Research Interests

1. Low Dimensional Topology
2. Topology of Complex Isolated Hypersurface Singularities
3. Global Theory of Singularities of Differentiable Maps
4. High Dimensional Knot Theory
5. Asymptotic Behavior of Generalized Fibonacci Sequences
6. Data Visualization Based on Differential Topology
7. Topological Data Analysis of Materials

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Published Papers (refereed)

1.O. Saeki, On simple fibered knots in S^5 and the existence of decomposable algebraic 3-knots, Comment. Math. Helv. 62 (1987), 587-601.

2. O. Saeki, Knotted homology spheres defined by weighted homogeneous polynomials, J. Fac. Sci. Univ. Tokyo 34 (1987), 43-50.

3. O. Saeki, Knotted homology 3-spheres in S^5, J. Math. Soc. Japan 40 (1988), 65-75.

4. O. Saeki, Cobordism classification of knotted homology 3-spheres in S^5, Osaka J. Math. 25 (1988), 213-222.

5. O. Saeki, Topological invariance of weights for weighted homogeneous isolated singularities in C^3, Proc. Amer. Math. Soc. 103 (1988), 905-909.

6. O. Saeki, Topological types of complex isolated hypersurface singularities, Kodai Math. J. 12 (1989), 23-29.

7. O. Saeki, Simply connected 4-manifolds of second betti number 1 bounded by homology lens spaces, J. Math. Soc. Japan 41 (1989), 593-606.

8. S. Fukuhara, Y. Matsumoto, and O. Saeki, An estimate for the unknotting numbers of torus knots, Topology Appl. 38 (1991), 293-299.

9. O. Saeki, On 4-manifolds homotopy equivalent to the 2-sphere, Adv. Stud. Pure Math. 20 (1992), 301-330.

10. O. Saeki, Notes on the topology of folds, J. Math. Soc. Japan 44 (1992), 551-566.

11. O. Saeki, Topology of special generic maps of manifolds into Euclidean spaces, Topology Appl. 49 (1993), 265-293.

12. C. Biasi, W. Motta, and O. Saeki, A note on separation properties of codimension-1 immersions with normal crossings, Topology Appl. 52 (1993), 81-87.

13. O. Saeki, Simple stable maps of 3-manifolds into surfaces II, J. Fac. Sci. Univ. Tokyo 40 (1993), 73-124.

14. O. Saeki, Topology of special generic maps into R^3, Matemática Contemporânea 5 (1993), 161-186.

15. O. Saeki, Stable maps and links in 3-manifolds, Kodai Math. J. 17 (1994), 518-529.

16. N. Honma and O. Saeki, On Milnor's curvature-torsion invariant for knots and links, Kobe J. Math. 11 (1994), 225-239.

17. S. Kikuchi and O. Saeki, Remarks on the topology of folds, Proc. Amer. Math. Soc. 123 (1995), 905-908.

18. C. Biasi, W. Motta and O. Saeki, A remark on the separation by immersions in codimension-1, Topology Appl. 61 (1995), 179-186.

19. O. Saeki, Studying the topology of Morin singularities from a global viewpoint, Math. Proc. Camb. Phil. Soc. 117 (1995), 223-235.

20. O. Saeki, Separation by a codimension-1 map with a normal crossing point, Geom. Dedicata 57 (1995), 235-247.

21. W. Motta, P. Porto and O. Saeki, Stable maps of 3-manifolds into the plane and their quotient spaces, Proc. London Math. Soc. 71 (1995), 158-174.

22. C. Biasi and O. Saeki, On the Betti number of the image of a codimension-k immersion with normal crossings, Proc. Amer. Math. Soc. 123 (1995), 3549-3554.

23. O. Saeki, Constructing generic smooth maps of a manifold into a surface with prescribed singular loci, Ann. Inst. Fourier 45 (1995), 1135-1162.

24. J. J. Nuño Ballesteros and O. Saeki, Singular surfaces in 3-manifolds, the tangent developable of a space curve and the dual of an immersed surface in 3-space, Pitman research Notes in Mathematics Series 333, 1995, pp.49-64.

25. O. Saeki and K. Sakuma, Immersed n-manifolds in R^2n and the double points of their generic projections into R^2n-1, Trans. Amer. Math. Soc. 348 (1996), 2585-2606.

26. M. Kobayashi and O. Saeki, Simplifying stable mappings into the plane from a global viewpoint, Trans. Amer. Math. Soc. 348 (1996), 2607-2636.

