List of publications


Preprints
  • (with Christophe Kapoudjian) The Ptolemy-Thompson group T* is asynchronously combable, 47p.,math.GT/0602490, Mar 2009.
  • (with Francisco Lasheras and Dusan Repovs) Non-compact 3-manifolds proper homotopy equivalent to geometrically simply connected polyhedra and proper 3-realizability of groups, math.GT/0709.1576.
  • (with Toshitake Kohno) On images of quantum representations of mapping class groups, 21p., arXiv:0907.0568, Aug 2009.
  • Two questions on mapping class groups, 5p., arXiv:0910.1491, Oct 2009.
  • On power subgroups of mapping class groups, 16p., arXiv:0910.1493, Oct 2009.
  • Global classification of local isolated singularities in dimensions (4,3) and (8,5), 31p., arxiv:0911.3517.

  • Articles
  • (with Vlad Sergiescu) Central extensions of the Ptolemy-Thompson group and quantized Teichmuller theory, J.Topology, to appear, math.GT/0802.2996.
  • (with Daniele Otera) On the wgsc and qsf tameness conditions for finitely presented groups, 29p., Groups Geometry and Dynamics, to appear, math.GT/0610936.
  • (with Valentin Boju) Asymptotics of generalized Hadwiger numbers, 20p., Studia Sci. Math. Hungarica, to appear, arXiv:0809.2490.
  • (with Cornel Pintea and Ping Zhang) Examples of smooth maps with finitely many critical points in dimensions (4,3), (8,5) and (16,9), Proc. Amer. Math. Soc. 138(2010), 555-565.
  • (with Dorin Andrica and Elena Kudryavtseva) The minimal number of critical points of maps between closed manifolds, Russian Journal of Mathematical Physics, special issue for the Conference celebrating the 65-th birthday of Nicolae Teleman (Ancona and Porto Nuovo 2007, J.-P. Brasslet, A. Legrand, R. Longo, A. Mishchenko, Editors), 16(2009), 363-370.
  • (with Christophe Kapoudjian) An infinite genus mapping class group and stable cohomology, Commun. Math. Phys. 287(2009), 787-804.
  • (with Christophe Kapoudjian) The braided Ptolemy-Thompson group is finitely presented,Geom.Topol. 12(2008), 475-530.
  • Surface quadrangulations mod flips, Manuscripta Math. 125(2008), 285-307.
  • 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.
  • (with Maxime Wolff) Non-injective representations of a closed surface group into PSL(2,R), 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.
  • (with Dorin Andrica) Addendum to "On smooth maps with finitely many critical points", J. London Math.Soc. 73(2006), 231-236.
  • (with Dorin Andrica) On smooth maps with finitely many critical points, J. London Math.Soc. 69(2004), 783-800.
  • (with Christophe Kapoudjian) On a universal mapping class group in genus zero, G.A.F.A. 14(2004), 965-1012.
  • (with Siddhartha Gadgil) On the geometric simple connectivity of open manifolds, I.M.R.N., no.24, 2004, 1193-1248.
  • (with Renata Grimaldi) The ends of manifolds of bounded geometry, linear growth and finite filling area, Geometriae Dedicata 104(2004), 139-148.
  • (with Paolo Bellingeri) Polynomial invariants of links satisfying cubic skein relations, Asian J. Math. 8(2004), 475-510.
  • (with Paolo Bellingeri) Braids on surfaces and finite type invariants, C.R.Acad.Sci.Paris 338(2004), 157-162.
  • (with Daniele Otera) A refinement of the simple connectivity at infinity of groups, Archiv Math.(Basel) 81(2003), 360-368.
  • (with Rosa Gini) The graded cobordism group of codimension-one immersions, G.A.F.A. 12(2002), 1235-1264.
  • (with Siddhartha Gadgil) Topological geodesics and virtual rigidity, Algebraic & Geometric Topology, 1(2001), 369-380.
