prof. dr hab. Guillaume Valette
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Matematyki
- Katedra Teorii Osobliwości
Profesura Otwarcie: 2022-06-08, Zamknięcie: 2023-07-24
Publikacje:
35.
On the Laplace equation on bounded subanalytic manifolds, Calculus of Variations and Partial Differential Equations vol. 63, article no. 236 (2024), 20pp
34.
Trace operators on bounded subanalytic manifolds, Selecta Mathematica-New Series vol. 30, paper no. 54 (2024), 29 pp
33.
On Sobolev spaces of bounded subanalytic manifolds, Mathematische Annalen vol. 390 (2024), 2413–2457
32.
Regular Vectors and Bi-Lipschitz Trivial Stratifications in O-Minimal Structures, (2023), "Handbook of Geometry and Topology of Singularities IV", Springer
31.
A remark on C∞ definable equivalence, Annales Polonici Mathematici vol. 131.1 (2023), 79-84
30.
29.
28.
Poincaré Inequality on Subanalytic Sets, Journal of Geometric Analysis vol. 31 (2021), 10464–10472
27.
Poincaré duality for L^p cohomology on subanalytic singular spaces, Mathematische Annalen vol. 380 (2021), 789–823
26.
Viet Nhan Nguyen, Guillaume Valette
Whitney stratifications and the continuity of local Lipschitz Killing curvatures, Annales de l'Institut Fourier vol. 68 no.5 (2018), 2253-2276
25.
David Trotman, Guillaume Valette
On the local geometry of definably stratified sets vol. Contemporary Mathematics (2017), "Ordered algebraic structures and related topics", American Mathematical Society (AMS)
24.
A generalized Sard theorem on real closed fields, Mathematische Nachrichten vol. 289 , no 5-6 (2016), 748–755
23.
Viet Nhan Nguyen, Guillaume Valette
Lipschitz stratifications in o-minimal structures, Annales Scientifiques de l'Ecole Normale Superieure vol. 49 (no.2) (2016), 399–421
22.
Stokes' formula for stratified forms, Annales Polonici Mathematici vol. 114 (2015), 197-206
21.
Edward Bierstone, Pierre Milman, Guillaume Valette
Arc-quasianalytic functions, Proceedings of the American Mathematical Society vol. 143 (2015), 3915-3925
20.
On the geometry of polynomial mappings at infinity, Annales de l'Institut Fourier vol. vol. 64, fascicule 5 (2014), 2147-2163
19.
A Lefschetz duality for intersection homology , Geometriae Dedicata vol. 169, issue 1 (2014), 283-299
18.
Nguyen Thi Bich Thuy, Anna Valette, Guillaume Valette
On a singular variety associated to a polynomial mapping, Journal of Singularities vol. 7 (2013), 190-204
17.
Vector bundles and regulous maps, Mathematische Zeitschrift vol. 275, no. 1-2 (2013), 403–418
16.
On bi-Lipschitz stability of families of functions, Journal of Singularities vol. 6 (2012), 179-198
15.
L^infty cohomology is intersection cohomology, Advances in Mathematics vol. 231 (2012), 1818-1842
14.
Maria A. S. Ruas, Guillaume Valette
C^0 and bi-Lipschitz K-equivalence, Mathematische Zeitschrift vol. 269 (2011), 293-308
13.
Leonid Sharster, Guillaume Valette
De Rham theorem for $L^infty$ forms and homology on singular spaces, C. R. Math. Acad. Sci. Soc. R. Can vol. 32 (2010),
12.
Vanishing homology , Selecta Mathematica-New Series (2010), 267-296
11.
Multiplicity mod 2 as a metric invariant, Discrete and Computational Geometry vol. 43 (2010), 663-679
10.
Notes on vanishing homology, C. R. Math. Acad. Sci. Soc. R. Can vol. 31 (2009), 118-126
9.
Dwi Juniati, Guillaume Valette
Bi-Lipschitz trivial quasi-homogeneous stratifications, Saitama Mathematical Journal vol. 26 (2009), 1-13
8.
Bi-Lipschitz sufficiency of jets, Journal of Geometric Analysis vol. 19 (2009), 963-993
7.
On metric types that are definable in an o-minimal structure , Journal of Symbolic Logic vol. 73 (2008), 439-447
6.
Volume, Whitney conditions and Lelong number, Annales Polonici Mathematici vol. 93 (2008), 1-16
5.
The link of the germ of a semi-algebraic metric space, Proceedings of the American Mathematical Society vol. 135 (2007), 3083-3090
4.
Lipschitz triangulations, Illinois Journal of Mathematics vol. 49 (2005), 953-979
3.
Volume and multiplicities of real analytic sets , Annales Polonici Mathematici vol. 87 (2005), 265-276
2.
A bilipschitz version of Hardt's theorem, Comptes Rendus Mathematique vol. 340 (2005), 895-900
1.
Dwi Juniati, David Trotman, Guillaume Valette
Lipschitz stratifications and generic wings , Journal of the London Mathematical Society vol. 68 (2003), 133-147
Konferencje organizowane:
2.
GKLW Mini-Workshop on Singularity Theory, Kraków, 2023-12-01, 2023-12-02
1.
GKLW Mini-Workshop in Singularity Theory in loving memory of Professor Arkadiusz Płoski, Warszawa, 2024-06-21, 2024-06-22
Recenzje (po 27 października 2003 roku)
Granty (realizowane po maju 2009 roku)
| Tytuł | Rola | Rozpoczęcie | Zakończenie |
|---|---|---|---|
| Metryczna teoria osobliwości i jej zastosowania | Kierownik | 2011-12-30 | 2014-12-29 |
| Geometria zbiorów i odwzorowań z osobliwościami | Kierownik | 2015-01-27 | 2019-11-26 |
| Równania różniczkowe cząstkowe na obszarach i rozmaitościach subanalitycznych; | Kierownik | 2022-07-15 | 2026-07-14 |