Preprints


  • Polyhedral CAT(0) metrics on locally finite complexes (with Karim A. Adiprasito)
       16p., Mar 2024.
  • Automorphisms of the procongruence pants complex (with Marco Boggi)
       26p., arXiv:2311.17025, Jan 2024.
  • On mapping class groups and their TQFT representations
       14p., arXiv:2302.02883.
  • Orbifold Kahler groups related to mapping class groups (with Philippe Eyssidieux)
       41p., arXiv:2112.06726, Mar 2024.
  • CAT(0) metrics on contractible manifolds (with Karim A. Adiprasito)
       30p., arXiv:1512.06403, Nov 2022.


  • Articles


  • Automorphisms of procongruence curve and pants complexes (with Marco Boggi)
       J. Topology 16 (2023), 936-989. link, arxiv.
  • Singular fibrations over surfaces
       Essays in Geometry- Dedicated to Norbert A'Campo, ed. A. Papadopoulos, European Mathematical Society Publishing House, IRMA Lectures Math. Theor. Phys. 34, Berlin, 2023, 515--556, arxiv.
  • Braided surfaces and their characteristic maps (with Pablo G. Pagotto)
       New York J. Math. 29 (2023), 580--612. arxiv.
  • Finite quotients of symplectic groups vs mapping class groups (with Wolfgang Pitsch)
       North-Western European J. Math. 8 (2022), 111--166, arxiv.
  • On mapping class group quotients by powers of Dehn twists and their representations
       Topology and geometry - A collection of essays dedicated to Vladimir G. Turaev, ed. A. Papadopoulos,
       European Mathematical Society Publishing House, Berlin, 2021, 273--308, arXiv.
  • Maps with finitely many critical points into high dimensional manifolds
       Revista Matematica Complutense 34 (2021), 585--595, arXiv.
  • Asymptotic mapping class groups of closed surfaces punctured along Cantor sets (with Javier Aramayona)
       Moscow Math. J. 21 (2021), 1--29, arXiv.
  • The Schur multiplier of finite symplectic groups (with Wolfgang Pitsch)
       Bull. Soc. Math. France 148 (2020), 515--527, arXiv.
  • On the topology of closed manifolds with quasi-constant sectional curvature
       Journal de l'Ecole Polytechnique 6 (2019), 367--423, arXiv, JEP.
  • Quotients of the mapping class group by power subgroups (with Javier Aramayona)
       Bull. London Math. Soc. 51 (2019), 385-398. link arXiv.
  • Profinite completions of Burnside-type surface groups (with Pierre Lochak)
       Commun. Math. Phys. 360(2018), 1061-1082, arXiv.
  • Diffeomorphisms groups of tame Cantor sets and Thompson-like groups (with Yury Neretin)
       Compositio Math. 154 (2018), 1066-1110, arXiv.
  • Manifolds which admit maps with finitely many critical points into spheres of small dimensions (with Cornel Pintea)
       Michigan Math. J. 67 (2018), 585-615, arXiv.
  • Images of quantum representations of mapping class groups and Dupont-Guichardet-Wigner quasi-homomorphisms (with Wolfgang Pitsch)
       J. Inst. Math. Jussieu 17 (2018), 277-304, arXiv.
  • On the automorphisms group of the asymptotic pants complex of an infinite surface of genus zero (with Maxime Nguyen)
       Math. Nachrichten 289(2016), 1189-1207.
  • On groups with linear sci growth (with Martha Giannoudovardi and Daniele Otera)
       Fundamenta Math. 228(2015), 47-62.
  • Centrally extended mapping class groups from quantum Teichmuller theory (with Rinat Kashaev)
       Advances Math. 252 (2014), 260-291.
  • On power subgroups of mapping class groups,
       J. Gokova Geom. Topol. 8 (2014), 14-34.
  • On Burau representations at roots of unity (with Toshitake Kohno)
       Geometriae Dedicata 169(2014), 145-163.
  • Free subgroups within the images of quantum representations (with Toshitake Kohno)
       Forum Math. 26 (2014), no. 2, 337-355.
  • Torus bundles not distinguished by TQFT invariants with an Appendix joint with Andrei Rapinchuk,
       Geom. Topol. 17(2013), 2289-2344.
  • The first Johnson subgroups act ergodically on SU(2) character varieties, (with Julien Marche)
       J. Diff. Geometry 95(2013), 407-418.
  • Zariski density and finite quotients of mapping class groups,
       International Mathematics Research Notices 2013, no.9, 2078-2096.
  • Asymptotically rigid mapping class groups and Thompson groups (with Christophe Kapoudjian and Vlad Sergiescu)
