Luisa PAOLUZZI

   
 
  I am a full professor at the LATP of the Université de Provence (Aix-Marseille I). I graduated from the Mathematics Department of Trieste University before completing my Ph.D. at SISSA. After finishing my thesis under the supervision of B. Zimmermann, I spent one and a half years at the laboratoire E. Picard in Toulouse, with grants of Università di Trieste and CNR. From 1999 to 2008, I held permanent position as maître de conférences at the Institut de Mathématiques de Bourgogne of Burgundy University. More personal details here.

Research Interests

Three-dimensional hyperbolic geometry and topology, knot theory, group theory.

(2004-2007) Member of the project  ACI  Structures géométriques en théorie de groupes et topologie.

Member of the "Mathématiques Fondamentales" group.

Publications and Preprints

• L. P., J. Porti- Non-standard components of the character variety for a family of Montesinos knots. (pdf)
  
• L. P., J. Porti- Conway spheres as ideal points of the character variety. To appear in Math. Ann. (pdf)
  
• M. Boileau, L. P.- On cyclic branched coverings of prime knots. J. Topol. 1, (2008), 557-583.(pdf)
• J. Crisp, L. P.- Commensurability classification of a class of right-angled Coxeter groups. Proc. Amer. Math. Soc. 136, (2008), 2343-2349. (pdf)
• M. Boileau, L. P., B. Zimmermann- A characterisation of S³ among homology spheres. Geom. Topol. Monogr. 14, (2008), 83-103. (pdf)
• L. P., J. Porti- Hyperbolic isometries versus symmetries of links. Topology Appl. 156, (2009), 1140-1147.(pdf)
• A. Cavicchioli, L.P., F. Spaggiari- On the classification of Kim and Kostrikin manifolds. J. Knot Theory Ramifications 15, (2006), 549-569. (pdf)
• L.P.- Conway irreducible hyperbolic knots with two common covers. Comment. Math. Helv.80, (2005), 643-653. (pdf)
• C. Bonatti, L.P.- 3-manifolds which are orbit spaces of diffeomorphisms. Topology 47, (2008), 71-100. (pdf)
• L.P.- Hyperbolic knots and cyclic branched covers. Publ. Mat. 49, (2005), 257-284. (pdf)
• J. Crisp, L.P.- On the classification of CAT(0) structures for the 4-string braid group. Michigan Math. J. 53, (2005), 133-163. (pdf)
• L.P.- Three cyclic branched covers suffice to determine hyperbolic knots. J. Knot Theory Ramifications 14, (2005), 641-655. (pdf)
• L.P., L. Paris- A note on the Lawrence-Krammer-Bigelow representation. Algebr. Geom. Topol. 2, (2002), 499-518. (pdf)
• L.P.- On hyperbolic type involutions. Rend. Istit. Mat. Univ. Trieste. Suppl. 1, vol. 32, (2001), 221-256.
• L.P.- Non equivalent hyperbolic knots. Topology Appl. 124, (2002), 85-101. (pdf) 
• A. Cavicchioli, L.P.- On certain classes of hyperbolic 3-manifolds. Manuscripta Math 101, (2000), 457-494. (pdf)  
• L.P.- On pi-hyperbolic knots and branched coverings. Comment. Math. Helv. 74, (1999), 467-475. (pdf); Erratum. Comment. Math. Helv. 80, (2005), 225-227. (pdf)
• L.P.- Determining knots via 2-fold branched coverings. (pdf)
• L.P., M. Reni- Homologically trivial actions on cyclic coverings of knots. Pacific J. Math. 188, (1999), 155-177. (pdf)
• L.P.- On a class of cyclic branched coverings of (S² x S¹)-B³. Atti Sem. Mat. Fis. Univ. Modena 46, (1998), 443-456.
• L.P., B. Zimmermann- Finite quotients of the Picard group and related hyperbolic tetrahedral and Bianchi groups. Rend. Istit. Mat. Univ. Trieste. Suppl. 1, vol. 32, (2001), 257-288. 
• L.P.- PSL(2,q)quotients of some hyperbolic tetrahedral and Coxeter groups. Commun. Algebra 26, (1998), 759-778.
• L.P., B. Zimmermann- On a class of hyperbolic 3-manifolds and groups with one defining relation. Geom. Dedicata 60, (1996), 113-123. (pdf)

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