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
1. O. Saeki, On simple fibered knots in S5 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 S5,
J. Math. Soc. Japan 40 (1988), 65-75.
4. O. Saeki, Cobordism
classification of knotted homology 3-spheres in S5, Osaka J. Math.
25 (1988), 213-222.
5. O. Saeki, Topological invariance of weights for weighted
homogeneous isolated singularities in C3,
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 R3, 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 R2n and the double points of
their generic projections into R2n-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 Sp X Sq embedded in Sp+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 R3, Pacific J. Math. 184
(1998), 175-193.
40. C. Biasi and O. Saeki, On 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 S4, 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”, eds. 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 S5
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 C3, 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”, eds. 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, The 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 Sp X Sq X Sr
into Sp+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.
preprint is available at https://arxiv.org/abs/math/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, A theory
of concordance for non-spherical 3-knots, Trans. Amer. Math. Soc. 354
(2002), 3955-3971.
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 S4 , 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 &
Topology10 (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 Topology6 (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. https://doi.org/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.
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
97. O. Saeki, Special generic maps on open 4-manifolds, J. of Singularities1 (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, The Fox property for codimension
one embeddings of product of three spheres into
spheres, Algebraic
and Geometric Topology11
(2011), 3043-3064.
105. J. T. Hiratuka and O. Saeki, Triangulating Stein factorizations
of generic maps and Euler characteristic formulas, RIMS Kôkyûroku
Bessatsu B38
(2013), 61-89.
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.
117. O. Saeki and T. Yamamoto, Singular fibers of stable maps of manifold pairs and their applications, in "Singularities and Foliations. Geometry, Topology and Applications", Araújo dos Santos, R.N., Menegon Neto, A., Mond, D., Saia, M.J., Snoussi, J. (Eds.), Springer Proceedings in Mathematics & Statistics, Vol.222, pp. 259-294, 2018.
118. R.I. Baykur and O. Saeki, Simplified broken Lefschetz fibrations and trisections of 4-manifolds, Proc. Natl. Acad. Sci. USA 115 (2018), 10894-10900.
Preprint is available at arXiv:1710.06529 [math.GT].
119. H. Hamada, S. Matsutani, J. Nakagawa, O. Saeki, and M. Uesaka, An algebraic description of screw dislocations in SC and BCC crystal lattices, Pacific Journal of Mathematics for Industry 10:3 (2018).
doi:here.
Preprint is available at arXiv:1605.09550 [math-ph].
120. O. Saeki, Elimination of definite fold II, Kyushu J. Math. 73 (2019), 239-250.
Preprint is available at arXiv:1709.03804 [math.GT].
121. O. Saeki, A signature invariant for stable maps of 3-manifolds into surfaces, Proceedings of the Seventh Japanese-Australian Workshop on Real and Complex Singularities (The University of Sydney, JARCS 2017), ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS 64 (2019), 541-563.
122. O. Saeki, Linking between singular locus and regular fibers, Journal of Singularities 21 (2020), 234-248.
Preprint is available at arXiv:1804.00359 [math.GT].
124. O. Saeki, Reeb spaces of smooth functions on manifolds, International Mathematics Research Notices, Volume 2022, Issue 11,
June 2022, 8740--8768. https://doi.org/10.1093/imrn/rnaa301 .
128. N. Kitazawa and O. Saeki, Round fold maps on 3-manifolds, Algebraic & Geometric Topology 23 (2023), 3745--3762.
Preprint is available at arXiv:2105.00974 [math-GT].
131. O. Saeki and S. Sakurai, Differentiable maps on links of complex isolated hypersurface singularities, to
appear in Hokkaido Math. J.,
preprint, February 2024, arXiv:2402.02365 [math.GT].
1. T. De Melo, V. M. do Nascimento, and O. Saeki, Contact as applied to the geometry of curves in homogeneous spaces, preprint, March 2013.
pdf file is here
2. O. Saeki, Introduction to global singularity theory of differentiable maps, preprint, July 2023.
3. O. Saeki, Global singularity theory of generic differentiable maps, preprint, October 2023.
4. Akito Fujii, Osamu Saeki, Daisuke Sakurai, Reeb complements for exploring inclusions between isosurfaces
from two scalar fields, preprint, February 2024, arXiv:2402.09768 [cs.CG].
5. Amit Chattopadhyay, Yashwanth Ramamurthi, Osamu Saeki, An algorithm for correct computation
of Reeb spaces for PL bivariate fields, preprint, March 2024, arXiv:2403.06564 [cs.CG].
6. O. Saeki, Simplifying generic smooth maps to the 2-sphere and to the plane, preprint, July 2024, arXiv:2407.10145 [math.GT].
7. V. Blanlœil and O. Saeki, Cobordism of algebraic knots defined by Brieskorn polynomials, II, preprint, November 2024, arXiv:2411.03662 [math.GT].
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 S5 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 C3 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.
33. O. Saeki, A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces (in Japanese), Surikaisekikenkyusho Kokyuroku (Kyoto) 2049 (2017), 155-172.
34. O. Saeki, Data visualization based on differential topology (in Japanese), The Japan Society for Precision Engineering, Spring Symposium, Encounter of Precision Engineering and Geometry, March 2018.
