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
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Spring-Summer semester 2021: Culculus I (part-time)
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Spring-Summer semester 2020: Culculus I (part-time, online)
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Spring-Summer semester 2019: Linear Algebra I (part-time)
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Spring-Summer semester 2017: Linear Algebra I (part-time)
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Summer Semester (Komaba campus, online):
Academic Frontier Lecture
Papers
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Modulus sheaves with transfers
(with Shane Kelly)
arXiv:2106.12837 (2021)
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Motives with modulus, III: The categories of motives
(with Bruno Kahn,Shuji Saito,Takao Yamazaki)
arXiv:2011.11859 (2020)
, to appear in Annals of K-theory.
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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
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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 (January 21, 2021) epiga:7114
arXiv:1908.02975
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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
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Nisnevich topology with modulus
Annals of K-theory 5(3) 581 - 604 (2019)
arXiv:1910.14579
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Cube invariance of higher Chow groups with modulus
Journal of Algebraic Geometry, 28, pp 339-390 (2019).
arXiv
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Suslin's moving lemma with modulus
(with Wataru Kai)
Annals of K-theory, 3, No. 1, pp 55–70 (2018).
arXiv
Interdisciplinary research
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Structural reduction of chemical reaction networks based on topology
(with Yuji Hirono、Takashi Okada、Yoshimasa Hidaka)
arXiv:2102.07687 (2021)
Physical Review Research 3(4)
Survey (Refereed)
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On a generalization and applications of modulus pairs
RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2014
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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
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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)