List of English publications and a French publication

Articles

1. Graded quotients of ramification groups of local fields with imperfect residue fields
   Amer. J. Math.145(2023), no.5, 1389--1464. arxiv DOI: https://doi.org/10.1353/ajm.2023.a907702
2. A characterization of ramification groups of local fields with imperfect residue fields arxiv
   Arithmetic Geometry, pp 421-433 proceedings of International conference on arithmetic geometry 2020, TIFR.
3. Cotangent bundles and micro-supports in mixed characteristic case,
   Algebra & Number Theory 16-2 (2022), 335--368. DOI 10.2140/ant.2022.16.335 arxiv
4. Frobenius-Witt differentials and regularity,
   Algebra & Number Theory 16-2 (2022), 369--391. DOI 10.2140/ant.2022.16.369 arxiv
5. Characteristic cycles and the conductor of direct image,
   Journal of the American Mathematical Society 34 (2021), 369--410. https://doi.org/10.1090/jams/959 arxiv
6. Coincidence of two Swan conductors of abelian characters, with Kazuya Kato,
   Épijournal de Géométrie Algébrique, epiga:5395, 11 novembre 2019, Volume 3
7. Refined Swan conductors mod p of one-dimensional Galois representations, with Kazuya Kato and Isabel Leal,
   Nagoya Mathematical Journal 236 (2019), 134--182. https://doi.org/10.1017/nmj.2019.13
8. Ramification groups of coverings and valuations,
   Tunisian Journal of Mathematics Vol. 1, No. 3, 373-426, 2019 dx.doi.org/10.2140/tunis.2019.1.373 arxiv
   Correction
9. On the proper push-forward of the characteristic cycle of a constructible sheaf,
   Proceedings of Symposia in Pure Mathematics Volume: 97; 2018; Algebraic Geometry: Salt Lake City 2015, Part 2, 485-494 arxiv
10. Wild ramification determines the characteristic cycle (with Yuri Yatagawa),
    Annales Scientifiques de l'Ecole normale superieure, 50, fascicule 4 (2017), 1065-1079. doi:10.24033/asens.2339
11. Characteristic cycle of the external product of constructible sheaves,
    Manuscripta Mathematica, 154, Issue 1-2, 2017, pp 1-12. DOI: 10.1007/s00229-016-0913-4
12. Wild ramification and the cotangent bundle,
    Journal of Algebraic Geometry, 26 (2017), 399-473. DOI: https://doi.org/10.1090/jag/681
13. The characteristic cycle and the singular support of a constructible sheaf,
    Inventiones mathematicae, 207(2) (2017), 597-695, DOI10.1007/s00222-016-0675-3
    Correction, Correction 2
    Inventiones mathematicae, 216(3), 1005-1006 DOI 10.1007/s00222-019-00876-3 arxiv an old version before Beilinson's work
14. Characteristic cycle and the Euler number of a constructible sheaf on a surface arXiv:1402.5720
    Kodaira Centennial issue of the Journal of Mathematical Sciences, the University of Tokyo, vol 22, 2015 pp. 387-442.
15. Ramification theory for varieties over a local field, with Kazuya Kato,
    Publications Mathematiques, IHES. 117, Issue 1 (2013), Page 1-178 arXiv:1007.0310
    
16. The determinant and the discriminant of a hypersurface of even dimension. arXiv:1110.1717,
    Mathematical Research Letters. 19 (2012), no. 04, 855-871
17. The second Stiefel-Whitney classes of l-adic cohomology,
    Journal fur die reine und angewandte Mathematik, Volume 2013, Issue 681, Pages 101-147, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle-2012-0035, August 2013
18. Ramification and cleanliness (with Ahmed Abbes),
    Tohoku Mathematical Journal, Centennial Issue, 63 No. 4 (2011), 775-853. arXiv:1007.3873
19. Ramification of local fields with imperfect residue fields III,
    Mathematische Annalen, 352, Issue 3 (2012), 567-580.
20. Local Fourier transform and epsilon factors (with Ahmed Abbes)
    Compositio Mathematica, 146-6, (2010) 1507-1551.
21. Hilbert modular forms and p-adic Hodge theory,
    Compositio Mathematica, 145-5, (2009) 1081-1113.
22. Wild ramification and the characteristic cycle of an l-adic sheaf,
    Journal de l'Institut de Mathematiques de Jussieu, (2009) 8(4), 769-829 corrections(18/06/11)
23. Analyse micro-locale l-adique en caractéristique p>0: Le cas d'un trait (with Ahmed Abbes)
    Publication of the Research Institute for Mathematical Sciences 45-1 (2009) 25-74
24. Ramification theory for varieties over a perfect field (with Kazuya Kato)
    Annals of Mathematics, 168 (2008), 33-96.
25. The characteristic class and ramification of an l-adic étale sheaf (with Ahmed Abbes)
    Inventiones Mathematicae 168 No. 3 (2007) 567-612
26. On the conductor formula of Bloch (with Kazuya KATO). corrections
    Publications Mathematiques, IHES 100, (2004), 5-151.
27. Parity in Bloch's conductor formula.
    Journal de Théorie des Nombres de Bordeaux, 16-2 (2004), 403-421.
28. Log smooth extension of family of curves and semi-stable reduction,
    Journal of Algebraic Geometry, 13 (2004), 287-321
29. Ramification of local fields with imperfect residue fields II (with Ahmed ABBES),
    Documenta Mathematica, Extra Volume Kato (2003), 5-72
30. Weight spectral sequences and independence of l,
    Journal de l'Institut de Mathematiques de Jussieu 2 (4), (2003), 583-634.
31. Ramification of local fields with imperfect residue fields (with Ahmed ABBES),
    American Journal of Mathematics, 124.5 (2002), 879-920
32. (with Qing Liu) Inequality for conductor and differentials of a curve over a local field,
    J. of Algebraic Geometry 9 (2000) 409-424
    
