Publications

Survey:

On subanalytic geometry, to be published in Panoramas & Synthèses

Published articles:

On the Laplace equation on bounded subanalytic manifolds, Calculus of Variations and Partial Differential Equations vol. 63, (2024) article no. 236
Trace operators on bounded subanalytic manifolds (with Anna Valette), Selecta Mathematica vol. 30, 54 (2024)
On Sobolev spaces of bounded subanalytic manifolds, Mathematische Annalen vol. 390 (2024), 2413–2457
Regular Vectors and Bi-Lipschitz Trivial Stratifications in O-Minimal Structures, in "Handbook of Geometry and Topology of Singularities IV", Springer (2023) (arXiv)
A remark on C^∞ definable equivalence (with Anna Valette), Annales Polonici Mathematici vol. 131.1 (2023), 79-84
Uniform Poincare inequality in o-minimal structures (with Anna Valette), Mathematical Inequalities and Applications vol. 26 (2023), 141-150
Approximations in globally subanalytic and Denjoy-Carleman classes (with Anna Valette), Advances in Mathematics vol. 385 (2021), 107764
Poincaré Inequality on Subanalytic Sets (with Anna Valette), Journal of Geometric Analysis vol. 31 (2021), 10464–10472
Poincaré duality for L^p cohomology on subanalytic singular spaces, Mathematische Annalen vol. 380 (2021), 789–823
Whitney stratifications and the continuity of local Lipschitz Killing curvatures (with Nhan Nguyen), Annales de l'Institut Fourier vol. 68 no.5 (2018), 2253-2276
On the local geometry of definably stratified sets (with David Trotman), in Contemporary Mathematics (2017), "Ordered algebraic structures and related topics", American Mathematical Society (AMS) (arXiv)
A generalized Sard theorem on real closed fields (with Anna Valette), Mathematische Nachrichten vol. 289 , no 5-6 (2016), 748–755
Lipschitz stratifications in o-minimal structures (with Nhan Nguyen), Annales Scientifiques de l'Ecole Normale Superieure vol. 49 (no.2) (2016), 399–421
Stokes' formula for stratified forms, Annales Polonici Mathematici vol. 114 (2015), 197-206
Arc-quasianalytic functions (with Edward Bierstone and Pierre Milman), Proceedings of the American Mathematical Society vol. 143 (2015), 3915-3925
On the geometry of polynomial mappings at infinity (with Anna Valette), Annales de l'Institut Fourier vol. 64, fascicule 5 (2014), 2147-2163
A Lefschetz duality for intersection homology, Geometriae Dedicata vol. 169, issue 1 (2014), 283-299
On a singular variety associated to a polynomial mapping (with Nguyen Thi Bich Thuy and Anna Valette), Journal of Singularities vol. 7 (2013), 190-204
Vector bundles and regulous maps (with Marcin Bilski, Wojciech Kucharz and Anna Valette), Mathematische Zeitschrift vol. 275, no. 1-2 (2013), 403–418
On bi-Lipschitz stability of families of functions, Journal of Singularities vol. 6 (2012), 179-198
L^∞ cohomology is intersection cohomology, Advances in Mathematics vol. 231 (2012), 1818-1842
C⁰ and bi-Lipschitz K-equivalence (with Maria Ruas), Mathematische Zeitschrift vol. 269 (2011), 293-308
De Rham theorem for L^∞ forms and homology on singular spaces (with Leonid Sharster), C. R. Math. Acad. Sci. Soc. R. Can vol. 32 (2010)
Vanishing homology, Selecta Mathematica-New Series vol. 16 (2010), 267-296
Multiplicity mod 2 as a metric invariant, Discrete and Computational Geometry vol. 43 (2010), 663-679
Notes on vanishing homology, C. R. Math. Acad. Sci. Soc. R. Can vol. 31 (2009), 118-126
Bi-Lipschitz trivial quasi-homogeneous stratifications (with Dwi Juniati), Saitama Mathematical Journal vol. 26 (2009), 1-13
Bi-Lipschitz sufficiency of jets, Journal of Geometric Analysis vol. 19 (2009), 963-993
On metric types that are definable in an o-minimal structure, Journal of Symbolic Logic vol. 73 (2008), 439-447
Volume, Whitney conditions and Lelong number, Annales Polonici Mathematici vol. 93 (2008), 1-16
The link of the germ of a semi-algebraic metric space, Proceedings of the American Mathematical Society vol. 135 (2007), 3083-3090
Lipschitz triangulations, Illinois Journal of Mathematics vol. 49 (2005), 953-979
Volume and multiplicities of real analytic sets, Annales Polonici Mathematici vol. 87 (2005), 265-276
A bilipschitz version of Hardt's theorem, Comptes Rendus Mathematique vol. 340 (2005), 895-900
Lipschitz stratifications and generic wings (with Dwi Juniati and David Trotman), Journal of the London Mathematical Society vol. 68 (2003), 133-147

Preprints on arXiv.org:

Publications

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