Adam PARUSINSKI Laboratoire J.-A. Dieudonné Université de Nice Sophia Antipolis Parc Valrose 06108 Nice Cedex 02 France Office: S610 (2nd floor) (33) 4 92 07 64 85 (33) 4 93 51 79 74 (fax) parus at unice dot fr

 

I'm a professor at the Department of Mathematics of the University of Nice Sophia Antipolis.

Algebra, Topology and Geometry seminar

Conference
The 1st Franco-Japanese-Vietnamese Symposium on Singularities
(and the 7th Franco-Japanese Symposium on Singularities)
Nice, September 16-21, 2013    

• Areas of research
  • Real Algebraic Geometry. Topology of real algebraic sets.
  • Real and complex singularities. Dynamical Systems.

• Recent Preprints and Publications.
  • Characteristic Classes of Singular Varieties via Conormal Geometry, lectures at the annual meeting of GDR Singularités. Classes caractéristiques. Porquerolles 22 au 26 octobre 2012
    
  • The weight filtration for real algebraic varieties II: Classical Homology, (with C. McCrory), to appear in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A.
    
  • The Abhyankar-Jung Theorem, (with G. Rond), Journal of Algebra 365 (2012) 29-41
    
  • Inverse Function Theorems for Arc-analytic Homeomorphisms, (with T.Fukui and K.Kurdyka)
  • Equivalence relations for two variable real analytic function germs, (with S. Koike), to appear in J. Mathematical Society Japan.
  • On the non-analyticity locus of an arc-analytic function, (with K. Kurdyka), Oberwolfach Preprint 2009 - 03, J. Algebraic Geom. 21 (2012), no. 1,61–75.
  • The weight filtration for real algebraic varieties, (with C. McCrory), in "Topology of Stratified Spaces",  MSRI Publications Volume 58, 2011, Berkeley, California, 121-160.
  • Blow-analytic equivalence of two variable real analytic function germs, (with S. Koike), J. Algebraic Geom. 19 (2010), no. 3, 439–472.
  • A criterion for topological equivalence of two variable complex analytic function germs, Proc. Japan Acad. Ser. A Math. Sci. Volume 84, Number 8 (2008), 147-150.
  • Arc-symmetric Sets and Arc-analytic Mappings, (with K. Kurdyka), course at Winter School Real Algebraic and Analytic Geometry and Motivic Integration, Aussois, Savoie, in "Arcs Spaces and Additive Invariants in Real algebraic and Analytic Geometry", Panoramas et Synthèses, 24 (2008), SMF, 33-67. 
    
  • Algebraically Constructible Functions: Real Algebra and Topology , (with C. McCrory) , in "Arcs Spaces and Additive Invariants in Real algebraic and Analytic Geometry", Panoramas et Synthèses, 24 (2008), SMF, 69-85.
  • Characteristic Classes of Singular Varieties, Proceedings of 12th MSJ-IRI symposium "Singularity theory and its applications". Advances Studies in Pure Mathematics 43, Mathematical Society of Japan, 2006, pp. 347--368 ,
  • Quasi-convex Decomposition in o-Minimal Structures. Application to the Gradient Conjecture, (with K. Kurdyka), Proceedings of 12th MSJ-IRI symposium "Singularity theory and its applications". Advances Studies in Pure Mathematics 43, Mathematical Society of Japan, 2006, pp. 137--178 ,
  • Integrability of some functions on semi-analytic sets, in Singularitées franco-japonaises, Brasselet, Suwa eds., Seminaires et Congrès 10, SMF 2005, 243-254,
  • Bi-Lipschitz trivialization of the distance function to a stratum of a stratification, Ann. Pol. Math., 87 (2005), 213-218,
  • Newton-Puiseux Roots of Jacobian Determinants , (with T.-C. Kuo), J. Algebraic Geometry, 13 (2004), 570-601
  • Topology of Injective Endomorphisms of Real Algebraic Varieties, Math. Annalen, 328 (2004) 353-372
  • Invariants of Bi-Lipschitz Equivalence of Real Analytic Functions, (with J.P. Henry), in Geometric Singularity Theory, Banach Center Publications 65, PWN, Warszawa 2004, 67-75,
  • Motivic-type Invariants of Blow-analytic Equivalence, (with S. Koike), Ann. Institut Fourier 53 , 7(2003), 2061-2104,
  • Existence of Moduli for bi-Lipschitz Equivalence of Analytic Functions, (with J.-P. Henry), Compositio Math. 136 (2003), 217-235
  • On the Preparation Theorem for Subanalytic Functions, University of Angers preprint no. 108, September 2000, in New Developments in Singularity Theory, D. Siersma et al. (eds), Kluver Academic Publisher, 2001, pp. 193-215.
  • Characteristic Classes of Hypersurfaces , (with P. Pragacz), J. Algebraic Geometry , 10 (2001), 63-79 .
  • Proof of Gradient Conjecture of R. Thom, (with K. Kurdyka and T. Mostowski), Annals of Mathematics, 152 (2000),763-792,
  • Newton Polygon Relative to an Arc, (with T.-C. Kuo), in Real and Complex Singularities (Sao Carlos, 1998), Chapman & Hall Res. Notes Math., 412 (2000), 76-93