27. O. Saeki, Simple stable maps of 3-manifolds into surfaces, Topology 35 (1996), 671-698.

28. C. Biasi and O. Saeki, On bordism invariance of an obstruction to topological embeddings, Osaka J. Math. 33 (1996), 729-735.

29. O. Saeki, A converse of the Jordan-Brouwer theorem for quasi-regular immersions, Illinois J. Math. 40 (1996), 108-114.

30. L. A. Lucas, O. M. Neto, and O. Saeki, A generalization of Alexander's torus theorem to higher dimensions and an unknotting theorem for S^p X S^q embedded in S^p+q+2, Kobe J. Math. 13 (1996), 145-165.

31. O. Saeki, Global theory of singularities of differentiable mappings: present status and prospects (in Japanese) Sugaku 48 (1996), 385-399. (English translation: Global theory of singularities of differentiable mappings: present status and prospects, Sugaku Expositions 12 (1999), 21-37.)

32. C. Biasi and O. Saeki, On the Betti number of the image of a generic map, Comment. Math. Helv. 72 (1997), 72-83.

33. C. Biasi and O. Saeki, On the self-intersection set and the image of a generic map, Mathematica Scandinavica 80 (1997), 5-24.

34. F. Dubeau, W. Motta, M. Rachidi, and O. Saeki, On weighted r-generalized Fibonacci sequences, Fibonacci Quarterly 35 (1997), 102-110.

35. C. Kearton, O. Saeki, and S. M. J. Wilson, Finiteness results for knots and singularities, Kobe J. Math. 14 (1997), 197-206.

36. O. Saeki, On topological invariance of weights for quasihomogeneous polynomials, Pitman research Notes in Mathematics Series 381, 1998, pp.207-214.

37. J. J. Nuño Ballesteros and O. Saeki, On the number of singularities of a generic surface with boundary in a 3-manifold, Hokkaido Math. J. 27 (1998), 517-544.

38. O. Saeki and K. Sakuma, Maps with only Morin singularities and the Hopf invariant one problem, Math. Proc. Camb. Phil. Soc. 124 (1998), 501-511.

39. O. Saeki and K. Sakuma, On special generic maps into R^3, Pacific J. Math. 184 (1998), 175-193.

40. C. Biasi and O. Saeki, Transversality with deficiency and a conjecture of Sard, Trans. Amer. Math. Soc. 350 (1998), 5111-5122.

41. A. Katanaga and O. Saeki, Embeddings of quaternion space in S^4, J. Austral. Math. Soc. Ser. A 65 (1998), 313-325.

42. O. Saeki and K. Sakuma, Stable maps between 4-manifolds and elimination of their singularities, J. London Math. Soc. (2) 59 (1999), 1117-1133.

43. C. Biasi, A. K. M. Libardi, and O. Saeki, On the Betti number of the union of two generic map images, Topology Appl. 95 (1999), 31-46.

44. O. Saeki and K. Sakuma, Elimination of singularities: Thom polynomial and beyond, in “Singularity Theory”, ed. Bill Bruce and David Mond, Proceedings of the European Singularities Conference, Liverpool, August 1996, Dedicated to C. T. C. Wall on the occasion of his 60th birthday, London Math. Soc. Lect Note Series 263, Cambridge University Press, 1999, pp.291-304.

45. W. Motta, M. Rachidi, and O. Saeki, On ∞-generalized Fibonacci sequences, Fibonacci Quarterly 37 (1999), 223-232.

46. O. Saeki, On algebraic unknotting numbers of knots, Tokyo J. Math. 22 (1999), 425-443.

47. O. Saeki and K. Sakuma, Special generic maps of 4-manifolds and compact complex analytic surfaces, Math. Ann. 313 (1999), 617-633.

48. O. Saeki, On punctured 3-manifolds in 5-sphere, Hiroshima Math. J. 29 (1999), 255-272.

49. A. Katanaga, O. Saeki, M. Teragaito, and Y. Yamada, Gluck surgery along a 2-sphere in a 4-manifold is realized by surgery along a projective plane, Michigan Math. J. 46 (1999), 555-571.

50. O. Saeki, Theory of fibered 3-knots in S^5 and its applications, J. Math. Sci. Univ. Tokyo 6 (1999), 691-756.

51. O. Saeki, Real Seifert form determines the spectrum for semiquasihomogeneous hypersurface singularities in C^3, J. Math. Soc. Japan 52 (2000), 409-431.

52. W. Motta and O. Saeki, A two colour theorem and the fundamental class of a polyhedron, in “Real and complex singularities”, ed. J. W. Bruce and F. Tari, Proceedings of the 5th Workshop on Real and Complex Singularities, Brazil, CHAPMAN & HALL/CRC research notes in Math. 412, 2000, pp.94-109.