33. Weight-monodromy conjecture for l-adic representations associated to modular forms, A supplement to the paper [32],
    in B.B.Gordon et al.(eds.), The arithmetic and geometry of algebraic cycles, 427-431.
    
34. Modular forms and p-adic Hodge theory,
    Inventiones Math. 129 (1997) 607-620
    
35. (with T.Terasoma) Determinant of period integrals,
    J. of American Math. Soc. 10 (1997) 865-937
    
36. The sign of functional equation of the L-function of an orthogonal motive,
    Inventiones Math. 120 (1995) 119-142
    
37. Local constant of Ind^L_K1,
    Commentary Math. Helv. 70 (1995) 507-515
    
38. Jacobi sum Hecke characters, de Rham discriminant, and the determinant of l-adic cohomologies,
    J. of Algebraic Geometry 3 (1994) 411-434
    
39. $\epsilon$-factor of a tamely ramified sheaf on a variety,
    Inventiones Math. 113 (1993) 389-417
    
40. The Euler numbers of l-adic sheaves of rank 1 in positive characteristic,
    ICM-90 Satellite conf. Proc. 1991 165-181 pdf
    
41. The discriminants of curves of genus 2,
    Compositio Math. 69 (1989) 229-240
    
42. Self-intersection 0-cycles and coherent sheaves on arithmetic schemes,
    Duke Math. J. 57 (1988) 555-578
43. Conductor, discriminant, and the Noether formula of arithmetic surfaces,
    Duke Math. J. 57 (1988) 151-173
    
44. (with K.Kato and S.Saito) Artin characters for algebraic surfaces,
    American J. of Math. 110 (1988) 49-75
    
45. Vanishing cycles and geometry of curves over a discrete valuation ring,
    American J. of Math. 109 (1987) 1043-1085
    
46. Trace formula for vanishing cycles of curves,
    Math. Ann. 276 (1987) 311-315
47. Vanishing Cycles and Differentials of Curves over a Discrete Valuation Ring,
    Adv. Stud. Pure Math. Galois Representations and Arithmetic Algebraic Geometry, Y. Ihara, ed., (1987) 265 - 286

Preprints

1. On singular supports in mixed characteristic, arxiv
2. Holonomic étale sheaves are holonomic, with A. Abbes, arxiv
3. Notes on the proof of the theorem of Hasse--Arf pdf
4. Ramification groups and local constants pdf

Notes on singular supports and characteristic cycles

• Notes
• Notes from the Guest seminar at Freie Universitat Berlin, June 30-July 7, 2015 taken by Lars Kindler.
• Notes SS , Notes CC , Taiwan National University, November 2024, February 2025.

Surveys and others

1. An overview of the mathematical work of Fumiyuki Momose, Contemporary Mathematics 701, pp 1-8.
2. Perfectoid spaces and the weight-monodromy conjecture, after Peter Scholze, Acta Mathematica Vietnamica, March 2014, Volume 39, Issue 1, pp 55-68, DOI: 10.1007/s40306-013-0044-x
3. Wild ramification of schemes and sheaves, Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, 335-356
4. An introduction to Galois representations and modular forms. Autour des Motifs III, Panoramas et Syntheses 49, SMF 1-27.
5. Galois representations in arithmetic geometry. suams.pdf (published in Sugaku exposition) (01/04/26)
6. Galois representations in arithmetic geometry II (translated by Masato Kuwata). GR2.pdf (published in Sugaku exposition) (02/04/08)

Books

1. Fermat's Last Theorem : Basic Tools (translated by M. Kuwata) (2013)
2. Fermat's Last Theorem : The proof (translated by M. Kuwata) (2014)
3. Number theory 1, Fermat's dream
   (with K. Kato, N. Kurokawa, translated by M. Kuwata) (2000)
4. Number theory 2, Introduction to Class Field Theory
   (with K. Kato, N. Kurokawa, translated by M. Kuwata) (2011)
5. Number theory 3, Iwasawa Theory and Modular Forms
   (with N. Kurokawa, M. Kurihara translated by M. Kuwata) (2012)