Publicaciones y prepublicaciones
- Multiplier ideals of plane curve singularities via Newton polygons, con Manuel González Villa, Carlos R. Guzmán Durán, Miguel Robredo Buces (2023); Communications in Algebra, DOI: 10.1080/00927872.2023.2257799
- Resolving singularities of curves with one toric morphism, con Ana Belén de Felipe, y Hussein Mourtada, Mathematische Annalen (2023) 387:1853–1902 https://doi.org/10.1007/s00208-022-02504-7
- The combinatorics of plane curve singularities. How Newton polygons blossom into lotuses, con Evelia García Barroso y Patrick Popescu-Pampu; Handbook of Geometry and Topology of Singularities I (José Luis Cisneros-Molina, Lê Dung Tráng, and José Seade, eds.), Springer International Publishing, 2020, pp. 1-150. Slides
- The valuative tree is the projective limit of Eggers-Wall trees , con Evelia García Barroso y Patrick Popescu-Pampu; Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A Matemáticas, 113, 4051-4105, (2019), https://doi.org/10.1007/s13398-019-00646-z
- Ultrametric properties for valuation spaces of normal surface singularities, con Evelia García Barroso, Patrick Popescu-Pampu y Matteo Ruggiero; Trans. Amer. Math. Soc. 372 (2019), 8423-8475, https://doi.org/10.1090/tran/7854
- Ultrametric spaces of branches on arborescent singularities, con Evelia García Barroso y Patrick Popescu-Pampu, en Singularities, Algebraic Geometry, Commutative Algebra and Related Topics. Festschrift for Antonio Campillo on the Occasion of his 65th Birthday. G.-M. Greuel, L. Narvaéz and S. Xambo-Descamps eds. Springer, 2018.
- Variations on inversion theorems for Newton-Puiseux series, con Evelia García Barroso y Patrick Popescu-Pampu, Math. Ann. 368, 1359-1397 (2017), doi:10.1007/s00208-016-1503-1
- Toric geometry and the Semple-Nash modification, con Bernard Teissier, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A Matemáticas, nº108, pag. 1-48, 2014. doi: 10.1007/s13398-012-0096-0.
- Arithmetic Motivic Poincaré series of toric varieties, con Helena Cobo, Algebra and Number Theory, Vol 7, no. 2, 405- 430, 2013.
- Motivic Milnor fiber of a quasi-ordinary hypersurface, con Manuel González Villa, J. Reine Angew. Math. nº 68, pag. 159-205, 2014. DOI: 10.1515/crelle-2012-0049
- Log canonical thresholds of quasi-ordinary hypersurface singularities, con Nero Budur y Manuel González Villa, Proc. Amer. Math. Soc., Vol. 140, Nº 12, pag. 4075-4083, 2012.
- Motivic Poincaré series, toric singularities and logarithmic jacobian ideals, con Helena Cobo Pablos, Journal of Algebraic Geometry, Vol. 21, no. 3, 495-529, 2012.
- Geometric motivic Poincaré series of quasi-ordinary singularities, con Helena Cobo Pablos, Math. Proc. Camb. Phil. Soc., Vol 149, Nº 01, pp. 49-74, 2010.
- Multi-Harnack smoothings of real plane branches, con Jean-Jacques Risler, Annales Scientifiques de l'École Normale Supérieure, Vol 43, Nº1, pag. 143-183, 2010.
- Approximate Roots, Toric Resolutions and Deformations of a Plane Branch, Journal Math. Soc. Japan. Vol 62, Nº3, pag. 975-1004, 2010 (includes a correction of the published version of the paper).
- Quasi-ordinary singularities, essential divisors and Poincaré series, con Fernando Hernando, Journal of the London Mathematical Society, 2009; doi: 10.1112/jlms/jdp014
- Bijectiveness of the Nash map for quasi-ordinary hypersurface singularitiesInternational Math. Research Notices, Nº19, Art.ID rnm076, 13 pag, 2007.
- Arcs and jets on toric singularities and quasi-ordinary singularities con Helena Cobo Pablos, Abstracts from the workshop held January 29--February 4, 2006. Convex and algebraic geometry. Oberwolfach Reports. Vol. 1, pag 302--304 (2006).
- Decomposition in bunches of the critical locus of a quasi-ordinary map, con Evelia. García Barroso, Compositio Math. 141 (2005) 461-486.
- Analytical invariants of quasi-ordinary hypersurface singularities associated to divisorial valuations, con Gerardo Gonzalez-Sprinberg, Kodai Mathematical Journal, 27, Nº 2, (2004), 164-173.
- Toric embedded resolutions of quasi-ordinary hypersurface singularities, Annales de l'Inst. Fourier (Grenoble), 56 (6), 2003, 1819-1881.
- The semigroup of a quasi-ordinary hypersurface, Journal de l'Institut de Mathématiques de Jussieu, 2(3), (2003) 383-399.
- The zeta function of a quasi-ordinary singularity II, con Andras Némethi y John Lee McEwan, Contemporary Mathematics, Vol 324, 109-122, 2003
- Embedded resolution of non necessarily normal afine toric varieties, con Bernard Teissier, C.R. Acad. Sci. Paris Sec. 1 Mathématiques, 334, (2002), 379-382
- Una demostración constructiva de la existencia de un homeomorfismo entre P(3) y SO(3), con Jose María Almira, Gac. R. Soc. Mat. Esp. 4 (2), (2001), 366-374
- Singularités quasi-ordinaires toriques et polyèdre de Newton du discriminant, Canadian Journal of Mathematics, 52 (2), (2000), 348-368.
- Quasi-ordinary singularities and toric geometry, ISBN 84-688-3064-X, Tesis Doctorales Curso 1999/2000, Ciencias y Tecnologías, Colección Soportes Audiovisuales e Informáticos, Servicio de Publicaciones de la Universidad de La Laguna. ISBN: 84-7756-522-X (Edición en CD), 2002
- Étude des singularités quasi-ordinaires d'hypersurface au moyen de la géométrie torique, Thèse de Doctorat de l'Université de Paris 7, Spécialité Mathématiques, soutenu le 15/11/2002.