[Preprints]

• Equi-dimensionalization via subdivision of simplices
  https://arxiv.org/abs/2403.03062

• Linear patterns in prime elements in number fields.
  https://arxiv.org/abs/2306.16983

• Notes on Mitsui's Prime Number Theorem with Siegel zeros. https://arxiv.org/abs/2209.11816

• The Green-Tao theorem for affine curves over F_q. https://arxiv.org/abs/2101.00839

• Constellations in prime elements of number fields. Joint with Masato Mimura, Akihiro Munemasa, Shin-ichiro Seki and Kiyoto Yoshino. https://arxiv.org/abs/2012.15669

[Published Articles]

• Unramified logarithmic Hodge--Witt cohomology and P^1-invariance. Joint with Shusuke Otabe and Takao Yamazaki. Forum of Mathematics, Sigma, Volume 10, 2022, e19.
  https://www.doi.org/10.1017/fms.2022.6 [open access!]
  https://arxiv.org/abs/2105.07433

• Isomorphism up to bounded torsion between relative K_0-groups and Chow groups with modulus. with Ryomei Iwasa, Journal of the Institute of Mathematics of Jussieu, Volume 20, Issue 6, November 2021, 1947--1968.
  https://doi.org/10.1017/S1474748020000055 [open access!]
  arxiv:1811.04675 [math.KT]

• A moving lemma for algebraic cycles with modulus and contravariance. [Based on my doctoral thesis.]
  International Mathematics Research Notices IMRN, Volume 2021, Issue 1, January 2021, Pages 475–522.
  https://doi.org/10.1093/imrn/rnz018 [open access!]
  arXiv:1507.07619 [math.AG] 

• Chern classes with modulus. with Ryomei Iwasa, Nagoya Math. J., 236 (2019) Shuji Saito 60 volume, 84-133
  https://doi.org/10.1017/nmj.2018.52
  arXiv:1611.07882 [math.KT]
  An online talk by my co-author.
  
  [Warning] There has been found a gap in the proof of the Whitney sum formula. Specifically, Proposition 3.4 doesn't follow so easily from the commutative diagram (11). Please wait for an update, although I haven't been able to have enough time for this. (08 May 2021)

• Notes on a p-adic exponential map for the Picard group. TOKYO J. MATH. VOL. 42, NO. 1, 2019, 35--49.
  DOI: 10.3836/tjm/1502179262
  arXiv:1309.6186 [Based on my master's thesis.]

• Suslin’s moving lemma with modulus. with H. Miyazaki. Ann. K-theory 3 (1) 2018, 55-70. https://doi.org/10.2140/akt.2018.3.55
  arXiv:1604.04356

• Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus. with F. Binda, J. Cao, R. SugiyamaJ. Algebra 469 (2017) 437–463.
  https://dx.doi.org/10.1016/j.jalgebra.2016.07.036
  arXiv:1503.02161 [Based on our collaboration during my visit to Essen in summer 2014.]

• A higher-dimensional generalization of Lichtenbaum duality in terms of the Albanese map. Compos. Math. 152 (2016) 1915–1934.
  https://doi.org/10.1112/S0010437X16007600
  arXiv:1512.02026

[Survey]

• 素数の組み合わせ論の高次元化---数体の素元に隠れた「星座」 (= Combinatorics of prime numbers in higher dimensions---"constellations" hidden in prime elements of number fields),  東北大学理学研究科・理学部ページ「お知らせ」2025年1月23日
  https://www.sci.tohoku.ac.jp/news/20250123-13546.html

• 数体におけるGreen-Taoの定理. (In Japanese. "The Green-Tao theorem for number fields") in RIMS Kôkyûroku No.2225 代数的整数論とその周辺 Algebraic Number Theory and Related Topics. Not peer-reviewed. 4 figures.
  https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2225.html

• Chow's moving lemma with modulus.in K-Theory (the Proceedings of International Colloquium 2016 on K-theory TIFR), 127--142, Hindustan Book Agency, New Delhi, India, 2018.

• 数体の素元に現れる線形パターン (= Linear patterns of prime elements in number fields)

  • • 日本数学会東北支部会, 2025年2月15日(15分間). http://www.math.tohoku.ac.jp/MSJ/shibukai2024.html

    • 東北大学数学専攻談話会, 2025年1月27日.

    • 神楽坂代数セミナー, 東京理科大学 (東京都千代田区), 2024年12月5日. https://www.rs.tus.ac.jp/kida/seminar2024.html

• Linear patterns of prime elements in number fields 

  • • 2025 Feb 17: Motives in Tokyo 2025

• • • 2024 Sep 17: L-functions and Motives in Niseko 2024

• • • 2024 Feb: Séminaire de théorie des nombres de l'IMJ-PRG
      https://www.imj-prg.fr/tn/STN/stnj.html
    • 2024 Jan 9: New Directions in Rational Points (50 minutes)
      https://www.birs.ca/events/2024/5-day-workshops/24w4002
    • 2023 Nov 8: London Number Theory Seminar
      https://researchseminars.org/talk/LNTS/113/

• 代数的整数の中で「素数」はどう配置されているか (= How are "primes" located in algebraic integers?)
  2024年6月20日, 基礎数学セミナー, NTT基礎数学研究センタ（オンライン）
  https://www.rd.ntt/ifm/topics/lecture-20240620.html

• Techniques to move algebraic cycles, old and new 

  • Seminar on periods and motives, 清華大学丘成桐数学科学中心 (Yau Mathematical Sciences Center, Tsinghua University), China (online), 25 April 2024.
    https://ymsc.tsinghua.edu.cn/info/1053/3465.htm
    Video recording:
    http://archive.ymsc.tsinghua.edu.cn/pacm_lecture?html=Techniques_to_move_algebraic_cycles_old_and_new.html

• The Green-Tao Theorem for number fields and beyond

  • • 2023 Jun 15: Gruppen und topologische Gruppen, University of Milan (35 minutes)
      https://www.gtgconference.eu/GtGMilano2023/

• The Green-Tao theorem for number fields (and beyond). 

• 2023 Mar 9: Gauge Fields in Arithmetic, Topology & Physics (20 minutes)

• • • 2022 Dec 16: Arithmetic Geometry Seminar, University of Milan

• The Green-Tao theorem for number fields 

  • • 2021 Dec 16: Algebraic Number Theory and Related Topics, Kyoto University RIMS. Notes
    • 2021 Nov 22: Number Theory Seminar, Tohoku University. Notes
    • 2021 May 05: Oberseminar Topologie, Universität Osnabrück. Whiteboards
    • 2021 Mar 22: Math Seminar at RIKEN, Japan. 

• • • 2021 Feb 09: Algebraic Geometry Seminar at KAIST.

• Yatsugatake Workshop 2025 (along with many co-organizers)

• Algebraic Number Theory and Related Topics 2023 (as a program committee member)

• Singularities and Arithmetic, 2020 (as one of the local organizers)

• Yatsugatake workshop 2019 (along with many co-organizers)

• Yatsugatake workshop 2016 (along with co-organizers)