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 (pdf)
    
    
  • Invariant geometric structures: A non-linear extension of the Borel density theorem, Amer. Jour. Math., 114 (1992), 627-648 (pdf)
    
    
  • Algebraic hulls and smooth orbit equivalence, Trans. Am. Math. Soc., 326 (1991), 371-384 (pdf)
    
    
  • Equivariant maps and purely atomic spectrum, J. Funct. An.,124 (1994), 211-227 (pdf)
    
    
  • Algebraic hulls and the Folner property (with A. Nevo), GAFA, 6-4 (1996), 666-688 (pdf)
    
    
  • Limit sets of isometry groups of exotic hyperbolic spaces (with K. Corlette), Trans. Am. Math. Soc., 351-4 (1999), 1507-1530 (pdf)
    
    
  • Boundary compactifications of SL(2,R) and SL(2,C) (with J. Poritz), Forum Math., 11-3 (1999), 385-397 (pdf)
    
    
  • The moduli space of boundary compactifications of SL(2,R) (with J. Poritz), Geom. Dedicata, 76 (1999), 65-79 (pdf)
    
    
  • Cartan decomposition subgroups of SU(2,n) (with D. Witte), J. Lie Theory, 11 (2001), 505-543 (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 (pdf)
    
    
  • Boundary maps in bounded cohomology (with M. Burger) (pdf), appendix to Continuous bounded cohomology and applications to rigidity theory, by M. Burger and N. Monod, (pdf version), GAFA, 12 (2002), 281-292. For the papers merged together, click here (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 (pdf)
    
    
  • Tessellations of homogeneous spaces of classical groups of real rank two (with D. Witte), Geom. Dedicata, 103 (2004), 115--191 (pdf)
    
    
  • 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 (pdf)
    
    
  • 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 (pdf)
    
    
  • On the cohomology of foliations with amenable groupoid, in "Random walks and geometry", ESI, Vienna, Austria, 2001, de Gruyter, 2004, pp. 445--457 (pdf)
    
    
  • Equivariant embeddings of trees into hyperbolic spaces (with M. Burger and N. Monod), I.M.R.N., 22 (2005), 1331--1369 (pdf), with some insecticide by N. Monod and P. Py to kill a little bug in the paper
    
    
  • 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 (pdf)
    
    
  • Hermitian symmetric spaces and Kähler rigidity (with M. Burger and A.Wienhard), Transf. Groups, 12 (2007) no.1, 5--32 (pdf)
    
    
  • A useful formula in bounded cohomology (with M. Burger), Géométrie à courbure négative ou nulle, groupes discrets et rigidité, pp. 243--292, in "Séminaires et Congres", 18, Soc. Math. France, Paris, 2009 (pdf)
    
    
  • Bounded differential forms, generalized Milnor--Wood inequality and applications to rigidity theory (with M. Burger), Geom. Dedicata 125 (2007), 1--23 (pdf)
    
    
  • Bounds for cohomology classes (with M. Burger, N. Monod and A. Wienhard), in Guido's book of conjectures, Enseign. Math. Monographie no. 40 (2008) 56--59 (pdf)
    
    
  • 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 (pdf)
    
    
  • Surface group representations with maximal Toledo invariant (with M. Burger and A. Wienhard), Annals of Math. (2) 172 (2010), no. 1, 517--566 (pdf)
    
    
  • Tight homomorphisms and Hermitian symmetric spaces (with M. Burger and A. Wienhard), Geom. Funct. Anal., 19 (2009), no. 3, 678--721 (pdf)
    
    
  • 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 (pdf)
    
    
  • Bounded cohomology and totally real subspaces in complex hyperbolic geometry (with M. Burger), Erg. Th. and Dyn. Sys., 32 (2012), 467--478 (pdf)
    
    
  • Higher Teichmüller spaces: from SL(2,R) to other Lie groups (with M. Burger and A. Wienhard), Handbook of Teichmüller theory, ed. A. Papadopoulos, vol.  IV, 2012, pp. 539--618 (pdf)
    
    
  • A new family of representations of virtually free groups (with M.G. Kuhn and T. Steger), Math. Z. 274 (2013) no. 1-2, 167--184 (pdf)
    
    
  • A dual interpretation of the Gromov-Thurston proof of Mostow rigidity and volume rigidity for representations of hyperbolic lattices (with M. Bucher and M. Burger), "Trends in Harmonic Analysis, M.A. Picardello (ed.), Springer INdAM Series 3, 2013, pp. 47--76 (pdf)
    
    
  • Isometric embeddings in bounded cohomology (with M. Bucher, M. Burger, R. Frigerio, C. Pagliantini and M.B. Pozzetti), J. Topology and Analysis, 6(1), 2014, 1--25 (pdf)
    
    
  • The median class and superrigidity of actions on CAT(0) cube complexes (with I. Chatterji and T. Fernós, with an appendix by P.E. Caprace), J. Topology, 9 2016, 349--400,  doi: 10.1112/jtopol/jtu025 (pdf)
    
    
  • On weakly maximal representations of surface groups (with G. Ben Simon, M. Burger, T. Hartnick, A. Wienhard), J. Diff. Geom.,  105(3), 2017, 375--404, arXiv:1305.2620, (pdf)
    
