Luisa PAOLUZZI

   
 
I am full professor at the I2M of the Aix-Marseille Univ. (previously LATP and 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 a 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.

(2012-2016) Member of the project ANR "Geometry of subgroups"

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

Member of the "GDAC" group.

Member of the editorial board of Publicacions Matemàtiques.

        Congresses

Workshop 3-dimensional geometry and topology (September 13th-16th 2010)

CNRS/JPSJ joint seminar:  Aspects of representation theory in low-dimensional topology and 3-dimensional invariants (November 5th-9th, 2012)

        Other stuff

Publications and Preprints

• P. Haïssinsky, L. P., G. Walsh-- On groups with Schottky set boundary. (pdf)
• J. Chessa, L.P.- A note on a paper by R. C. Alperin. (pdf)
• L. P.- Cyclic branched covers of alternating knots. Ann. H. Lebesgue 4, (2021), 811-830. (pdf)
• J. Los, L. P., A. Salgueiro- Non-isometric hyperbolic 3-orbifolds with the same topological type and volume. Rend. Ist. Mat. Univ. Trieste 52, (2020), 459-468. (pdf)
  
• L. P., J. Porti- Examples of character varieties in characteristic p and ramification. Contemporary Mathematics 760, (2020), 229-261. (pdf)
• Jang, L. P.- Double covers of tunnel number one knots. Geom. Dedicata 211, (2021), 129-143. (pdf)
• L. P., M. Sakuma- Prime amphicheiral knots with free period 2. Proc. Edinburg Math. Soc. 63, (2020), 105-138. (pdf)
• P. Haïssinsky, L. P., G. Walsh- Boundaries of Kleinian groups. Illinois J. Math. 60, (2016), 353-364. (pdf)
  
• L.P.- In how many ways can a 3-manifold be the cyclic branched cover of a knot in S³? RIMS Kôkyûroku 1991, (2016), 140-147. (pdf)
• J. Los, L. P., A. Salgueiro- A note on covers of finite hyperbolic manifolds. Publ. Mat. 61, (2017), 517-527. (pdf)
  
• M. Boileau, C. Franchi, M. Mecchia, L.P., B. Zimmermann- Finite group actions and cyclic branched covers of knots in S³. J. Topol. 11, (2018), 283-308. (pdf)
• L. P., J. Porti- Invariant character varieties of hyperbolic knots with symmetries. Math. Proc. Cambridge Phil. Soc. 165, (2018), 193-208. (pdf)
  
• L. P.- The notion of commensurability in group theory and geometry. RIMS Kôkyûroku 1836, (2013), 124-137.  (pdf)
  
• L. P., J. Porti- Non-standard components of the character variety for a family of Montesinos knots. Proc. London Math. Soc. 107, (2013), 655-679. (pdf)
  
• L. P., J. Porti- Conway spheres as ideal points of the character variety. Math. Ann. 354, (2012), 707-726. (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. (pdf)
  
• 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.  (pdf)
  
• 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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