Publications
My
list of publications.
My
list of publications on Google Scholar.
My
list of publications on MathSciNet.
Some publications and prepublications:
- Motivic height zeta functions
(with A. Chambert-Loir). February 2013, 45 pages.
- Berkovich spaces embed in Euclidean spaces
(with E. Hrushovski and B. Poonen). October 2012, 15 pages.
- Monodromy and the Lefschetz fixed point formula
(with E. Hrushovski). November 2011, 26 pages.
- Non-archimedean tame topology and stably dominated types
(with E. Hrushovski). Revised March 6, 2013, 166 pages. To appear in Annals of Mathematics Studies.
- Chai's Conjecture and Fubini properties of dimensional motivic integration
(with R. Cluckers and J. Nicaise). To appear in Algebra & Number Theory.
- Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
(with R. Cluckers). To appear in Crelle's Journal.
- Local metric properties and regular stratifications of p-adic definable sets
(with R. Cluckers and G. Comte).
Comment. Math. Helv. 87,
963-1009 (2012).
- Transfer Principle for the Fundamental Lemma
(with R. Cluckers and T. Hales).
In
On the Stabilization of the Trace Formula,
edited by
L. Clozel, M. Harris, J.-P. Labesse and B.-C. Ngô, 309-347 (2011),
International Press.
- Lipschitz continuity properties for p-adic
semi-algebraic and subanalytic functions
(with R. Cluckers and G. Comte). Geom. Funct. Anal. 20,
68-87 (2010).
- Constructible exponential functions, motivic Fourier transform and transfer principle
(with R. Cluckers).
Annals of Mathematics 171, 1011-1065 (2010).
- Composition with a two variable function
(with G. Guibert and M. Merle). Math. Research Letters 16, 439-448 (2009).
- Constructible motivic functions and motivic
integration
(with R. Cluckers). Inventiones Mathematicae 173, 23-121 (2008).
- b-minimality
(with R. Cluckers).
Journal of Mathematical Logic 7, 195-227 (2007).
- Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
(with G. Guibert and M. Merle). Duke Mathematical Journal 132, 409-457 (2006).
- Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert
(with R. Cluckers). Comptes rendus de l'Académie des Sciences 341, 741-746 (2005).
- Nearby cycles and composition with a non-degenerate polynomial
(with G. Guibert and M. Merle). Int. Math. Res. Not. 76, 4093-4108 (2005).
- Ax-Kochen-Ersov Theorems for p-adic integrals
and motivic
integration
(with R. Cluckers). In Geometric methods in algebra and number theory, edited by F. Bogomolov and Y. Tschinkel, Progress in Mathematics 235, 109-137 (2005), Birkhäuser.
- Fonctions constructibles et
intégration motivique II
(with R. Cluckers). Comptes rendus de l'Académie des Sciences 339, 487-492 (2004).
- Fonctions constructibles et intégration motivique I
(with R. Cluckers). Comptes rendus de l'Académie des Sciences 339, 411-416 (2004).
- On some rational
generating series occuring in arithmetic geomet ry
(with J. Denef). In Geometric Aspects of Dwork Theory, edited by A. Adolphson, F. Baldassarri, P. Berthelot, N. Katz and F. Loeser, volume 1, de Gruyter, 509-526 (2004).
- Motivic zeta functions of infinite dimensional Lie algebras
(with M. du Sautoy). Selecta Mathematica 10, 253-303 (2004).
- Cobordisme des variétés algébriques [d'après M. Levine et F. Morel]
Séminaire Bourbaki 2002, exposé 901. Astérisque 290, 167-192 (2003).
- Motivic zeta functions for prehomogeneous vector spaces and castling transformations
Nagoya Mathematical Journal, 171, 85-105 (2003).
- Motivic integration on smooth rigid varieties and invariants of degenerations
(with J. Sebag). Duke Mathematical Journal, 119, 315-344 (2003).
- Motivic integration and the Grothendieck group of pseudo-finite fields
(with J. Denef). Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 13-23, Higher Ed. Press, Beijing, 2002.
- Lefschetz numbers of iterates of the monodromy and truncated arcs
(with J. Denef). Topology, 41, 1031-1040 (2002).
- Motivic integration, quotient singularities and the McKay correspondence
(with J. Denef). Compositio Math. 131, 267-290 (2002).
- Macdonald integrals and monodromy
(with J. Denef). Internat. J. Math. 12, 987-1004 (2001).
- Geometry on arc spaces of algebraic varieties
(with J. Denef). Proceedings of 3rd European Congress of Mathematics, Barcelona, Progress in Mathematics 201, 327-348 (2001), Birkhäuser.
- Definable sets, motives and p-adic integrals
(with J. Denef). Journal of the Amer. Math. Soc. 14, 429-469 (2001).
- Motivic exponential integrals and a motivic Thom-Sebastiani Theorem
(with J. Denef). Duke Mathematical Journal, 99, 285-309 (1999).
- Germs of arcs on singular algebraic varieties and motivic integration
(with J. Denef). Inventiones Mathematicae 135, 201-232 (1999).
- Motivic Igusa functions
(with J. Denef). Journal of Algebraic Geometry 7, 505-537 (1998).
- Character sums associated to finite Coxeter groups
(with J. Denef). Trans. A.M.S. 350, 5047-5066 (1998).
- Exposants p-adiques et théorèmes d'indice pour les équations différentielles p-adiques [d'après G. Christol et Z. Mebkhout]
Séminaire Bourbaki novembre 1996, Astérisque 245, 57-81 (1997).
- Faisceaux pervers, transformation de Mellin et déterminants
Mémoires de la Société Mathématique de France 66, 1-105 (1996).
- Principe de Boyarsky et D-modules
Math. Ann. 306, 125-157 (1996).
- Faisceaux pervers l-adiques sur un tore
(with O. Gabber). Duke Mathematical Journal, 83, 501-606 (1996).
- Regular elements and monodromy of discriminants of finite reflection groups
(with J. Denef). Indag. Math. 6 , 129-143 (1995).
- Détermination géométrique des sommes de Selberg-Evans
(with J. Denef). Bull. Soc. Math. France 4 , 533-551 (1994).
- Caractéristiques d'Euler-Poincaré, fonctions zêta locales et modifications analytiques
(with J. Denef). J. Amer. Math. Soc. 5 , 705-720 (1992).
- Weights of exponential sums, intersection cohomology, and Newton polyhedra
(with J. Denef). Invent. Math. 106 , 275-294 (1991).
- Arrangements d'hyperplans et sommes de Gauss
Ann. Sci. École Norm. Sup. 24 , 379-400 (1991).
- Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres, et discriminants
Ann. Sci. École Norm. Sup. 22 , 435-471 (1989).
- Une estimation asymptotique du nombre de solutions approchées d'une équation p-adique
Invent. Math. 85, 31-38 (1986).
- À propos de la forme hermitienne canonique d'une singularité isolée d'hypersurface
Bull. Soc. Math. France 114 , 385-392 (1986).
- Quelques conséquences locales de la théorie de Hodge
Ann. Inst. Fourier 35 , 75-92 (1985).
- Fonctions d'Igusa p-adiques et polynômes de Bernstein
Amer. J. Math. 110 , 1-21 (1984).