1. Fitting ideals and multiple points of analytic maps (with Ruud Pellikaan), Algebraic Geometry and Complex Analysis, Patzcuaro, 1987, Springer Lecture Notes 1414, E. Ramirez de Arellano (ed.), 1989 .pdf

2. Vanishing cycles for analytic maps, Singularity theory and Applications, Warwick 1989, Springer Lecture Notes in Math 1462 (1991) 221-234 .pdf

3. A-codimension and the vanishing topology of discriminants (with Jim Damon), Invent. Math. 106 (1991) 217-242 .pdf

4. Deformations of maps on complete intersections, Damon's K_V-equivalence, and bifurcations, with James Montaldi, London Math. Soc. Lecture Notes 201, Cambridge University Press, (1994) .ps, .pdf

5. Looking at bent wires- A-codimension and the vanishing topology of parametrised curve singularities, Math. Proc. Camb. Phil. Soc. 117 (1995) 213-222 .pdf

6. Vanishing cohomology of singularities of mappings (with Victor Goryunov), Compositio Math. 89 no. 1 (1993), 45-80 .pdf

7. Cohomology of the complement of a free divisor, with Francisco Castro and Luis Narvá ez, Trans. Amer. Math. Soc. 348 (1996) .ps, .pdf

8. Map germs with good real perturbations, with Ton Marar, Topology 35, 1 (1996) (without pictures) .ps, .pdf,

9. Complex monodromy and changing real pictures, with Tom Cooper, J. London Math. Soc 2, 57 (1998) .ps, .pdf ( for pictures see 4 in pictures)

10. Logarithmic differential forms and the cohomology of the complement of a divisor, with Martin Holland, Math. Scandinavica 83 (1998), 235-254 , .pdf

11. Stable mappings and logarithmic relative differential forms, with Martin Holland, Math. Zeitschrift 231 (1999) .pdf (Example 3.9 corrected in 2013).

12. Differential forms on free and almost free divisors Proc. London Math. Soc. (3) 81, (2000) .ps, .pdf

13. The structure of the discriminant of some space curve singularities, (with Duco van Straten), Quarterly Journal Math. 52 (2001), 355-365 .ps, .pdf

14. Milnor number equals Tjurina number for functions on space curves , with Duco van Straten, J. London Math. Soc. (2) 63, (2001) .ps, .pdf

15. Vanishing topology of codimension 1 multi-germs over R and C, with Tom Cooper and Roberta Wik Atique, Compositio Math. 131 (2002), .ps, .pdf

16. Not all codimension 1 germs have good real pictures, with Roberta Wik Atique, in Real and Complex Singularities, Marcel Dekker, (2003), .ps, .pdf

17. Stochastic Factorisations, Sandwiched Triangles and the Topology of the Space of Explanations, with Jim Smith and Duco van Straten, Proceedings of the Royal Society Series A .ps .pdf

18. Tjurina and Milnor numbers of matrix singularities, with Victor Goryunov, preprint, 2003 Journal of London Math. Soc., .ps, .pdf

19. Functors on the category of factorisations of a function, Boletin de Matematicas, Nueva Serie, Vol XI No.1, June 2004, Bogota, dedicated to the memory of Jairo Charris .ps, .pdf

20. F-manifolds from composed maps, with Ignacio de Gregorio, to appear in Sao Carlos-Sur-Mer, Proceedings of VIIIth workshop on Real and Complex Singularities, Luminy 2004, revised version posted July 8th 2005 .ps, .pdf

21. Linear free divisors and quiver representations, with Ragnar-Olaf Buchweitz, posted July 5th 2005 .pdfpublished in Singularities and Computer Alebra, Lossen and Pfister (Eds), London Mathematical Society Lecture Notes 324, 2006, pp 41-78

22. Aspectos topologicos de las deformaciones de singularidades (informal survey in Spanish), submitted to proceedings of Congreso Nacional de Matematicas, Bogota, 2005 .ps, .pdf

23. Linear free divisors, with M.Granger, A. Nieto Reyes and M. Schulze, preprint, posted October 17 2007, appeared Ann. Inst. Fourier, Tome 59, no. 2, 2009, 811-850 .pdf

24. Linear free divisors and quivers, with Michel Granger, .pdf, posted June 25 2007

25. Linear free divisors and Frobenius manifolds, with Ignacio de Gregorio and Christian Sevenheck, .pdf posted December 15th 2008, appeared Compositio Math. Vol 145(5), 2009, 1305-1350

26. Free divisors in prehomogeneous vector spaces, with Michel Granger and Mathias Schulze, posted March 7th 2010 .pdf

27. Adjoint divisors and free divisors, with Mathias Schulze, posted July 8th 2013 .pdf

28. Partial normalisations of Coxeter arrangements and discriminants, with Michel Granger and Mathias Schulze, posted February 8, 2012, published in Moscow Math. J. 12 (2012) no 2, 335-367 .pdf

29. Free resolutions for multiple points spaces, with Ayse Altintas, posted Nov 21 2011, published in Geometria Dedicata 162 (2013) 177-190 .pdf

30. Some open problems in the theory of singularities of mappings, posted October 14, 2014, to appear in Proceedings of Edinburgh Singularities Conference 2013, in Journal of Singularities .pdf

31. Logarithmic vector fields and the Severi strata in the discriminant, by Paul Cadman, David Mond and Duco van Straten, to appear in proceedings of PepeFest, Merida 2014 .pdf

32. Calculating invariants of the disentanglement of A-finite map-germs of corank 2, to appear in proceedings of Summer School, Salvador da Bahia, 2015 .pdf

List of earlier papers .ps .pdf