53. W. Motta, M. Rachidi, and O. Saeki, Convergent ∞-generalized Fibonacci sequences, Fibonacci Quarterly 38 (2000), 326-333.

54. C. Biasi, J. Daccach and O. Saeki, On R-bordism of maps and obstruction to topological embeddings, Osaka J. Math. 37 (2000), 527-535.

55. T. Kobayashi and O. Saeki, Rubinstein-Scharlemann graphic of 3-manifold as the discriminant set of a stable map, Pacific J. Math. 195 (2000), 101-156.

56. V. L. Carrara, M. A. S. Ruas, and O. Saeki, Maps of manifolds into the plane which lift to standard embeddings in codimension two, Topology Appl. 110 (2001), 265-287.

57. J. J. Nuño Ballesteros and O. Saeki, Euler characteristic formulas for simplicial maps, Math. Proc. Camb. Phil. Soc. 130 (2001), 307-331.

58. C. Biasi, J. Daccach and O. Saeki, A primary obstruction to topological embeddings for maps between generalized manifolds, Pacific J. Math. 197 (2001), 275-289.

59. B. Bernoussi, W. Motta, M. Rachidi and O. Saeki, Approximation of ∞-generalized Fibonacci sequences and their asymptotic Binet formula, Fibonacci Quarterly 39 (2001), 168-180.

60. C. Biasi, J. Daccach and O. Saeki, A primary obstruction to topological embeddings and its applications, Manuscripta Math. 104 (2001), 97-110.

61. L. A. Lucas and O. Saeki, Diffeomorphisms of a product of spheres and embedded spheres, Topology Appl. 123 (2002), 471-478.

62. L. A. Lucas and O. Saeki, Embeddings of S^p X S^q X S^r into S^p+q+r+1, Pacific J. Math. 207 (2002), 447-462.

63. O. Saeki, A. Szucs, and M. Takase, Regular homotopy classes of immersions of 3-manifolds into 5-space, Manuscripta Math. 108 (2002), 13-32.
the preprint is available at http://front.math.ucdavis.edu/math.GT/0105077

64. O. Saeki, Open books on 5-dimensional manifolds, Hiroshima Math. J. 32 (2002), 189-205.
.pdf file is here

65. V. Blanlœil and O. Saeki, Theory of concordance for non-spherical 3-knots, Trans. Amer. Math. Soc. 354 (2002), 3955-3971.
the preprint is available at http://hal.archives-ouvertes.fr/hal-00129670/fr/

66. O. Saeki and M. Takase, Spin structures and codimension two embeddings of 3-manifolds up to regular homotopy, Trans. Amer. Math. Soc. 354 (2002), 5049-5061.

67. O. Saeki, Cobordism groups of special generic functions and groups of homotopy spheres, Japanese J. Math. 28 (2002), 287-297.

68. O. Saeki, Fold maps on 4-manifolds, Comment. Math. Helv. 78 (2003), 627-647.

69.  K. Ikegami and O. Saeki, Cobordism group of Morse functions on surfaces, J. Math. Soc. Japan 55 (2003), 1081-1094.

70. T. Ohmoto, O Saeki, and K. Sakuma, Self-intersection class for singularities and its application to fold maps, Trans. Amer. Math. Soc. 355 (2003), 3825-3838.

71. B. Bernoussi, M. Rachidi and O. Saeki, Extending Bernoulli-Euler's method for finding zeros of holomorphic functions, Fibonacci Quarterly 42 (2004), 55-65.

72. O. Saeki and Y. Takeda, Canceling branch points and cusps on projections of knotted surfaces in 4-space, Proc. Amer. Math. Soc. 132 (2004), 3097-3101.

73. W. Motta, M. Rachidi, and O. Saeki, Generalized Fibonacci sequences and Ostrowski's theorem, Journal of Interdisciplinary Mathematics 7 (2004), 221-231.

74. B. Bernoussi, M. Rachidi and O. Saeki, Factorial Binet formula and distributional moment formulation of generalized Fibonacci sequences, Fibonacci Quarterly 42 (2004), 320-329.

75. B. Bernoussi, W. Motta, M. Rachidi and O. Saeki, On periodic ∞-generalized Fibonacci sequences, Fibonacci Quarterly 42 (2004), 361-367.

76. V. Blanlœil, Y. Matsumoto and O. Saeki, Pull back relation for non-spherical knots, J. Knot Theory Ramifications 13 (2004), 689-701.

