研究論文

1. Some projective contraction theorems, Manuscripta Math., 22, (1977) 343-358
　
2. Moduli of subrings of a local ring, J. Alg., 67, (1980) 504-516

3. Global Moduli of equisingular complete curves, J. Alg., 78, (1982) 255-264

4. Moduli space of polarized del Pezzo surfaces and its compactifications,Tokyo J. of Math. 5,
　 (1982) 289-297

5. A characterization of hyperplane cuts of smooth complete
　 intersections, Proc. Japan Acad., 58,(1982) 309-311

6. Chow instability of certain projective varieties, Nagoya Math. J., 92,
　(1983)　39-50
　
7. On the pluri-genera and mixed Hodge structures of isolated　singularities, Proc. Japan
　 Acad., 59, (1983) 355-357

8. On isolated Gorenstein singularities, Math. Ann., 270, (1985) 541-554

9. Du Bois singularities on a normal surface, in Adv. St. in Pure Math. 8:Complex analytic
　 singularities, (1986) 153-163

10. Isolated Q-Gorenstein singularities of dimension three, Adv. Stu. in Pure Math. 8. Complex
　　analytic singularities, (1986) 165-198

11. "Small deformations of normal singularities," Math. Ann. 275, (1986) 139-148

12. Two dimensional singularities with bounded pluri-genera are Q-Gorenstein singularities,
　　Contemporary. Math., 90, (1989) 135-145

13. The asymptotic behavior of pluri-genera for a normal isolated singularity, Math. Ann., 286,
　　(1990) 803-812

14. Quasi-Gorenstein Fano 3-folds with the isolated non-rational loci Compositio Math., 77,
　　(1991) 335-341

15. Simultaneous canonical models of deformations of isolated singularities, Algebraic
　　 Geometry and Analytic Geometry, Proceeding of the Satellite Conference of ICM 90,
　　Springer Lecture Note, (1991)　 81-100

16. (with K.Watanabe) A geometric characterization of a simple K3-singularity, Tohoku Math. J.
　　44, (1992) 19-24

17. Plurigenera of normal isolated singularities, Singularity Theory, World Scientific, (1995)
　　263-275

18. A Fano 3-fold with non-rational singularities and a two-dimensional basis, Abh. Math.
　　Hamburg 64, (1994) 249-277

19. The canonical modifications by weighted blow-ups, J. of Alg. Geom. 5, (1996) 783-799

20. Minimal, canonical and log-canonical models of hypersurface singularities, Contem. Math.
　　 207, (1997) 63-77

21. (with H.Chen) On $-K^2$ for normal surface singularities, Int. J. Math. 9, (1998) 653-668

22. The minimal model theorem for divisors of toric varieties, Tohoku Math. J., 51, (1999)
　　 213-226

23. The quotient of log-canonical singularities by finite groups. Adv. St. in Pure Math. 29,
　　 (2000) 135-161

24. (with M.Tomari) Hypersurface non-rational singularities which look canonical from their
　　 Newton boundaries.Math. Zeitschrift, 237, (2001) 125-147

25. On toric image divisors. Comm. Alg., 29 (3), (2001) 1165-1173.

26. (with Y. Prokhorov) Hypersurface exceptional singularities. Int. J. Math.12, (2001) 661-687

27. (with H. Chen) On $-K^2$ for normal surface singularities II. Int. J. Math.11, (9), (2000)
　　 1193-1202

28. The invariant $-K^2$ and continued fractions for 2-dimensional cyclic quotient
　　singularities. Abh. Math. Sem. 72, (2002) 207-215

29. (with P. Milman) The geometric minimal models of analytic spaces. Math. Ann. 323, (2002)
　　 437-451

30. Extremal functions and prime blow-ups. Comm. Alg.32 (3), (2004) 819-827

31. (with J. Kollar) The Nash problem on arc families of singularities. Duke Math. J. 120, (2003)
　　 601-620

32. The arc space of a toric variety. J. Alg. 278, (2004) 666-683

33. Arcs, valuations and the Nash maps. J. reine und angewandte Math. 588, (2005) 71-92

34. The local Nash problem on arc families of singularities. Ann. de L'Institut Fourier. 56, (2006)
　　 1207-1224

35. Jet schemes, arc spaces and the Nash problem, C.R.Math. Rep. Acad. Canada, 29, (2007)
　　 1-21

36. Maximal divisorial sets in arc spaces, Adv. St. Pure Math. 50, (2008) 237-249

37. (with T. De Fernex & L. Ein) Divisorial valuations via arcs, Publ. RIMS 44, (2008) 425-448

