Published articles:
- On Sobolev spaces of bounded subanalytic manifolds, Mathematische Annalen (2024) (arXiv)
- 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 Lp 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. 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, 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 (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:
- On the Laplace equation on bounded subanalytic manifolds
- Trace operators on bounded subanalytic manifolds (with Anna Valette) (to be published in Selecta Mathematica)