77. O. Saeki, Topology of singular fibers of differentiable maps, Lecture Notes in Math., Vol. 1854,  Springer-Verlag, 2004.
preprint version: .ps file is here pdf file is here
book version (preliminary version): .pdf file is here

78. L. A. Lucas and O. Saeki, Codimension one embeddings of product of three spheres, Topology Appl. 146-147 (2005), 409-419.

79. O. Saeki and K. Suzuoka, Generic smooth maps with sphere fibers, J. Math. Soc. Japan 57 (2005), 881-902.

80. V. Blanlœil et O. Saeki, Cobordisme des surfaces plongées dans S^4 , Osaka J. Math. 42 (2005), 751-765.
.dvi file is here

81. O. Saeki, Stable mapping class groups of 4-manifolds with boundary, Trans. Amer. Math. Soc. 358 (2006), 2091-2104
.dvi file is here

82. O. Saeki, Morse functions with sphere fibers, Hiroshima Math. J. 36 (2006), 141-170.

83. O. Saeki, Elimination of definite fold, Kyushu J. Math. 60 (2006), 363-382.

84. O. Saeki and T. Yamamoto, Singular fibers of stable maps and signatures of 4-manifolds, Geometry & Topology 10 (2006), 359-399.

85. O. Saeki, Cobordism of Morse functions on surfaces, universal complex of singular fibers, and their application to map germs, Algebraic and Geometric Topology 6 (2006), 539-572.

86. M. Rachidi and O. Saeki, Extending generalized Fibonacci sequences and their Binet type formula, Advances in Difference Equations 2006 (2006) Article ID 23849, 11 pages. doi:10.1155/ADE/2006/23849

87. S. Massago, O. M. Neto and O. Saeki, Open book structures on (n-1)-connected (2n+1)-manifolds, J. Math. Sci. Univ. Tokyo 13 (2006), 439-523.

88. V. Blanlœil et O. Saeki, Concordance des nœuds de dimension 4, Canadian Mathematical Bulletin 50 (2007), 481-485.
.dvi file is here

89. V. Blanlœil and O. Saeki, Cobordism of fibered knots and related topics, in Singularities in Geometry and Topology 2004, Advanced Stud. in Pure Math. 46 (2007), 1-47.
.pdf file is here

90. O. Saeki and T. Yamamoto, Singular fibers and characteristic classes, Topology Appl. 155 (2007), 112-120.
.pdf file is here

91. . Saeki, Topology of singular fibers of differentiable maps (in Japanese),Sugaku 60, (2008), 46-67.

92. J. T. Hiratuka and O. Saeki, Number of singularities of stable maps, Journal of Geometry 89 (2008), 53-69.

93. O. Saeki and Y. Takeda, On 2-knots with total width eight, Illinois J. Math. 52 (2008), 825-838.

94. O. Saeki and Y. Takeda, Surface links and their generic planar projections, J. Knot Theory Ramifications 18 (2009), 41-66.

95. K. Ikegami and O. Saeki, Cobordism of Morse maps and its application to map germs, Math. Proc. Camb. Phil. Soc. 147 (2009), 235-254.
http://dx.doi.org/doi:10.1017/S0305004109002321

96. R. Sadykov, O. Saeki and K. Sakuma, Obstructions to the existence of fold maps, J. London Math. Soc. (2) 81 (2010), 338-354.
doi:10.1112/jlms/jdp072
Published online on January 21, 2010.
http://jlms.oxfordjournals.org/cgi/content/abstract/jdp072v1

97. O. Saeki, Special generic maps on open 4-manifolds, J. of Singularities 1 (2010), 1-12.

98. O. Saeki, Singular fibers and 4-dimensional cobordism group, Pacific J. Math. 248 (2010), 233-256.

99. F. Morishita and O. Saeki, Height functions on surfaces with three critical values, J. Math. Soc. Japan 63 (2011), 153-162.

100. Y. Masumoto and O. Saeki, A smooth function on a manifold with given Reeb graph, Kyushu J. Math. 65 (2011), 75-84.
.pdf file is here

101. V. M. do Nascimento and O. Saeki, Curves in homogeneous spaces and their contact with 1-dimensional orbits, Geometriae Dedicata 154 (2011), 117-131.

102. V. Blanlœil and O. Saeki, Cobordism of algebraic knots defined by Brieskorn polynomials, Tokyo J. Math. 34 (2011), 429-443.
Preprint is available at arXiv:0903.4253v1 [math.GT].

103. L. A. Lucas and O. Saeki, Fox property for codimension one embeddings of product of three spheres into spheres, Algebraic and Geometric Topology 11 (2011), 3043-3064.

