Vincent FLORENS                                                                                          

Geometric Topology, Knot  Theory, Plane Algebraic Curves

Equipe ALGEBRE et GEOMETRIE

LABORATOIRE DE MATHÉMATIQUES ET DE LEURS APPLICATIONS - PAU, UMR CNRS 5142
Bâtiment IPRA - Université de Pau e
t des Pays de l'Adour
Avenue de l'Université - BP 115
5
64013 PAU CEDEX

Bureau : 224 - Tél  : +33 (0)5 59 40 75 17 - Fax : +33 (0)5 59 40 75 55
Courriel : vincent.florens (at) univ-pau.fr

Recent Invited Conferences:

. Symposium on singularities and their topology, Hannover (Germany), 07.2014
. Branched coverings, Degenerations and Related Topics, Hiroshima (Japan), 03.2014
. Swiss Knots, Bern  04.2013

Projects/Organisation:
. Sakura project 2014, France-Japan
. I was co-organisator of  Arrangements in Pyrenees
. I was the coordinator of the ANR Jeunes Chercheurs Project INTERLOW  JCJC-0097-01. See the strarting conference, Braids in Pau.
. WinterBraids: Annual school/conference on Low Dimensional Topology, Knot theory and Braid groups.  Winterbraids
                       
                       
Career:

2008- Maitre de Conférences, Université de Pau
2006-2008 Maitre-Assistant, Universite de Genève
2005-2006 Assistant, Universitat Zurich
2004-2005 Postdoctoral Fellow Marie-Curie, Unversidad de Zaragoza (Spain)
2003-2004 Collaborateur FNRS, Université Libre de Bruxelles
2002-2003 ATER Université L.Pasteur, Strasbourg
2001-2002 ATER Université Bretagne Sud, Vannes
Dec 2001: PHD Thesis, Murasugi-Tristram Inequalitites for Generalized Signatures of links, Advisors: T.Fiedler and S.Orevkov
(Pre)-Publications:

.  Alexander invarians of ribbon tangles and planar algebras, (with C.Damiani)
.  A functorial extension of the Magnus representation to the category of  three-dimensional cobordisms (with G.Massuyeau, J. Serrano)
 
. The signature of a splice (with A.Degtyarev, A.Lecuona)
    International Mathematics Research Notices 2016.
.
A topological invariant of line arrangements  (with E.Artal, B.Guerville)
    To appear in Annali della Scuola Normale Superiore di Pisa - Classe di Scienze.
.  On complex line arrangements and their boundary manifolds (with B.Guerville, M.Marco)
     Mathematical Proceedings of the Cambridge Philosophical Society (2015) 159, pp 189-205
.  A functorial extension of the abelian Reidemeister torsion of three-manifolds (with G.Massuyeau)
    L'Enseignement Mathématiques 61:1/2 (2015) 161-210
. Alexander representation of tangles  (with S.Bigelow, A.Cattabriga)
    Acta Vietnamica Mathematica Vol. 40 (2) pp 339-352
.  Braids in Pau- An Introduction (with E.Artal)
   Annales Mathématiques B.Pascal 18, 1-14 (2011)
. Twisted Alexander polynomial of plane algebraic curves (with J.I.Cogolludo)
  Journal of London Math. Society (2007) Vol. 76 Part 1, p105-121
. Generalized Seifert surfaces and signature of colored links (with D.Cimasoni)
  Transaction of the American Mathematical Society 360, (2008) p1223-1264
. Signatures of colored links with an application to real algebraic curves
  Journal of Knot Theory and its Ramifications (2005) 14 , no. 7, p883-918
. On the Fox-Milnor theorem for the Alexander polynomial of links
  International Mathematics Research Notices (2004) 2, p55-67
. On the slice genus of links (avec P.Gilmer)
  Algebraic and Geometric Topology (2003) 3, p905-920. 

Students:
 I am co-advisor of the PHD students (in cotutelle with University of Zaragoza, Spain)

   Jorge Ortigas
   Benoit Guerville Dec. 2013
   Juan Viu Sos 2015
   Juan Serrano de Rodrigo (avec G.Massuyeau et E.Artal)