GUILLAUME VALETTE

Associate Professor at the Institute of Mathematics of the Polish Academy of Sciences

Information:

field of research: real algebraic geometry, singularities, metric properties
e-mail: gvalette at impan dot pl
address: Instytut Matematyczny, Polska Akademia Nauk, ul. Sw. Tomasza 30, Kraków

Articles:

Published and accepted articles:

On the geometry of polynomial mappings at infinity (with A. Valette) to be published in Ann. Inst. Fourier ().

A Lefschetz duality for intersection homology to be published in Geom Dedicata (abstract).
On a singular variety associated to a polynomial mapping (with Nguyen Thi Bich Thuy & A. Valette) Journal of Singularities volume 7 (2013), 190-204 ().

Vector bundles and regulous maps (with M. Bilski, W. Kucharz & A. Valette) Math. Z. 275 (2013), no. 1-2, 403–418 (abstract).
On bi-Lipschitz stability of families of functions Journal of Singularities 6 (2012), 179-198 (abstract).
L^∞ cohomology is intersection cohomology Adv. Math. 231 (2012), no. 3-4, 1818–1842 (abstract).
C⁰and bi-Lipschitz K-equivalence (with M.A.S. Ruas) Math. Z. 269 (2011) no.1-2, 293--308 (abstract).
De Rham theorem for $L^\infty$ forms and homology on singular spaces (with L. Sharster) C. R. Math. Acad. Sci. Soc. R. Can.32 (2010), no. 1. (abstract)
Vanishing homology Sel. Math. New Series 16 (2010), 267-296 (abstract).
Multiplicity mod 2 as a metric invariant Discrete and Computational Geometry 43 (2010), issue 3 , 663--679 (abstract).
Bi-Lipschitz trivial quasi-homogeneous stratifications (with Dwi Juniati) Saitama Math. J. 26 (2009), 1--13 (abstract).
Notes on vanishing homology C. R. Math. Acad. Sci. Soc. R. Can. 31 (2009), no. 4, 118--126.
Bi-Lipschitz sufficiency of jets Journal of Geometric Analysis 19 no.4, 963-993 (2009) (abstract).
On metric types that are definable in an o-minimal structure J. Symbolic Logic 73 (2008), no. 2, 439--447 (abstract).
Volume, Whitney conditions and Lelong number Ann. Polon. Math. 93 (2008), 1--16 (abstract).
The link of the germ of a semi-algebraic metric space Proc. Amer. Math. Soc. 135(2007), 3083--3090. (abstract).
Lipschitz triangulations (pdf) Illinois J. Math. 49 (2005), issue 3, 953--979 (abstract).
Volume and multiplicities of real analytic sets Ann. Pol. Math. 87 (2005), 265--276 (abstract).
A bilipschitz version of Hardt's theorem C. R. Acad. Sci. Paris, Ser. I 340 (2005), issue 12, 895--900 (abstract).
Lipschitz stratifications and generic wings (with Dwi Juniati and David Trotman) J. London Math. Soc. (2) 68 (2003), no. 1, 133--147 (abstract).

Submitted articles:

L¹ cohomology of bounded subanalytic manifolds
De Rham Theorem for $L^\infty$ forms and homology on singular spaces (with Leonid Shartser)

PhD Thesis:

"Détermination et stabilité du type métrique des singularités" (pdf), advisor: David Trotman (Université de Provence).

Organization of workshops:

co-organizer of "Off conference - young researchers in honour of Professor Stanisław Łojasiewicz" , 21-27 mars 2004
co-organizer of " Summer school and workshop: Tame geometry - a tribute to René Thom and Stanisław Łojasiewicz", 6-18 juin 2005
co-organizer of "Geometry and Topology of Singular Spaces", CIRM Luminy, 29.10-2.11.2012