[EGG] [Nicolas Monod] [Invited Addresses] [Awards] [Q&A]

Publications



Please use published pdf links when available. This will guarantee exact references.
See also some questions and a few answers.
 Nicolas Monod

  1. Lie groups in the symmetric group: reducing Ulam's problem to the simple case, (with A. Conversano)
    J. of Algebra, 640 (2024), 106–116 | published version | preprint pdf | abstract.

  2. A family of exotic group C*-algebras, (with M. Gerasimova)
    preprint | preprint pdf | abstract.

  3. Some comments on piecewise-projective groups of the line,
    preprint | preprint pdf | abstract.

  4. Asymptotic Cohomology and Uniform Stability for Lattices in Semisimple Groups, (with L. Glebsky, A. Lubotzky and B. Rangarajan)
    preprint | preprint pdf | abstract.

  5. Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups, (with S. Nariman)
    Inventiones Math., 232 (2023), 1439–1475 | published version | preprint pdf | abstract.

  6. Lamplighters and the bounded cohomology of Thompson's group,
    Geom. Funct. Anal. (GAFA) 32 (2022), 662–675 | published version | preprint pdf | abstract.

  7. Appendix on a question of Kazhdan and Yom Din,
    Appendix to Eli Glasner's article, Isr. J. Math. 251 (2022), 467–493 | published version | preprint pdf | abstract.

  8. Between free and direct products of groups, (with M. Gheysens)
    In Geometric methods in group theory: papers dedicated to Ruth Charney, to appear | preprint pdf | abstract.

  9. A type I conjecture and boundary representations of hyperbolic groups, (with P.-E. Caprace and M. Kalantar)
    Proc. London Math. Soc., 127 No. 2 (2023), 447–486 | published version | preprint pdf | abstract.

  10. Lie groups as permutation groups: Ulam's problem in the nilpotent case,
    J. of Group Theory, 25 No. 5 (2022), 851–865 | published version | preprint pdf | abstract.

  11. The cohomology of semi-simple Lie groups, viewed from infinity,
    Trans. AMS B, 9 (2022) 144–159 | published version | preprint pdf | abstract.

  12. Gelfand pairs admit an Iwasawa decomposition,
    Math. Annalen, 378 (2020), 605–611 | published version | preprint pdf | abstract.

  13. Furstenberg boundaries for pairs of groups,
    Erg. Th. Dyn. Sys. 41 No. 5 (2021), 1514–1529 | published version | preprint pdf | abstract.

  14. Notes on functions of hyperbolic type,
    Bull. Belg. Math. Soc. Simon Stevin 27 No. 2 (2020), 167–202 | published version | preprint pdf | abstract.

  15. Self-representations of the Möbius group, (with P. Py)
    Annales Henri Lebesgue 2 (2019), 259–280 | published version | preprint pdf | abstract.

  16. Asymptotics of Cheeger constants and unitarisability of groups, (with M. Gerasimova, D. Gruber and A. Thom)
    J. Funct. Anal., 278 No. 11 (2020), 108457 | published version | preprint pdf | abstract.

  17. Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms, (with B. Duchesne and P. Wesolek)
    Fund. Math. 247 (2019), 229–274 | published version | preprint pdf | abstract.

  18. New Directions in Locally Compact Groups, a book edited with P.-E. Caprace
    London Mathematical Society Lecture Note Series 447, Cambridge University Press (2018) | link to the book | abstract.

  19. Future directions in locally compact groups, (with P.-E. Caprace)
    In: London Mathematical Society Lecture Note Series 447, Cambridge University Press (2018), 343–355 | published version | preprint pdf | abstract.

  20. The cup product of Brooks quasimorphisms, (with M. Bucher)
    Forum Math. 30 No. 5 (2018), 1157–1162 | published pdf | preprint pdf | abstract.

  21. Fixed points in convex cones,
    Trans. AMS B 4 (2017), 68–93 | published pdf | preprint pdf | abstract.

  22. Structural properties of dendrite groups, (with B. Duchesne)
    Trans. AMS 371 (2019) No. 3, 1925–1949 | published pdf | preprint pdf | abstract.