    
  • On order preserving and causal representations (with G. Ben Simon, M. Burger, T. Hartnick, A. Wienhard), J. London Math. Soc., 92(2) 2016, 525--544,  doi: 10.1112/jlms/jdw048 (pdf)
    
    
  • Stability properties of multiplicative representations of a free group (with M. G. Kuhn and T. Steger), Trans. Amer. Math. Soc., 371 (2019), no. 12, 8699--8731, (pdf)                                                                                                                     
                                                                                                                                             
    
  • The bounded Borel class and complex representations of 3-manifold groups (with M. Bucher and M. Burger), Duke Math. J., 167(17) 2018, 3129--3169 (pdf)
    
    
  • Characterising actions on trees yielding non-trivial quasimorphisms (with C. Pagliantini and A. Sisto), Ann. math. Quebec,
    https://doi.org/10.1007/s40316-020-00137-3
    
    
  • Integrality of volumes of representations (with M. Bucher and M. Burger),  Math. Ann., https://doi.org/10.1007/s00208-020-02047-9

  
  
• Preprints submitted:
  
  
  • Currents, systoles and compactifications of character varieties (with M. Burger, A. Parreau and M.B. Pozzetti), arXiv:1902.07680, 35 pages (pdf)
    
    
  • The real spectrum compactification of character varieties: characterizations and applications (with M. Burger, A. Parreau and M.B. Pozzetti), arXiv:2005.00120, research announcement, 39 pages (pdf)
    
    
    
• Research articles in preparation:
  
  
  • The real spectrum compactification of character varieties, (with M. Burger, A. Parreau and M.B. Pozzetti) preprint in preliminary version
    
    
  • Positive crossratios, barycenters, trees and applications to maximal representations, (with M. Burger, A. Parreau and M.B. Pozzetti) preprint in preliminary version
    
    
  • The real spectrum compactification of the variety of maximal representations, (with M. Burger, A. Parreau and M.B. Pozzetti)
    
    
  • Degeneration of maximal representations in SL(2)xSL(2), (with M. Burger, A. Parreau and M.B. Pozzetti)
    
    
  • Visibility in CAT(0) cube complexes, (with D. Guralnik and M. Hagen)
    
    
  • $\ell^2$-stability and homomorphisms into the mapping class group, (with M. Burger), preprint in preliminary version
    
    
  • Quantitative relative property (T), preprint in preliminary version
    
    
  • Disintegration of $C^*$-free groups, (with G. Arzhantseva), preprint in preliminary version
    
    
  • Maximal representations and Anosov structures, (with M. Burger and A. Wienhard), preprint in preliminary version
    
    
  • Rotation numbers and geometry of commutators, preprint in preliminary version
    
    
  
  
• Other available preprints:
  
  
  • A structure theorem for geodesic currents and length spectrum compactifications (with M. Burger, A. Parreau and M. B. Pozzetti), arXiv:1710.07060 (pdf)
    
    
  • Integrality of volumes of representations, (with M. Bucher and M. Burger), arXiv:1407.0562, 31 pages (old version of a paper submitted with the same title, but which has been completely rewritten)
    
    
  • Isometric properties of relative bounded cohomology (with M. Bucher, M. Burger, C. Pagliantini and M.B. Pozzetti), arXiv:1205.1022, (pdf)
    
    
  • Weakly maximal representations of surface groups (with G. Ben Simon, M. Burger, T. Hartnick and A. Wienhard), preprint announcement, arXiv: 1112.0449, (pdf)
    
    
  • Bounded cohomology and representation varieties of lattices in PSU(1,n), (with M. Burger), preprint announcement, 2000, 9 pages (pdf)
    
    
  • Bounded cohomology and deformation rigidity in complex hyperbolic geometry, (with M. Burger), preprint, 56 pages (pdf)
    
    

• Books:
  
  
  • Rigidity in Dynamics and Geometry,  Proceedings of the Programme at the Newton Institute, Cambridge, UK, March 2000, editors M. Burger and A. Iozzi, Springer Verlag, 2002
    
    

• Books in preparation:
  
  
  • From Topological Groups to Lie Groups,  (with R. J. Zimmer), with exercises
    
    
  • A Course on Symmetric Spaces,  (with G. Link), with exercises
    
    
  • Multilinear Algebra for Engineers and Applications, (with A. Cannas da Silva and Ö. Imamoglu), with exercises
    
    
  • Lectures on bounded cohomology, based on the notes of a graduate course at ETH, 2002/03 and 2003/04
    
    
    
• Course notes:
  
  
  • Analysis I für Elektrotechniker, 178 pages, 92 pictures, auf Deutsch (pdf)
    
    
  • Analysis II für Elektrotechniker, 199 pages, 143 pictures, auf Deutsch (pdf)
    
    
  • Komplexe Analysis für Elektrotechniker, (with M. Akveld and P. Jossen), auf Deutsch, 180 pages, 119 pictures  (pdf)
    
    
  • Partial Differential Equations for Mechanical Engineers and Material Scientists (Analysis III, D-MAVT and D-MATL), 86 pages, 29 pictures (pdf)
    
    
    
• Other publications:
  
  
• goMATH in Zurich: a two week celebration of maths and women, EWM Newsletter, 32 (2020/1)