Preprints

• (with Fei Ren) Duality for Hodge-Witt cohomology with modulus
  98 pages, 2024, https://arxiv.org/abs/2403.18763, submitted.
• (with Shuji Saito) Ramification theory of reciprocity sheaves, III, Abbes-Saito formula
  51 pages, 2022, https://arxiv.org/abs/2204.10637, submitted

Publications

• (with Stefan Schröer) Loops on schemes and the algebraic fundamental group
  Rev. Mat. Complut.(2024).
  https://doi.org/10.1007/s13163-024-00489-2.
• (with Shuji Saito) Ramification theory of reciprocity sheaves, II, Higher local symbols
  Eur. J. Math., 9, No. 56 (2023)
  https://doi.org/10.1007/s40879-023-00655-8.
• (with Shuji Saito) Ramification theory of reciprocity sheaves, I, Zariski-Nagata purity
  J. Reine Angew. Math. (Crelles Journal), 2023, No. 797 (2023), pp. 41-78.
  https://doi.org/10.1515/crelle-2022-0094.
• (with Shuji Saito) Cycle class maps for Chow groups of zero-cycles with modulus
  J. Pure Appl. Algebra 227, No. 5 (2023).
  doi.org/10.1016/j.jpaa.2022.107282.
• (with Federico Binda, Shuji Saito) On the cohomology of reciprocity sheaves
  Forum of Mathematics, Sigma (2022), Vol. 10:e72, 1-111.
  doi.org/10.1017/fms.2022.51
• (with Rin Sugiyama, Takao Yamazaki ) Tensor structures in the theory of modulus presheaves with transfers
  Math. Z. 300 (2022), pp. 929-977.
  https://doi.org/10.1007/s00209-021-02819-2
• (with Shuji Saito) Reciprocity sheaves and their ramification filtrations
  J. Inst. Math. Jussieu 22(1) (2023), pp. 71-144.
  https://doi.org/10.1017/S1474748021000074.
• (with Shuji Saito) Higher Chow groups with modulus and relative Milnor K-theory
  Trans. Amer. Math. Soc. 370 (2018), pp. 987-1043.
  http://arxiv.org/abs/1504.02669
• K hler differentials and de Rham-Witt differentials have reciprocity
  7 pages. Appendix to "Reciprocity sheaves, I" by Bruno Kahn, Shuji Saito, Takao Yamazaki. Compositio Mathematica, vol 152, issue 9 (2016), 1851-1898.
  http://arxiv.org/abs/1402.4201
• (with Takao Yamazaki) Suslin homology of relative curves with modulus
  Journal of the London Mathematical Society 2016.
  https://doi.org/10.1112/jlms/jdw006
• (with Florian Ivorra) K-groups of reciprocity functors
  J. Algebraic Geom. 26, No. 2 (2017), 199-278.
  http://arxiv.org/abs/1209.1217
• (with Andre Chatzistamatiou) Vanishing of the higher direct images of the structure sheaf
  Compositio Mathematica, vol 151, issue 11 (2015), 2131-2144.
  https://arxiv.org/abs/1404.1827
• (with Takao Yamazaki) A vanishing result for a K-group of reciprocity functors
  Journal of K-theory, vol 14, issue 03 (2014), 556-569.
  https://arxiv.org/pdf/1312.4205
• (with Andre Chatzistamatiou) Hodge-Witt Cohomology and Witt-rational singularities
  Documenta Mathematica, vol 17 (2012), 663-781.
• (with Pierre Berthelot, H l ne Esnault) Rational points over finite fields for regular models of algebraic varieties of Hodge type ≥1
  Annals of Mathematics, vol 176, No. 1 (2012), 413-508.
  http://arxiv.org/abs/1009.0178
• (with Andre Chatzistamatiou) Higher direct images of the structure sheaf in positive characteristic
  Algebra & Number Theory, vol 5, No. 6 (2011), 693-775.
  http://arxiv.org/abs/0911.3599
• The generalized de Rham-Witt complex over a field is a complex of zero-cycles
  J. Algebr. Geom. 16, No. 1 (2007), 109-169.
  In this Appendix to the article "de Rham-Witt sheaves via algebraic cylces", by A. Krishna and J. Park, the condition p ≠2 in the main theorems of the above article is removed.

Overview articles

• (with Nikolai Opdan) Lectures on the cohomology of reciprocity sheaves
  To appear in the Open Book Series.
• Reciprocity sheaves and abelian ramification theory
  This is a version of my contribution to the Oberwolfach Report No. 29/2019, Algebraic K-theory, organized by T. Geisser, L. Hesselholt, A. Huber-Klawitter, M.Kerz.
• (with Lars Kindler) Introductory course on l-adic sheaves and their ramification theory on curves
  Clay Mathematics Proceedings 21, pp. 103-229
  http://arxiv.org/abs/1409.6899
• (with Manuel Blickle, H l ne Esnault) Characteristic 0 and p analogies, and some motivic cohomology
  Global aspects of complex geometry, Springer, Berlin (2006), 59-82.
  http://arxiv.org/abs/math/0512190

Errata

• Erratum to The generalized de Rham-Witt complex over a field is a complex of zero-cycles J. Algebr. Geom. 16, No. 4, 793-795 (2007).
• A small Erratum to Higher direct images of the structure sheaf in positive characteristic One formula is corrected. This has no influence on any result or proof in the article.