  • On proper homotopy type and the simple connectivity at infinity of open 3-manifolds, Suppl.Atti Sem. Mat. Fis. Univ. Modena 49(2001), 15-29.
  • (with Tom Thickstun) On open 3-manifolds proper homotopy equivalent to geometrically simply connected polyhedra, Topology Appl. 109(2001), 191-200.
  • Simple homotopy type and open 3-manifolds, Revue Roumaine Math. Pure Appl. 47(2001), 141-175.
  • On some abelian invariants for 3-manifolds, Revue Roumaine Math.Pures Appl. 45(2000), 825-861.
  • (with Renata Grimaldi) On the spectrum obtained from packing balls on Riemann spaces, Southeast Asian Math. Bulletin 24(2000), 543-552.
  • Discrete cocompact solvgroups and Poénaru's condition, Archiv Math.(Basel) 72(1999), 81-85.
  • On the TQFT representations of the mapping class groups, Pacific J. Math. 188(1999), 251-274.
  • (with Razvan Gelca) On the groupoid of transformations of rigid structures on surfaces, J.Math.Sci.Univ.Tokyo 6(1999), 599-646.
  • Cubulations, mappability, immersions and a problem of Habegger, Ann.Sci.Ecole Norm.Sup. 32(1999), 681-700.
  • Cubulations mod bubble moves, Contemporary Math. 233, Proc. Conf. Low Dimensional Topology, Funchal, Madeira, 1998 (H.Nencka Ed.), 29-43, 1999.
  • (with Renata Grimaldi) La topologie à l'infini des variétés à géométrie bornée et croissance linéaire, J.Math.Pures Appl. 76(1997), 851-858.
  • Vassiliev invariants I:Braids and rational homotopy theory, Revue Roumaine Math.Pures Appl. 42(1997), 245-272.
  • TQFT and Whitehead's manifold, J.Knot Theory Ramifications 6(1997), 13-30.
  • TQFT for general Lie algebras and applications to open 3-manifolds, J.Math.Sci.Univ.Tokyo 4(1997), 121-181.
  • (with Valentin Boju) A note on the Bonnet-Myers theorem, Zeit.Analysis Anw. (ZAA) 15(1996), 275-278.
  • Sur un quotient de l'algèbre de Hecke cubique, C.R.Acad.Sci.Paris 320(1995), 401-404.
  • On the quotients of cubic Hecke algebras, Comm.Math.Phys. 173(1995), 513-558.
  • Theta functions, root systems and 3-manifold invariants, J.Geom.Physics 17(1995), 261-283.
  • 2+1-D TQFT and 2-D RCFT, Comm.Math.Phys. 171 (1995), 405-458.
  • The cohomology of weighted complete intersections, Archiv Math.(Basel) 63(1994),497-499.
  • Théories quantiques topologiques des champs en dimension 3 et théories conformes des champs en dimension 2, C.R.Acad.Sci.Paris 318(1994), 1021-1026.
  • Représentations du groupe symplectique et variétés de dimension 3, C.R. Acad.Sci.Paris 316(1993),1067-1072.
  • Quantification des tores et variétés de dimension 3, C.R.Acad.Sci.Paris 317(1993), 1079-1084.
  • (with Valentin Boju) Hadwiger number for plane ovals, Proc.A.M.S. 319(1993), 357-359.
  • Homology of P(w0,w1,w2), An.Univ."A.I.Cuza" Iasi 37(1991), 365-370.
  • Generalized sum-free sets of integers, Nieuw Arch.v.Wiskunde 8(1990), 49-55.
  • (with Valentin Boju) Courbure et changements conformes de métrique, Serdica Bulg.Math.Publ. 15(1989), 187-191.
  • (with Valentin Boju) Iterative processes for Z/2Z, An.Univ.Craiova 15(1987), 33-38.
  • (with Valentin Boju) Espaces à courbure Stanilov quasi-constante, Serdica Bulg.Math.Publ. 9(1983), 307-308.
    Book
  • (with Valentin Boju) The math problems notebook, Birkhauser Boston, 236 p., Aug 2007.