104. V. Blanlœil and O. Saeki, Cobordism of exact links, Algebraic and Geometric Topology 12 (2012), 1443–1455.
Preliminary version is available at arXiv:1111.4086v1 [math.GT].

105. J. T. Hiratuka and O. Saeki, Triangulating Stein factorizations of generic maps and Euler characteristic formulas, RIMS Kôkyûroku Bessatsu B38 (2013), 61-89.

106. O. Saeki and M. Takase, Desingularizing special generic maps, Journal of Gökova Geometry Topology 7 (2013), 1-24.

107. J. T. Hiratuka and O. Saeki, Connected components of regular fibers of differentiable maps, in “Topics on Real and Complex Singularities”, Proceedings of the 4th Japanese-Australian Workshop (JARCS4), Kobe 2011, World Scientific, 2014, pp. 61–73.
.pdf file is here

108. O. Saeki, S. Takahashi, D. Sakurai, Hsiang-Yun Wu, K. Kikuchi, H. Carr, D. Duke, and T. Yamamoto, Visualizing multivariate data using singularity theory, The Impact of Applications on Mathematics, Proceedings of Forum "Math-for-Industry" 2013, pp.51-65, Springer, 2014.

109. O. Saeki and S. Takahashi, Visual data mining based on differential topology: a survey, Pacific Journal of Mathematics for Industry 6 (2014), Article 4.

110. O. Saeki, Topology of manifolds and global theory of singularities, RIMS Kôkyûroku Bessatsu B55 (2016), 185-203.

111. R. Araújo dos Santos, M. A. B. Hohlenwerger, O. Saeki and T. O. Souza, New examples of Neuwirth--Stallings pairs and non-trivial real Milnor fibrations, Annales de l'Institut Fourier (Grenoble) 66 (2016), 83-104.

112. D. Sakurai, O. Saeki, H. Carr, Hsiang-Yun Wu, T. Yamamoto, D. Duke, and S. Takahashi, Interactive visualization for singular fibers of functions f : R^3 -> R^2, IEEE Transactions on Visualization & Computer Graphics, vol.22, no. 1, pp. 945-954, Jan. 2016. doi:10.1109/TVCG.2015.2467433

113. O. Saeki and T. Yamamoto, Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications, Algebraic & Geometric Topology 16 (2016) 1379–1402.
doi: 10.2140/agt.2016.16.1379
Preprint is available at arXiv:1509.05848v1 [math.GT].

114. O. Saeki and T. Yamamoto, Cobordism group of Morse functions on surfaces with boundary, Real and Complex Singularities, Proc. XIII International Workshop on Real and Complex Singularities, São Carlos, 2014, pp. 279-297, Contemporary Mathematics, Vol. 675, 2016.

115. A. Chattopadhyay, H. Carr, D. Duke, Z. Geng, and O. Saeki, Multivariate topology simplification, Computational Geometry 58 (2016), 1–24.
Preprint is available at arXiv:1509.04465v1 [cs.CG].

116. O. Saeki, Theory of singular fibers and Reeb spaces for visualization, in “Topological Methods in Data Analysis and Visualization IV - Theory, Algorithms, and Applications”, H. Carr, C. Garth, T.Weinkauf (Eds.), Proc. Topology-Based Methods in Visualization 2015, pp.3-33, Springer, 2017.

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Preprints

1. T. De Melo, V. M. do Nascimento, and O. Saeki, Contact as applied to the geometry of curves in homogeneous spaces, March 2013.
.pdf file is here

2. H. Hamada, S. Matsutani, J. Nakagawa, O. Saeki, and M. Uesaka, An algebraic description of screw dislocations in SC and BCC crystal lattices, preprint, May 2016.
Preprint is available at arXiv:1605.09550 [math-ph].

3. O. Saeki and T. Yamamoto, Singular fibers of stable maps of manifold pairs and their applications, preprint, July 2016.

4. R.I. Baykur and O. Saeki, Simplifying indefinite fibrations on 4-manifolds, preprint.
Preprint is available at arXiv:1705.11169 [math-GT].

5. O. Saeki, Elimination of definite fold II, preprint.
Preprint is available at arXiv:1709.03804 [math.GT].

6. R.I. Baykur and O. Saeki, Simplified broken Lefschetz fibrations and trisections of 4-manifolds, preprint.
Preprint is available at arXiv:1710.06529 [math.GT].

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Other Published Papers (unrefereed)

1. O. Saeki, Existence of decomposable algebraic 3-knots (in Japanese), Surikaisekikenkyusho Kokyuroku (Kyoto) 624 (1987)122-136.

