Selected publications

• Articles published or accepted for publications:
  
  
  • Graphs and convolution operators (with M. A. Picardello), in ``Topics in Modern Analysis'', (1983), 187-208, I.N.d.A.M., Roma
    
    
  • Spherical functions on symmetric graphs (with M. A. Picardello), Lecture Notes in Math. 992 (1983), 344-386, Springer Verlag
    
    
  • Harmonic analysis on the free product of two cyclic groups, Boll. Un. Mat. It. (6), 4-B (1985), 167-177
    
    
  • A non-linear extension of the Borel density theorem: applications to invariance of geometric structures and to smooth orbit equivalence, Bull. Am. Math. Soc. 23 (1990), 115-120 (ps, pdf)
    
    
  • Invariant geometric structures: A non-linear extension of the Borel density theorem, Am. Jour. Math., 114 (1992), 627-648 (ps, pdf)
    
    
  • Algebraic hulls and smooth orbit equivalence, Trans. Am. Math. Soc., 326 (1991), 371-384 (ps, pdf)
    
    
  • Equivariant maps and purely atomic spectrum, J. Funct. An.,124 (1994), 211-227 (ps, pdf)
    
    
  • Algebraic hulls and the Folner property (with A. Nevo), GAFA, 6-4 (1996), 666-688 (ps, pdf)
    
    
  • Limit sets of isometry groups of exotic hyperbolic spaces (with K. Corlette), Trans. Am. Math. Soc., 351-4 (1999), 1507-1530 (ps, pdf)
    
    
  • Boundary compactifications of SL(2,R) and SL(2,C) (with J. Poritz), Forum Math., 11-3 (1999), 385-397 (ps, pdf)
    
    
  • The moduli space of boundary compactifications of SL(2,R) (with J. Poritz), Geom. Dedicata, 76 (1999), 65-79 (ps, pdf)
    
    
  • Cartan decomposition subgroups of SU(2,n) (with D. Witte), J. Lie Theory, 11 (2001), 505-543 (ps, pdf)
    
    
  • Bounded cohomology, boundary maps, and representations into Homeo_+(S^1) and SU(n,1) , in "Rigidity in Dynamics and Geometry", Cambridge 2000, Springer-Verlag 2002, pp. 237-260 (ps or pdf version)
    
    
  • Boundary maps in bounded cohomology (with M. Burger) (ps or pdf version), appendix to Continuous bounded cohomology and applications to rigidity theory, by M. Burger and N. Monod, (ps or pdf version), GAFA, 12 (2002), 281-292. For the papers merged together, click here (ps, pdf).
    
    
  • Surface group representations with maximal Toledo invariant (with M. Burger and A. Wienhard), C. R. Math. Acad. Sci. Paris, Ser. I 336 (2003) 387--390 (ps or pdf version).
    
    
  • Tessellations of homogeneous spaces of classical groups of real rank two (with D. Witte), Geom. Dedicata, 103 (2004), 115--191 (ps or pdf version).
    
    
  • A vanishing theorem for the tangential de Rham cohomology of foliations with amenable fundamental groupoid (with K. Corlette and L. Hernàndez), Geom. Dedicata, 103 (2004), 205--223 (ps or pdf version).
    
    
  • Bounded Kähler class rigidity of actions on hermitian symmetric spaces (with M. Burger), Ann. Sci. Ecole Norm. Sup. (4) 37 (2004), no. 1, 77--103 (ps or pdf version).
    
    
  • On the cohomology of foliations with amenable groupoid, in "Random walks and geometry", ESI, Vienna, Austria, 2001, de Gruyter, 2004, pp. 445--457 (ps or pdf version).
    
    
  • Equivariant embeddings of trees into hyperbolic spaces (with M. Burger and N. Monod), I.M.R.N., 22 (2005), 1331-1369 (ps or pdf version).
    
    
  • Maximal representations of surface groups: symplectic Anosov structures (with M. Burger, F. Labourie and A. Wienhard), Quarterly Journal of Pure and Appl. Math., Special Volume in memory of Armand Borel, 1 (2005), no.3, 543--590 (ps or pdf version).
    
    
  • Hermitian symmetric spaces and Kähler geometry (with M. Burger and A. Wienhard), Transf. Groups, 12 (2007) no.1, 5--32 (ps or pdf version).
    
    
  • Bounded differential forms, generalized Milnor--Wood inequality and applications to rigidity theory (with M. Burger), to Geom. Dedicata 125 (2007), 1-23 (ps or pdf version).
    
    
  • A useful formula in bounded cohomology (with M. Burger), Géomé à courbure négative ou nulle, groupes discrets et rigidité,pp. 243-292, in "Séminaires et Congres", 18, Soc. Math. France, Paris, 2009 (ps or pdf version).
    
    
  • A measurable Cartan theorem and applications to deformation rigidity in complex hyperbolic geometry (with M. Burger), Pure Appl. Math. Q. 4 (2008), no. 1, Special Issue: In honor of Grigory Margulis, Part 2, 181-202(ps or pdf version) .
    
    
  • Surface group representations with maximal Toledo invariant,(with M. Burger and A. Wienhard), Annals of Math. (2) 172 (2010), no. 1, 517-566 (ps or pdf version).
    
    
  • Tight homomorphisms and Hermitian symmetric spaces, (with M. Burger and A. Wienhard), Geom. Funct. Anal., 19 (2009), no. 3, 678--721 (ps or pdf version).
    
    
  • On relative Property (T), in Geometry. Rigidity and Group Actions, Chicago Lecture Notes in Math., University of Chicago Press, Chicago, IL, 2011 pp. 375-395 (ps or pdf
    
    
  • Bounded cohomology and totally real subspaces in complex hyperbolic geometry (with M. Burger), Erg. Th. Dyn. Sys., volume 32, issue 02, pp. 467-478
  
  
  • Higher Teichmüller spaces: From SL(2,R) to other Lie groups, to appear in the Handbook of Teichmüller theory, volume 4, 2012 (with M. Burger and A. Wienhard)
    
  
  
• Preprints:
  
  
  • Stability properties of multiplicative representations of a free group, preprint (with M.G. Kuhn and T. Steger)
    
    
  • A new class of representations of virtually free groups, preprint, (with M.G. Kuhn and T. Steger), (arXiv version)
    
    
  • Bounded cohomology theory and applications to deformation rigidity in hyperbolic geometry (with M. Burger), preprint 2005, 56 pages (ps or pdf version)
    
    
  • Bounded cohomology and representation varieties of lattices in PSU(1,n) (with M. Burger), preprint announcement 2000, 9 pages (ps or pdf version)
    
    
• Selected research articles in preparation:
  
  
  • Rigidity of actions on CAT(0) cube complexes, preprint in preliminary version (with I. Chatterji and T. Fernos)
    
    
  • A Dual Interpretation of the Gromov-Thurston Proof of Mostow Rigidity an d Volume Rigidity for Representations of Hyperbolic Lattices, preprint in preliminary version (with M. Bucher-Karlsson and M. Burger)
    
    
  • Weakly maximal representations of surface groups, preprint in preliminary version (with G. Ben Simon, M. Burger, T. Hartnick and A. Wienhard)
    
    
  • Maximal representations and Anosov structures, preprint in preliminary version (with M. Burger and A. Wienhard)
    
    
• Books:
  
  
  • Rigidity in dynamics and geometry, Proceedings of the Programme at the Newton Institute, Cambridge, UK, March 2000, editors M. Burger and A. Iozzi
    
    
• Books in preparation:
  
  
  • Lectures on bounded cohomology, based on the notes of a graduate course at ETH, 2002/03 and 2003/04