Main Publications

1) “Singular points of complex surfaces and homotopy”. Topology 21 (1982), 1-8. Q1.  https://doi.org/10.1016/0040-9383(82)90038-6

2) “The elements of π3s  represented by invariant framings of quotients of Sl2(R) by certain discrete subgroups”. With B.F. Steer. Advances in Mathematics 46 (1981), 221-228. https://doi.org/10.1016/0001-8708(82)90025-1

3) “A cobordism invariant for surface singularities”. AMS Proceedings of Symposio in Pure Mathematics 40 (1983),479-484.

4) “A note on the η function for quotients of PSl2(R) by cocompact Fuchsian groups”. With B. F. Steer. Topology 26 (1987), 79-91. https://doi.org/10.1016/0040-9383(87)90023-1

5) “Complex singularities and the framed cobordism class of compact quotients of 3- dimensional Lie groups by discrete subgroups”. With B.F. Steer. Commentarii Mathematici Helvetici 65 (1990), 349-374. https://link.springer.com/article/10.1007%2FBF02566613

6) “Characteristic divisors on complex manifolds”. With H. Esnault, E. Viehweg. Crelle, Journal fur die Reine und Angewadte der Mathematcs 424 (1992), 17-30. Q1.  DOI: 10.1515/crll.1992.424.17

7) “The index of a holomorphic flow with an isolated singularity”. With X. Gómez-Mont, A. Verjovsky. Matematische Annalen 291 (1991), 737-751. Q1. https://link.springer.com/article/10.1007/BF01445237

8) “On the topology of a holomorphic vector field around an isolated singularity”. With X. Gomez-Mont, A. Verjovsky. Functional Analysis and Applications 27 (1993), 97-103. Q2. DOI: 10.1007/BF01085980

9) “A residue formula for the index of a holomorphic flow”. With T. Suwa. Mathematische Annalen 304 (1996), 621-634. DOI: 10.1007/BF01446310

10) “Open book decompositions associated to holomorphic vector fields”. Boletín So- ciedad Matemática Mexicana 3 (1997), 323-335.

11) “Residues and topological invariants of singular foliations”. With T. Suwa. International Journal of Mathematics 8 (1997), 825-847. https://doi.org/10.1142/S0129167X9700041X

12) “Invariance topologique de la classe d’Euler pour des feuilletages singuliers”. With A. Verjovsky. Compte Rendus Academie des Sciences, Paris, 325 (1997), S ́erie I, 645-648. https://doi.org/10.1016/S0764-4442(97)84776-3

13) “Indices of vector fields and topological invariants of real analytic singularities”. With M. Aguilar and A. Verjovsky. Crelle, Journal fur die Reine und Angewadte der Mathematcs 504, 1998, 1-28. DOI: https://doi.org/10.1515/crll.1998.105

14) “An adjunction formula for local complete intersections”. With T. Suwa. International J. of Maths. 9, 1998, 759-768. Q2. https://doi.org/10.1142/S0129167X98000324

15) “Euler obstruction and indices of vector fields”. With J.P. Brasselet, Lê Dung Tráng. Topology 39, 2000, 1193-1208.  https://doi.org/10.1016/S0040-9383(99)00009-9

16) “Milnor classes of local complete intersections”. With J. P. Brasselet, D. Lehmann, T. Suwa. Transactions AMS. 354, 2001, 1351-1371. DOI: 10.1090/S0002-9947-01-02846-X

17) “Higher dimensional complex Kleinian groups”. With A. Verjovsky. Mathematische Annalen 322, 2002, 279-300.  https://link.springer.com/article/10.1007%2Fs002080100247

18) “On real singularities with a Milnor fibration”. With M.A. Ruas y A. Verjovsky. In “Trends in singularities”, Trends in Mathematics, Birkhauser 2002, p. 191-213, editado por A. Libgober y M. Tibar.  https://link.springer.com/chapter/10.1007/978-3-0348-8161-6_9

19) “Quadrics, orthogonal actions and involutions in Complex Projective Spaces”. With Lê Dung Tráng, A. Verjovsky. L’Enseignement Math. 49 (2003), 173-203. DOI: 10.5169/seals-66686

20) “Complex Schottky groups”. With A. Verjovsky. In “Geometric Methods in Dynamics (II) – Volume in honor of Jacob Palis”. Ed.   W. de Melo, M. Viana and J.-Ch. Yoccoz, Asterisque 287 (2003), 251-272. http://www.numdam.org/item/?id=AST_2003__287__251_0

21) “Euler obstruction and Defects of functions on singular varieties”. With J. P. Brasselet, D. Massey, A. J. Parameswaran. Journal London Math. Soc. 70 (2004), 59-76. DOI: https://doi.org/10.1112/S0024610704005447

22) “Homological index for 1-forms and a Milnor number for isolated singularities”.  With W. Ebeling y G. Gusein-Zade. International Journal of Maths. 15 (2004), no. 9, 895-905. https://doi.org/10.1142/S0129167X04002624

