T. Fukui and M. Hasegawa,
Singularities of Parallel Surfaces, to appear in Tohoku Mathematical Journal,

T. Fukui and M. Hasegawa,
Fronts of Whitney umbrella---a differential geometric approach via blowing up,
Journal of Singularities,volume 4 (2012), 35-67 ,

T. Fukui, K. Kurdyka and L. Paunescu,
Tame nonsmooth inverse mapping theorems, SIAM J. Optim. Volume 20, Issue 3, pp. 1573-1590 (2010) ,

T. Fukui, L. Paunescu,
On blow-analytic equivalence.
Arc spaces and additive invariants in real algebraic and analytic geometry, 87--125, Panor. Syntheses, 24, Soc. Math. France, Paris, 2007.

T. Fukui and J. J. Nuno Ballesteros,
Isolated singularities of binary differential equations of degree n (pdffile 426319 byte)
preprint.

K. Bekka, T. Fukui, S. Koike,
On the realisation of a map of some class as a desingularisation map (dvifile 46644 byte)
Real and complex singularities, 33--45, World Sci. Publ., Hackensack, NJ, 2007.

T. Fukui and A. Khovanskii,
Mapping degree and Euler characteristic (dvifile 90352 byte)
Kodai Mathematical Journal, 29 (2006) 144--162

T. Fukui and J. Nuno Ballesteros,
Isolated roundings and flattennings of submanifolds in euclidean space ( postscript file gzipped by GNU tar, 1649012 byte, pdf file , 1281655 byte),
Tohoku Mathematical Journal 57 (2005) 469--503.

T. Fukui, K. Kurdyka and L. Paunescu,
An inverse mapping theorem for arc-analytic homeomorphism (dvifile 35276 byte),
in Geometric Singularity Theory (eds. Heisuke Hironaka, Stanislaw Janeczko, Stanislaw Lojasiewicz) Banach Center Publications 65 (2004), 49--56.

T. Fukui and J. Weyman,
Cohen-Macaulay properties of Thom-Boardman strata II: The defining ideals of \Sigma^i,j (dvifile, 109312 byte),
Proceedings of London Mathematical Society {\bf 87} (2003), 137--163.

C. Bivi\`a Ausina, T. Fukui and M. Saia,
Newton filtrations, graded algebra and codimension of non-degenerate ideal (dvifile 117144 byte),
Mathematical Proceedings of the Cambridge Philosophical Society 133, 55--75 (2002)

T. Fukui, T.-C. Kuo and L. Paunescu,
Constructing blow-analytic isomorphisms (dvifile 69172 byte),
Annales de l'Institut Fourier, Grenoble, 51 (2001), 1071-1087

T. Fukui and L. Paunescu,
Stratification theory from the weighted point of view (dvifile 119172 byte),
Canadian Journal of Mathematics 53 (2001),73-97.

T. Fukui and J. Weyman,
Cohen-Macaulay properties of Thom-Boardman strata I: Morin's ideal,
Proceedings of London Mathematical Society, 80 (2000), no. 2, 257--303.

T.Fukui,
Congruence for real curves in toric surface and Newton polygons,
in ``Proceedings of XI Brazilian topology meeting (ed. S Firmo, D L Goncalves & O Saeki)'', pp.148--167,
World Scientific, 2000.

T. Fukui and L. Paunescu,
Modified analytic trivialization for weighted homogeneous function-germs,
Journal of the Mathematical Society of Japan,  52(2000), pp.433--446.

T.Fukui,
Introduction to toric modifications with an application to real singularities,
in RIMS kokyuroku 1122

T. Fukui,
Butterflies and umbilics of stable perturbations of analytic map-germs (C⁵.0) -->(C⁴,0),
in ``Singularity theory (ed. Bill Bruce & David Mond)'',
London Mathematical Society Lecture Note Series 263, pp.369--378, Cambridge University Press, 1999.

T. Fukui, J. Nuno Ballesteros and M. Saia,
On the number of singularities in generic deformations of map germs,
Journal of the London Mathematical Society 58 (1998), pp.141--152.

T.Fukui,
Newton polygons and topology of real zero loci of real polynomials,
Journal of the London Mathematical Society 58(1998), pp.545--563.

T. Fukui, S. Koike and M. Shiota,
Modified Nash triviality of a family of zero-sets of real polynomial mappings,
Annales de l'Institut Fourier, Grenoble   48, 5 (1998), pp.1395--1440.

T. Fukui, S. Koike and T.-C. Kuo,
Blow-analytic equi-singularities, properties, problems and progress,
in ``Real analytic and Algebraic singularities (ed. T.Fukuda, T.Fukui, S.Koike, and S.Izumiya)''
Pitman Research Notes in Mathematics Series 381, pp.8--29, Longman, 1998.

T. Fukui,
Seeking invariants for blow-analytic equivalence,
Compositio Mathematica vol. 105 (1997), pp.95--108.

T. Fukui,
An algebraic formula for a topological invariant of bifurcation of 1-parameter family of function-germ,
in ``Stratifications, singularities and differential equations II  Stratifications and topology of singular spaces (ed. D.Trotman & L.Wilson)'', pp.45--54. Travaux en cours  55, Hermann, 1997.

T. Fukui,
Mapping degree formula for 2-parameter bifurcation of function-germs,
Topology, vol.32 (1993), pp.567--571.

T. Fukui,
Modified analytic trivialization via weighted blowing up,
Journal of the Mathematical Society of Japan, vol.44 (1992), pp.455--459.

T. Fukui,
Lojasiewics type inequalities and Newton diagrams,
Proceedings of the American Mathematical Society, vol.112 (1991), pp.1169--1183.

T. Fukui,
The modified analytic trivialization of a family of real analytic mappimgs,
Contemporary Mathematics vol.90 (1989), pp.73--89, American Mathematical Society.

T. Fukui and E. Yoshinaga,
The modified analytic trivialization of family of real analytic functions,
Inventiones mathematicae vol.82 (1985), pp.467--477, Springer-Verlag.