2. O. Saeki, Homology 3-spheres in S^5 and singularities of complex polynomials with three variables (in Japanese), Topology Symposium in Ryukyu (1987), 21-40.

3. O. Saeki, Existence of decomposable algebraic 3-knots (in Japanese), Surikaisekikenkyusho Kokyuroku (Kyoto) 634 (1987), 114-123.

4. O. Saeki, Theory of super-isolated singularities and its applications, Surikaisekikenkyusho Kokyuroku (Kyoto) 764 (1991), 23-36.

5. O. Saeki, Simple stable maps of 3-manifolds into surfaces (in Japanese), Recent Developments in Knots and Low Dimensional Manifolds (1992), 72-82.

6. O. Saeki, Simple stable maps of 3-manifolds into surfaces, Surikaisekikenkyusho Kokyuroku (Kyoto) 815 (1992), 33-46.

7. O. Saeki, Stable maps into the plane and links in 3-manifolds (in Japanese), Study of Knots (1994), 221-241.

8. O. Saeki, On the topology of folds (in Japanese), Abstract for the General Meeting in Autumn of the Mathematical Society of Japan, 1994

9. O. Saeki, Real Seifert matrix of an isolated quasi-homogeneous singularity in C^3 detemines its spectrum, Singularity of Hypersurface, Fundamental Group and Finite Covering (1995), 89-98.

10. J. J. Nuño Ballesteros and O. Saeki, On the number of pyramids of a generic space curve, Surikaisekikenkyusho Kokyuroku (Kyoto) 926 (1995), 81-92.

11. C. Biasi and O. Saeki, Self-intersection set of a generic map and a characterization of embeddings, Surikaisekikenkyusho Kokyuroku (Kyoto) 952 (1996), 147-160.

12. T. Kobayashi and O. Saeki, Rubinstein-Scharlemann graphic as the discriminant set of a stable map (in Japanese), Art of Low Dimensional Topology III (1997), 9-20.

13. O. Saeki and K. Sakuma, Elimination of singularities: Thom polynomial and beyond, Geometry related to Infinite Analysis (1997), 236-248

14. J. J. Nuño Ballesteros and O. Saeki, Euler characteristic formulas for simplicial maps and their applications, Topology of Singularities (1998), 117-157.

15. O. Saeki and K. Sakuma, Special generic maps of 4-manifolds and compact complex analytic surfaces, Topology of Singularities (1998), 211-231.

16. Y. Yamada, O. Saeki, M. Teragaito, A. Katanaga, Gluck surgery along a 2-sphere in a 4-manifold is realized by surgery along a projective plane, Surikaisekikenkyusho Kokyuroku (Kyoto) 1050 (1998), 77-84.

17. O. Saeki, On the elimination problem of singularities of differentiable mappings (in Japanese), Topology Symposium in Yamaguchi (1998), 27-36.

18. O. Saeki, Stable maps and 4-dimensional topology (in Japanese), Abstract for the Annual Meeting of the Mathematical Society of Japan, 2001.

19. O. Saeki, Topology of singular fibers of generic maps, The 12th MSJ-IRI “Singularity Theory and Its Applications” Abstracts, eds. S.Izumiya, G.Ishikawa, T.Sano and I.Shimada, Hokkaido Univ. Technical Report Series in Math. #78, September 2003, pp.195-199.

20. O. Saeki, Topology of manifolds and singularities of differentiable maps, Abstracts for the conference 「Toward the future of the topology of manifolds」(University of Tokyo, November 2004).
pdf file is here

21. O. Saeki and T. Yamamoto, Theory of singular fibers of differentiable maps and characteristic classes of surface bundles (in Japanese), Abstracts of the conference"Topology related to Riemann surfaces" (University of Tokyo, September 2005).

22. O. Saeki, Singular fibers of Morse functions and characteristic classes of surface bundles (in Japanese), Report of the 2nd Seminar on Topology and Algebraic Geometry in Tanbara, 2006.

23. O. Saeki, Morse functions with sphere fibers (in Japanese), Surikaisekikenkyusho Kokyuroku (Kyoto) 1540 (2007), 56-66.

24. O. Saeki, Singularities and characteristic classes --- the important role of explicit examples (in Japanese), Abstract for the General Meeting in Autumn of the Mathematical Society of Japan, 2007.

25. O. Saeki, Cobordism of Morse maps and its application to map germs, Surikaisekikenkyusho Kokyuroku (Kyoto) 1610 (2008), 100-113.
pdf file is here

26. O. Saeki, Special generic maps on open 4-manifolds, Surikaisekikenkyusho Kokyuroku (Kyoto) 1707 (2010), 29-36.
pdf file is here

27. O. Saeki, Broken Lefschetz fibrations and their moves (in Japanese), Topology Symposium in Saga (2012), 85-96.

28. O. Saeki, Singularities of differentiable maps and data visualization (in Japanese), MI Lecture Note Series, No.46, Graduate School of Mathematics, Kyushu University, pp.75-84, 2013.