35. O. Saeki, Elimination of definite fold II, Surikaisekikenkyusho Kokyuroku (Kyoto) 2085 (2018), 55-66.
36. O. Saeki, Simplified broken Lefschetz fibrations and trisections of smooth 4-manifolds, Intelligence of Low-dimensional Topology, Surikaisekikenkyusho Kokyuroku (Kyoto) 2099 (2018), 42-59.
37. O. Saeki, Reeb graphs of smooth functions on manifolds,
Singularity theory of differentiable maps and their applications, Surikaisekikenkyusho Kokyuroku (Kyoto) 2156 (2020), 37-43.
38. O. Saeki, Global singularity theory of generic differentiable maps (in Japanese), Abstract for the General Meeting in Autumn of the Mathematical Society of Japan, 2022.
39. O. Saeki, Institute of Mathematics for Industry: its uniqueness, strength and prospects, MI Lecture Notes, Vol. 91, Institute of Mathematics for Industry, Kyushu University, pp. 607--609, 2022.
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. Singular Points of Complex Hypersurfaces, by J.W. Milnor, Traslated into Japanese by O. Saeki and K. Sakuma, Springer-Verlag Tokyo, 2003.
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. Blanlœil 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.
14. Mathematics in Interface, Dislocation and Structure of Crystals, edited by S. Matsutani, O. Saeki, J. Nakagawa, D. Tagami, M. Uesaka, P. Cesana and H. Hamada, MI Lecture Note Series, No.77, Institute of Mathematics for Industry, Kyushu University, 2017.
15. Advanced Mathematical Investigation for Dislocations, edited by S. Matsutani, O. Saeki, J. Nakagawa, H. Hamada and M. Uesaka, Mathematics for Industry Research No.11, Institute of Mathematics for Industry, Kyushu University, 2018.
16. Advanced Mathematical Analysis for Dislocation, Interface and Structure in Crystals，Hiroyasu Hamada, Junichi Nakagawa, Ryoko Tomiyasu, Osamu Saeki, Shigeki Matsutani，Mathematics for Industry Research，No.15，Institute of Mathematics for Industry, Kyushu University，2019.
17. Geometry and Algebra in Material Science I, Shigeki Matsutani, Hiroyasu Hamada, Kazutoshi Inoue, Yutaro Kabata, Hisashi Naito, Junichi Nakagawa, Osamu Saeki, Ryuichi Tarumi, Mathematics for Industry Research，No.20，Institute of Mathematics for Industry, Kyushu University，2020.
18. Fiber Topology Meets Applications, Daisuke Sakurai, Shigeo Takahashi, Naoki Hamada, Osamu Saeki, Hamish Carr, Takahiro Yamamoto, Mathematics for Industry Research，No.21，Institute of Mathematics for Industry, Kyushu University，2020.
19. Geometry and Algebra in Material Science II, Shigeki Matsutani, Hiroyasu Hamada, Kazutoshi Inoue, Kaname Matsue, Hisashi Naito, Junichi Nakagawa, Hiroyuki Ochiai, Osamu Saeki, Ryuichi Tarumi, Mathematics for Industry Research，No.23，Institute of Mathematics for Industry, Kyushu University，2021.
20. Mathematics of Evolutionary Computation, IMI Workshop of the Joint Usage Research Projects, Naoki Hamada, Hirokazu Anai, Yuhei Umeda, Kazuhisa Chiba, Hiroyuki Sato, Yusuke Nojima, Yutaro Kabata, Shunsuke Ichiki, Kenta Hayano, Osamu Saeki, MI Lecture Note, Vol.86, Institute of Mathematics for Industry, Kyushu University, 2022.
22. Fiber Topology Meets Applications 2, Mathematics for Industry Research, Daisuke Sakurai, Osamu Saeki, Shigeo Takahashi, Hamish Carr, Takahiro Yamamoto and Naoki Hamada, No.24, Institute of Mathematics for Industry, 2022.
23. Proceedings of Forum "Math-for-Industry" 2021 -Mathematics for Digital Economy- , Osamu Saeki, Ho Tu Bao, Shizuo Kaji, Kenji Kajiwara, Nguyen Ha Nam, Ta Hai Tung, Melanie Roberts, Masato Wakayama, Le Minh Ha and Philip Broadbridge, MI Lecture Notes, Vol. 87, Institute of Mathematics for Industry, Kyushu University, 2022.
25. Geometry and Algebra in Material Science III, Shigeki Matsutani, Hiroyuki Ochiai, Kazutoshi Inoue, Miyuki Koiso, Osamu Saeki, Tomoyuki Shirai, Ryuichi Tarumi, Hisashi Naito, Junichi Nakagawa, Hiroyasu Hamada, Kaname Matsue, Yutaro Kabata, MI Lecture Notes, Vol. 89，Institute of Mathematics for Industry, Kyushu University, 2022.
26. Geometry and Algebra in Material Science IV, Shigeki Matsutani, Yuta Ogata, Hiroyuki Ochiai, Yutaro Kabata, Osamu Saeki, Kaname Matsue, Hiroyasu Hamada, Mathematics for Industry Research，No.26，Institute of Mathematics for Industry, Kyushu University，2023.
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)
・Multi-objective Optimization and Singularity Theory
Naoki Hamada (KLab Inc.)
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)
Akito Fujii (Kyushu University, Japan)
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)
Naoki Kitazawa(Institute of Mathematics for Industry, Kyushu University)
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)
Yashwanth Ramamurthi (International Institute of Information Technology, Bangalore, India)
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)
Shuntaro Sakurai (Daiwa House Industry, 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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