23) “Milnor numbers and Euler obstruction”. With M. Tibar, A. Verjovsky. Bull. Braz. Math. Soc. (N.S.) 36 (2005), no. 2, 275–283. https://link.springer.com/article/10.1007%2Fs00574-005-0039-x

24) “Global Euler obstruction and polar invariants”. With M. Tibar, A. Verjovsky. Math. Annalen 333 (2005), 393-403. https://link.springer.com/article/10.1007/s00208-005-0681-z

25) “On the topology of isolated singularities in analytic spaces”. In “Progress in Mathematics” vol. 241, 2005, Birkhauser. Monograph. DOI: 10.1007/3-7643-7395-4

26) “Fibred multilinks and singularities  fḡ”. With A. Pichon. Math. Ann. 342, No. 3, 487-514 (2008). DOI: 10.1007/s00208-008-0234-3.

27) “Refinements of Milnor’s fibration theorem for complex sigularities”. With J.L. Cisneros-Molina, J. Snoussi. Advances Maths. 222 (2009), 937-970. https://doi.org/10.1016/j.aim.2009.05.010

28) “Vector fields on Singular varieties”. With J.-P. Brasselet, T. Suwa. Lecture Notes in Mathematics # 1987, Springer Verlag (2009). Monograph. https://link.springer.com/book/10.1007/978-3-642-05205-7

29) “Codimension 1 foliations with Bott-Morse Singularities-I”. With Bruno Scardua. Journal of Differential Geometry 83, No. 1 (2009), 189-212. DOI: 10.4310/jdg/1253804355

30) “A finitness theorem for dual graphs of surface singularities”. With Patrick Popescu-Pampu. Int. J. Maths. 20, No. 8 (2009), 1057-1068. https://doi.org/10.1142/S0129167X09005649

31)“Milnor fibrations for meromorphic germs”. With A. Bodin, A. Pichon. Journal London Math. Soc. 80, No. 2 (2009), 311-325.   https://doi.org/10.1112/jlms/jdp027

32) “On the Equicontinuity Region of Discrete Subgroups of PU(1,n)”. With A. Cano. Journal of Geometric Analysis 20 (2010), no. 2, 291–305. https://link.springer.com/article/10.1007/s12220-009-9107-6

33) “Milnor fibrations and d-regularity”. With J.L. Cisneros-Molina, J. Snoussi. International J. Maths. 21 (2010), p. 419-434. https://doi.org/10.1142/S0129167X10006124

34) “Codimension 1 foliations with Bott-Morse Singularities-II”. With B. Scardua. J. Topol. 4, No. 2, 343-382 (2011). https://doi.org/10.1112/jtopol/jtr004

35) “Morse theory and the topology of holomorphic foliations near an isolated singu- lariry”. With Beatriz Limón. Journal of Topology 4, No. 3, 667-686 (2011). https://doi.org/10.1112/jtopol/jtr018

36) “Complex Kleinian Groups. With J. P. Navarrete, A. Cano. “Progress in Mathematics” vol. 303, 2012, Birkhauser. Monograph. https://link.springer.com/book/10.1007/978-3-0348-0481-3

37) “On Discrete groups of automorphisms of P2C”. With A. Cano. Geometria Dedicata 168 (2014), 9-60. DOI: 10.1007/s10711-012-9816-z

38) “Lê cycles and Milnor classes”. With R. Callejas-Bedregal, M. F. Z. Morgado. Inventiones Mathematicae 197 (2014), 453-482. https://link.springer.com/article/10.1007/s00222-013-0450-7

39) “On the topology of real analytic maps”. With J. L. Cisneros-Molina, N. G. Grulha Jr. Internat. J. Math. 25 (2014), no. 7. https://doi.org/10.1142/S0129167X14500694

40) “The Le-Greuel formula for functions on analytic spaces”. With R. Callejas-Bedregal, M. F. Z. Morgado, M. Saia. Tohoku Math. J. (2) 68, No. 3, 439-456 (2016). DOI: 10.2748/tmj/1474652267

41) “Action of R-Fuchsian groups on CP2 ”. With A. Cano, J. Parker. Asian J. Math. 20, No. 3, 449-474 (2016). DOI: 10.4310/AJM.2016.v20.n3.a3

42) “On the Le-Milnor fibration for real analytic maps”. With A. Menegon. Math. Nachr. 290, No. 2-3, 382-392 (2017). DOI: 10.1002/mana.201600066

43) “On the Chern classes of singular complete intersections”. With R. Callejas-Bedregal, M. F. Z. Morgado. Journal of Topology 13 (2020), 159-174. https://doi.org/10.1112/topo.12129 44) “On Milnor’s Fibration theorem and its offspring after 50 years”. Bulletin American Math. Soc. 56 (2019), 281-348. DOI: 10.1090/bull/1654