 1-40, Nov, 2019
[doi:10.46298/epiga.2021.volume5.5980] [arXiv:1910.14534] - Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs
(with Bruno Kahn, Shuji Saito, Takao Yamazaki)
Épijournal de Géométrie Algébrique, Volume 5 (2021), Article Nr. 1, 1-62, Aug, 2019
[doi:10.46298/epiga.2021.volume5.5979] [arXiv:1908.02975] - Cube invariance of higher Chow groups with modulus
Journal of Algebraic Geometry, 28 339-390, 2019
[doi:10.1090/jag/726] [arXiv:1604.06155] - Suslin’s moving lemma with modulus
(with Wataru Kai)
Annals of K-Theory, 3(1) 55-70, 2018
[doi:10.2140/akt.2018.3.55] [arXiv:1604.04356] - 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
[http://hdl.handle.net/2433/241278] - On a generalization and applications of modulus pairs
RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2014, B72, 101-117
[http://hdl.handle.net/2433/244738]
Awards
- FY2021 RIKEN BAIHO Award (RIKEN Excellent Achievement Award), Development of generalized theory of motives, RIKEN, March 2022
- FY 2020 SPDR Presentation Session Award, RIKEN, January 2021
Research projects and Grants
- (JSPS Kiban C: Representative: Hiroyasu Miyazaki)
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 - (JST CREST, Representative: Yoshinobu Kawahara) 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
- (JSPS Wakate Kenkyu, Representative: Hiroyasu Miyazaki)
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
(representative: Hiroyasu Miyazaki) - (JSPS Kenkyu Start Shien, Representative: 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 (representative: Hiroyasu Miyazaki) - (JSPS Gakushin DC)
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