       Handbook of Teichmuller theory vol III (Editor A.Papadopoulos), 2012, 595-664.
  • Groups which are not properly 3-realizable, (with Francisco Lasheras and Dusan Repovs)
       Rev. Mat. Iberoam. 28(2012), no. 2, 401-414 See also the long version (pdf)
  • Global classification of isolated singularities in dimensions (4,3) and (8,5),
       Ann. Scuola Norm. Sup. Pisa Cl. Sci., vol X (2011), 819-861.
  • The braided Ptolemy-Thompson group T* is asynchronously combable (with Christophe Kapoudjian)
       Comment. Math. Helv. 86(2011), 707-768.
  • Two questions on mapping class groups,
       Proc.Amer.Math.Soc. 139(2011), 375-382. Errata (pdf)
  • Asymptotics of generalized Hadwiger numbers (with Valentin Boju)
       Studia Sci. Math. Hungarica 48(2011), 44-74.
  • Central extensions of the Ptolemy-Thompson group and quantized Teichmuller theory (with Vlad Sergiescu)
       J. Topology 3(2010), 29-62.
  • On the wgsc and qsf tameness conditions for finitely presented groups (with Daniele Otera)
       Groups Geometry and Dynamics 4(2010), 549-596.
  • Examples of smooth maps with finitely many critical points in dimensions (4,3), (8,5) and (16,9), (with Cornel Pintea and Ping Zhang)
       Proc. Amer. Math. Soc. 138(2010), 355-365.
  • An infinite genus mapping class group and stable cohomology (with Christophe Kapoudjian)
       Commun. Math. Phys. 287(2009), 787-804.
  • The minimal number of critical points of maps between closed manifolds (with Dorin Andrica and Elena Kudryavtseva)
       Russian Journal of Mathematical Physics, special issue for the Conference celebrating the 60-th birthday of Nicolae Teleman
       (Ancona and Porto Nuovo, September, 2007), J.-P. Brasselet, A. Legrand, R. Longo, A. Mishchenko, Editors, 16(2009), 363-370.
  • The braided Ptolemy-Thompson group is finitely presented, (with Christophe Kapoudjian)
       Geom. Topol. 12(2008), 475-530.
  • Braided Houghton groups as mapping class groups,
       Annales Sci. Univ. "A.I.Cuza" Jassy, special vol. to the memory of Gh.Ionesei, 53(2007), 229-240.
  • Surface cubications mod flips,
       Manuscripta Math. 125(2008), 285-307.
  • Non-injective representations of a closed surface group into PSL(2,R) (with Maxime Wolff)
       Math.Proc. Cambridge Phil.Soc. 142(2007), 289-304.
  • Ptolemy groupoids actions on Teichmuller spaces,
       Modern Trends in Geometry and Topology, Deva, Romania 2005, (D.Andrica, P.Blaga, S.Moroianu, Eds.), Cluj Univ.Press 2006, p.185-201.
  • On smooth maps with finitely many critical points (with Dorin Andrica)
       J. London Math.Soc. 69(2004), 783-800.
  • Addendum to: "On smooth maps with finitely many critical points" (with Dorin Andrica)
       J. London Math.Soc. 73(2006), 231-236.
  • On a universal mapping class group of genus zero (with Christophe Kapoudjian)
       Geom. Funct. Analysis. 14(2004), 965-1012.
  • On the geometric simple connectivity of open manifolds (with Siddhartha Gadgil)
       International Mathematics Research Notices, no.24, 2004, 1193-1248.
  • Polynomial invariants of links satisfying cubic skein relations (with Paolo Bellingeri)
       Asian J. Math. 8(2004), 475-510. Errata (pdf)
  • The ends of manifolds of bounded geometry, linear growth and finite filling area (with Renata Grimaldi)
       Geometriae Dedicata, 104(2004), 139-148.
  • Braids on surfaces and finite type invariants (with Paolo Bellingeri)
       C.R.Acad.Sci.Paris, 338(2004), 157-162.
  • A refinement of the simple connectivity at infinity of groups (with Daniele Otera)
       Archiv Math. (Basel) 81(2003), 360-368.
  • The graded cobordism group of codimension one immersions (with Rosa Gini)
       Geom. Funct. Analysis 12(2002), 1235-1264.
  • On open 3-manifolds proper homotopy equivalent to geometrically simply connected polyhedra (with Tom Thickstun)
       Topology Appl. 109 (2001), 191-200.
  • On proper homotopy type and the simple connectivity at infinity of open 3-manifolds
       Atti Sem. Mat. Fis. Modena (special issue in the memory of M. Pezzana), suppl. 49 (2001), 15-29.
  • Simple homotopy type and open 3-manifolds
       Revue Roum. Math. Pures Appl. 46 (2001), 617-637.