38. Smoothness and jet schemes, Adv. St. Pure Math. 56, (2009) 187-199

39. (with J. Winkelmann) Isomorphisms of jet schemes, C. R. Math. Rep. Acad. Sci. Canada. 32,
　　 (2010) 19-23

40. Nash problem for a toric pair and the minimal log-discrepancy, C. R. Math. Acad. Sci. Paris
　　 348, (2010) 985-988

41. Geometric properties on jet schemes, Comm. Alg. 39, Number 5,
　　(2011) 1872-1882

42. （with K-i. Watanabe, A.Sannai) Jet schemes of homogeneous hypersurfaces，Singularities
　　in Geometry and Topology, Strasbourg 2009, (2012) 39-49

43. A supplement to Fujino's paper: On isolated log canonical singularities with index one, J.
　　 Math. Sci. Univ. Tokyo. 19, (2012) 135-138

44. Mather discrepancy and the arc spaces, Annales de l'Institut Fourier, 63, (2013) 89-111

45. (with L. Ein and M. Mustata) Multiplier ideals via Mather discrepancy, Adv. Studies in Pure
　　 Math.,70, (2017) 1-20

46. (with A. Reguera) Singularities with the highest Mather minimal log discrepancy, Math.
　　　Zeitschrift., 275, Issue 3-4, (2013) 1255-1274

47. (with L. Ein) Singularities with respect to the Mather-Jacobian discrepancies MSRI
　　Publications Volume 67, (2015) 125-168

48. (with Wenbo Niu) A strongly geometric general residual intersection, (preprint arXiv:
　　 1611.01581, ) AMS Contemporary Mathematics Volume 712, (2018) 197-210

49. (with A. Reguera) Singularities in arbitrary characteristic via jet
　　　schemes, arXiv:1510.05210, "Hodge theory and L^2 analysis",
　　　(2017) 419-449

50. Finite determination conjecture for Mather-Jacobian minimal log discrepancies and its
　　application, arXiv:1703.08500, European Journal of Mathmatics, 4 (4), (2018) 1433-1475

51. (with L. Ein and T. De Fernex) Jet closures and the local isomorphism problem, arXiv:
　　1704.07494, Journal of Algebra, 501, (2018) 166-181

52. Inversion of modulo p reduction and a partial descent from characteristic 0 to positive
　　 characteristic, (arXiv:1808.10155), Romanian Journal of Pure and Applied Math.
　　Vol. LXIV, No.4 (2019) 431-459

53. The minimal log discrepancies on a smooth surface in positive characteristic, (arXiv:
　　 1905.12792), Math. Zeitschrift, 297, (2021) 389-397

54. A bound of the number of weighted blow-ups to compute the minimal log discrepancy
　　for smooth 3-folds, ( arXiv:2105.11945【math.AG】), Math. Proc.Cambridge Phil. Soc.,
　　to appear

　　

書籍

1. 　特異点入門, シュプリンガーフェアラーク東京, 全263ページ, 1997

2.　 Introduction to Singularities,(233pages), 2014, Springer-Verlag

3. 　特異点： その形式と美, 現代数学の展望 (共著者15名),
　 　上野健爾, 志賀浩二,砂田利一編, 日本評論社, 全210ページ, 2001

4. 　Singularities in the world of mathematics, in "My Life"
　　(共著者12名), edited by Y.Kozai, T.Tominaga, T.Hisatome,
　　 K.Saruhashi, 内田老鶴圃 , 全332ページ

5. 　数学はいつも苦手だった, ボイテルスパッヒャー著, 石井志保子訳,
　　 日本評論社, 全247ページ, 2004

6. 　科学する心 - 日本の女性科学者たち (共著者18名), 岩男寿美子, 原ひろ子編 　
　 　全155ページ, 2007

7. 　運命のつながり - ガロワ理論, この定理が美しい (共著者20名), 数学書房,
　 　全195ページ, 2009

8. 　数学の道しるべ - 研究者の道とは何か (共著者19名), サイエンス社,
　 　全202ページ, 2011

9. 　「キュリー夫人伝」 科学者の本棚 （共著者64名）, 岩波書店, 全256ページ,
　　 2011

10.　Introduction to Singularities（2nd edition), (236pages), 2018,
　　　Springer-Verlag

11.　 Handbook of Geometry and Topology of Singularities �W, "Singularities the space of
　　 　arcs and applications to birational geometry", 161-210, 2023, Springer