29. O. Saeki, Visualizing multivariate data using singularity theory, MI Lecture Note Series, No.51, Institute of Mathematics for Industry, Kyushu University, pp.9-11, 2013.

30. O. Saeki and T. Yamamoto, Co-orientable singular fibers of stable maps of 3-manifolds with boundary into surfaces, Surikaisekikenkyusho Kokyuroku (Kyoto) 1948 (2015), 137-152.
pdf file is here

31. O. Saeki, Stable maps and topology of manifolds (in Japanese), Abstract for the General Meeting in Autumn of the Mathematical Society of Japan, 2015.

32. O. Saeki, A mathematical description of screw dislocations (in Japanese), Mathematics of Screw Dislocation of Crystals, Mathematics for Industry Research, No.6, Institute of Mathematics for Industry, Kyushu University, pp.27-47, 2016.

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Books


1.Proceedings of the XI Brazilian Topology Meeting, Edited by S. Firmo, D.L. Goncalves and O. Saeki, World Scientific, 2000.



2. Geometry and Singularities (in Japanese), by S. Izumiya, T. Sano, O. Saeki, K. Sakuma, Kyoritsu Publ., 2001.



3. Characteristic Classes, by J.W. Milnor and J.D. Stasheff, Traslated into Japanese by O. Saeki and K. Sakuma (wtih solutions to the exercises), Springer-Verlag Tokyo, 2001.



4. Characteristic Classes, by J.W. Milnor and J.D. Stasheff, Traslated into Japanese by O. Saeki and K. Sakuma (wtih solutions to the exercises), Springer-Verlag Tokyo, 2001.



5. Topology of Singular Fibers of Differentiable Maps, Lecture Notes in Math., Vol. 1854, Springer-Verlag, 2004.



6. Modern Mathematics Developing with Technology (in Japanese), edited by Masato Wakayama, Iwanami Publ. Co., 2008.


7. Study Group Workshop 2012, Abstract, Lecture & Report, edited by Osamu Saeki, Masato Wakayama and Masahiro Yamamoto, COE Lecture Note Series, No.42, Graduate School of Mathematics, Kyushu University, 2012.


8. Study Group Workshop 2013, Abstract, Lecture & Report, edited by Osamu Saeki, Kanzo Okada, Tsuyoshi Takagi, Masato Wakayama and Masahiro Yamamoto, MI Lecture Note Series, No.52, Institute of Mathematics for Industry, Kyushu University, 2013.


9. A Mathematical Approach to Research Problems of Science and Technology -- Theoretical Basis and Developments in Mathematical Modeling, R. Nishii, S. Ei, M. Koiso, H. Ochiai, K. Okada, S. Saito, and T. Shirai (Eds.), Mathematics for Industry, Vol. 5, Springer, 2014, "Singularity Theory of Differentiable Maps and Data Visualization" by O. Saeki, pp. 119-130.


10. Singularities in Geometry and Topology 2011, Edited by V. Blanloeil and O. Saeki, Advanced Studies in Pure Mathematics, Vol.66, May 2015.


11. School on Real and Complex Singularities in São Carlos, 2012, Edited by Raimundo Nonato Araújo dos Santos, Victor Hugo Jorge Pérez, Osamu Saeki and Takashi Nishimura, Advanced Studies in Pure Mathematics, Vol.68, August 2016.


12. Mathematics of Screw Dislocation of Crystals, Mathematics for Industry Research, No.6, Eds. S. Matsutani, O. Saeki, J. Nakagawa, M. Uesaka, H. Hamada, Institute of Mathematics for Industry, Kyushu University, 2016.



13. The Role and Importance of Mathematics in Innovation, Proceedings of the Forum “Math-for-Industry” 2015, Edited by B. Anderssen, P. Broadbridge, Y. Fukumoto, N. Kamiyama, Y. Mizoguchi, K. Polthier, and O. Saeki, Mathematics for Industry, Vol. 25, Springer, 2017.