  • Topological geodesics and virtual rigidity (with Siddhartha Gadgil)
       Algebraic & Geometric Topology 1(2001), 369-380.
  • On some abelian invariants for 3-manifolds,
       Revue Roumaine Math.Pures Appl., 45(2000), 825-861.
  • On the spectrum obtained from packing balls on Riemann spaces (with Renata Grimaldi)
       Southeast Asian Math. Bull. 24 (2000), 543-552.
  • On the groupoid of transformations of rigid structures on surfaces (with Razvan Gelca)
       J.Math.Sci.Univ.Tokyo, 6(1999), 599-646.
  • On the TQFT representations of the mapping class groups,
       Pacific J. Math. 188(1999), 251-274.
  • Cubulations, immersions, mappability and a problem of Habegger,
       Ann. Sci. Ecole Norm.Sup. 32(1999), 681-700.
  • Discrete cocompact solvgroups and Poenaru's condition
       Archiv Math. (Basel) 72 (1999), 81-85.
  • Cubulations mod bubble moves
       Contemporary Math. 233, Proc. Conf. low dimensional topology, Madeira 1998 (H. Nencka Ed.), 29-43, 1999.
  • Vassiliev invariants I: Braids and rational homotopy theory
       Revue Roum. Math. Pures Appl. 42 (1997), 245-272.
  • TQFT and Whitehead's manifold
       J. Knot Theory Ramif. 6 (1997), 13-30.
  • TQFT for general Lie algebras and applications to open 3-manifolds
       J. Math.Sci. Univ. Tokyo 4 (1997), 121-181.
  • La topologie a l'infini des varietes a geometrie bornee et croissance lineaire (with Renata Grimaldi)
       J. Math. Pures Appl. 76 (1997), 851-858.
  • A note on the Bonnet-Myers theorem (with Valentin Boju)
       Zeit. Analysis Anw. 15 (1996), 275-278.
  • Theta functions, root systems and 3-manifold invariants
       J. Geom. Phys. 17 (1995), 261-283.
  • 2+1-D TQFT and 2-D RCFT
       Commun. Math. Phys. 171 (1995), 405-458.
  • On the quotients of cubic Hecke algebras
       Commun. Math. Phys. 173 (1995), 513-558.
  • Sur un quotient de l'algebre de Hecke cubique
       C.R.Acad. Sci Paris 320 (1995), 401-404.
  • Theories quantiques des champs en dimension 3 et theories conformes de champs en dimension 2
       C.R.Acad.Sci.Paris 318 (1994), 1021-1026.
  • The cohomology of weighted complete intersections
       Archiv Math. (Basel) 63 (1994), 497-499. see also long version preprint
  • Representations du groupe symplectique et varietes de dimension 3
       C.R.Acad.Sci Paris 316 (1993), 1067-1072.
  • Quantification des tores et varietes de dimension 3
       C.R.Acad.Sci. Paris 317 (1993), 1079-1084.
  • Hadwiger number for plane ovals (with Valentin Boju)
       Proc. Amer. Math. Soc. 319 (1993), 357-359.
  • Homology of P(w0,w1,w2)
       Ann.Sci. A.I.Cuza, Iasi, 37 (1991), 365-370.
  • Generalized area in Minkowskian spaces (with Valentin Boju)
       Beitrage Alg. Geom. 31 (1990), 33-38.
  • Generalized sum-free sets of integers
       Nieuw Arch. v. Wisk. 8 (1990), 49-55.
  • Courbure et changements conformes de metrique (with Valentin Boju)
       Serdica 15 (1989), 187-191.
  • A minimax problem in geometry (in romanian)
       Proc. National Conf. Geom. Top. (Tirgoviste 1986), 91-96, Bucharest, 1989.
  • Interative processes for Z/2Z (with Valentin Boju)
       Ann. Univ. Craiova 15 (1987), 33-38.
  • Products of bijections (with Dan Calistrate)
       manuscript, 1986.
  • Espaces a courbure Stanilov quasi-constante (with Valentin Boju)
       Serdica 9 (1983), 307-308.


  • Book


  • The math problems notebook (with Valentin Boju),
       Birkhauser Boston, 236 p., 2007.
  • Errata (pdf)


  • Online lectures (graduate courses, surveys)


  • Introduction to quantum invariants of knots,
       Graduate course 1998-1999, Institut Fourier, 59p. (ps) (pdf)
  • On knots having the same invariants up to a certain degree,
       notes for the Summer School " Invariants de noeuds et de varietes de dimension 3", Institut Fourier 1999, 5p., Jul 1999. (pdf)
  • Lectures on Fuchsian groups and their moduli,
       notes for the Summer School "Geometries a courbure negative ou nulle, groupes discrets et rigidites", Institut Fourier 2004, 34p., Aug 2004. (pdf)
  • Cohomological representations of automorphisms groups, 8p., 2017. (pdf)

  • Click on gz in order to retrieve the gzipped postscript file.