  23. The bounded cohomology of SL2 over local fields and S-integers, (with M. Bucher)
    IMRN (2017) | published pdf | preprint pdf | abstract.

  24. Group actions on dendrites and curves, (with B. Duchesne)
    An. Inst. Fourier 68 (2018) No. 5, 2277–2309 | published pdf | preprint pdf | abstract.

  25. Variations on a theme by Higman,
    Exp. Math. 35 No. 2 (2017), 226–235 | published pdf | preprint pdf | abstract.

  26. Extreme points in non-positive curvature,
    Studia Math. 234 No. 3 (2016), 265–270 | published pdf | preprint pdf | abstract.

  27. Fixed points for bounded orbits in Hilbert spaces, (with M. Gheysens)
    Annales de l'ENS 50 No. 1 (2017), 131–156 | published pdf | preprint pdf | abstract.

  28. An indiscrete Bieberbach theorem: from amenable CAT(0) groups to Tits buildings, (with P.-E. Caprace)
    J. École Polytechnique 2 (2015), 333–383 | published pdf | preprint pdf | abstract.

  29. Extensive amenability and an application to interval exchanges, (with K. Juschenko, N. Matte Bon and M. de la Salle)
    Erg. Th. Dyn. Sys. 38 No. 1 (2018), 195–219 | published pdf | preprint pdf | abstract.

  30. Equivariant measurable liftings,
    Fund. Math. 230 No. 2 (2015), 149–165 | published pdf | preprint pdf | abstract.

  31. Relative amenability, (with P.-E. Caprace)
    Groups Geom. Dyn. 8 No. 3 (2014), 747–774 | published pdf | preprint pdf | abstract.

  32. Groups of piecewise projective homeomorphisms,
    PNAS 110 No. 12 (2013), 4524–4527 | published pdf | preprint pdf | abstract.

  33. Non-supramenable groups acting on locally compact spaces, (with J. Kellerhals and M. Rørdam)
    Doc. Math. 18 (2013), 1597–1626 | published pdf | preprint pdf | abstract.

  34. An obstruction to ℓp-dimension, (with H.D. Petersen)
    Annales de l'Institut Fourier 64 No. 4 (2014), 1363–1371 | published pdf | preprint pdf | abstract.

  35. Cantor systems, piecewise translations and simple amenable groups, (with K. Juschenko)
    Annals of Mathematics 178 No. 2 (2013), 775–787 | published pdf | preprint pdf | abstract.

  36. Normal generation of locally compact groups, (with A. Eisenmann)
    Bull. London Math. Soc. 45 No. 4 (2013), 734–738 | published pdf | preprint pdf | abstract.

  37. Fixed points and amenability in non-positive curvature, (with P.-E. Caprace)
    Math. Annalen, 356 No. 4 (2013), 1303–1337 | published pdf | preprint pdf | abstract.

  38. Amenable hyperbolic groups, (with P.-E. Caprace, Y. de Cornulier and R. Tessera)
    J. Eur. Math. Soc., 17 No. 11 (2015), 2903–2947 | published pdf | preprint pdf | abstract.

  39. An exotic deformation of the hyperbolic space (with P. Py)
    American Journal of Mathematics 136 No. 5 (2014), 1249–1299 | published pdf | preprint pdf | abstract | addendum.

  40. On the topological full group of a minimal Cantor Z2-system (with G. Elek)
    Proc. AMS 141 No. 10 (2013) 3549–3552 | published pdf | preprint pdf | abstract.

  41. Is an irng singly generated as an ideal? (with N. Ozawa and A. Thom)
    Int. J. Algebra Comp. 22 No. 4 (2012) | published pdf | preprint pdf | abstract.

  42. A fixed point theorem for L1 spaces, (with U. Bader and T. Gelander)
    Inventiones Math. 189 No. 1 (2012), 143–148 | published pdf | preprint pdf | abstract.

  43. The norm of the Euler class, (with M. Bucher)
    Math. Annalen 353 No. 2 (2012), 523–544 | published pdf | preprint pdf | abstract.

  44. A note on topological amenability,
    IMRN 2011:17 (2011), 3872–3884 | published pdf | preprint pdf | abstract.

  45. The Dixmier problem, lamplighters and Burnside groups, (with N. Ozawa)
    J. of Functional Analysis 258 No. 1 (2010), 255–259 | published pdf | preprint pdf | abstract.