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Collaboration with Industry and Other Research Areas

・ Application of Pure Mathematics to Materials Science (2010-2012)
Nippon Steel Corporation, Mathematical Science & Technology Research Group, Advanced Technology Research Laboratories, Technical Development Bureau

・ Mathematical expressions of geometric objects from topological and differential geometric viewpoints (2013)
Nippon Steel & Sumitomo Metal, Mathematical Science & Technology Research Group, Advanced Technology Research Laboratories

・ Visual Data Analysis for Multivariate Functions
Shigeo Takahashi (University of Aizu)

・ Low Dimensional Topology, Morse Theory and Computer Graphics
Yusuke Kiriu (Studio Phones), Studio Phones Fellowship Program

・ Member of the Mathematics for Industry Unit, Center for Co-evolutional Social Systems, Kyushu University

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Joint Researchers


(Affiliations may not be correct.)

Raimundo Nonato Araújo dos Santos (ICMC-USP, Brazil)
Juan José Nuño Ballesteros (Universitat de València, Spain)
Refik Inanc Baykur (University of Massachusetts, USA)
Benaissa Bernoussi (SD-TAS, Tanger, Morocco)
Carlos Biasi (ICMSC-USP, Brazil)
Vincent Blanlœil (Université Louis Pasteur Strasbourg I, France)
Hamish Carr (University of Leeds, United Kingdom)
Vera Lucia Carrara (IME-USP, Brazil)
Amit Chattopadhyay (University of Leeds, United Kingdom)
Janey Antonio Daccach (ICMSC-USP, Brazil)
François Dubeau (Université de Sherbrooke, Canada)
David Duke (University of Leeds, United Kingdom)
Shinji Fukuhara (Tsuda College, Tokyo, Japan)
Zhao Geng (University of Leeds, United Kingdom)
Hiroyasu Hamada (National Institute of Technology, Sasebo College, Sasebo, Japan)
Jorge Tadashi Hiratuka (IME-USP, Brazil)
Maria Amelia de Pinho Barbosa Hohlenwerger (ICMC-USP, Brazil)
Noriyuki Honma (Hitachi Software, Sendai, Japan)
Kazuichi Ikegami (Hiroshima University, Higashi-Hiroshima, Japan)
Atsuko Katanaga (University of Tsukuba, Tsukuba, Japan)
Cherry Kearton (Durham University, United Kingdom)
Keisuke Kikuchi (University of Tokyo, Tokyo, Japan)
Shigeki Kikuchi (Hirosaki University, Hirosaki, Japan)
Mahito Kobayashi (Akita University, Akita, Japan)
Tsuyoshi Kobayashi (Nara Women's University, Nara, Japan)
Alice Kiyomi Miwa Libardi (IGCE-UNESP, Brazil)
Laércio Aparecido Lucas (AFA, Brazil)
Sadao Massago (UFScar, Brazil)
Yasutaka Masumoto (Kyushu University, Japan)
Yukio Matsumoto (University of Tokyo, Tokyo, Japan)
Shigeki Matsutani (National Institute of Technology, Sasebo College, Sasebo, Japan)
Thiago de Melo (IGCE-UNESP, Brazil)
Fumiya Morishita (Kyushu University, Japan)
Walter Motta (CETEC-UFU, Brazil)
Junichi Nakagawa (Nippon Steel & Sumitomo Metal Corporation, Chiba, Japan)
Vanderlei M. do Nascimento (IGCE-UNESP, Brazil)
Oziride Manzoli Neto (ICMSC-USP, Brazil)
Toru Ohmoto (Kagoshima University, Kagoshima, Japan)
Paulo Ferreira da Silva Porto Junior
Mustapha Rachidi (Université Mohammed V, Morocco)
Maria Aparecida Soares Ruas (ICMSC-USP, Brazil)
Rustam Sadykov (Kyushu University, Japan)
Kazuhiro Sakuma (Kinki University, Higashi-Osaka, Japan)
Daisuke Sakurai (University of Tokyo, Tokyo, Japan)
Taciana Oliveira Souza (UFU, Brazil)
Keiichi Suzuoka (University of Tokyo, Tokyo, Japan)
András Szűcs (Eötvös Loránd University, Budapest, Hungary)
Shigeo Takahashi (University of Tokyo, Tokyo, Japan)
Masamichi Takase (Yokohama National University, Yokohama, Japan)
Yasushi Takeda (Kyushu University, Fukuoka, Japan)
Masakazu Teragaito (Hiroshima University, Higashi-Hiroshima, Japan)
Masaaki Uesaka (University of Tokyo, Tokyo, Japan)
S. M. J. Wilson (Durham University, United Kingdom)
Hsiang-Yun Wu (University of Tokyo, Tokyo, Japan)
Yuichi Yamada (University of Electro-Communications, Tokyo, Japan)
Takahiro Yamamoto (Hokkaido University, Sapporo, Japan)


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