  46. On the bounded cohomology of semi-simple groups, S-arithmetic groups and products,
    Crelle's Journal 640 (2010), 167–202 | published pdf | preprint pdf | abstract.

  47. A lattice in more than two Kac–Moody groups is arithmetic, (with P.-E. Caprace)
    Israel Journal of Mathematics 190 No. 1 (2012), 413–444 | published pdf | preprint pdf | abstract.

  48. Non-unitarisable representations and random forests, (with I. Epstein)
    IMRN 2009:22 (2009), 4336–4353 | published pdf | preprint pdf | abstract.

  49. Decomposing locally compact groups into simple pieces, (with P.-E. Caprace)
    Math. Proc. Cambridge Philos. Soc. 150 (2011), 97–128 | published pdf | preprint pdf | abstract | erratum.

  50. Isometry groups of non-positively curved spaces: discrete subgroups, (with P.-E. Caprace)
    Journal of Topology 2 No. 4 (2009), 701–746 | published pdf | preprint pdf | abstract | erratum & addenda.

  51. Isometry groups of non-positively curved spaces: structure theory, (with P.-E. Caprace)
    Journal of Topology 2 No. 4 (2009), 661–700 | published pdf | preprint pdf | abstract.

  52. Product groups acting on manifolds, (with A. Furman)
    Duke Math. Journal 148 No. 1 (2009), 1–39 | published pdf | preprint pdf | abstract.

  53. Some properties of non-positively curved lattices, (with P.-E. Caprace)
    C. R. Acad. Sci. Paris, Ser. I 346 No. 15–16 (2008), 857–862 | published pdf | preprint pdf | abstract.

  54. Strong law of large numbers with concave moments, (with A. Karlsson)
    not for publication (2008), 2 pages | pdf | abstract.

  55. Bounds for cohomology classes, (with M. Burger, A. Iozzi and A. Wienhard)
    In: Guido's Book of conjectures, L'Enseignement Mathématique 54 (2008), 52–54 | pdf.

  56. Vanishing up to the rank in bounded cohomology,
    Math. Research Letters 14 No. 4 (2007), 681–687 | published pdf | preprint pdf | abstract.

  57. Property (T) and rigidity for actions on Banach spaces, (with U. Bader, A. Furman and T. Gelander)
    Acta Mathematica 198 No. 1 (2007), 57–105 | published pdf | preprint pdf | abstract.

  58. Orbit equivalence rigidity and bounded cohomology, (with Y. Shalom)
    Annals of Mathematics 164 No. 3 (2006), 825–878 | published pdf | preprint pdf | abstract.

  59. Superrigidity for irreducible lattices and geometric splitting,
    Journal Amer. Math. Soc. 19 No. 4 (2006), 781–814 | published pdf | preprint pdf | abstract.

  60. An invitation to bounded cohomology
    Proceedings of the ICM 2006, Volume II, 1183–1211 | published pdf | preprint pdf | abstract.

  61. Amenable actions, free products and a fixed point property, (with Y. Glasner)
    Bull. London Math. Soc. 39 No. 1 (2007), 138–150 | published pdf | preprint pdf | abstract.

  62. Boundedly generated groups with pseudocharacter(s), (with B. Rémy)
    [appendix to Manning's Quasi-actions on trees and Property (QFA)]
    J. London Math. Soc. 73 No. 1 (2006), 104–108 | published pdf | preprint pdf | abstract.

  63. Arithmeticity vs. non-linearity for irreducible lattices,
    Geom. Ded. 112 No. 1 (2005), 225–237 | published pdf | preprint pdf | abstract.

  64. Note on Superrigidity for irreducible lattices and geometric splitting,
    C. R. Acad. Sci. Paris, Ser. I 340 No. 3 (2005), 185–190 | published pdf | preprint pdf.

  65. Equivariant embeddings of trees into hyperbolic spaces, (with M. Burger and A. Iozzi)
    IMRN 2005:22 (2005), 1331–1369 | published pdf | preprint pdf | abstract | addendum.

  66. Ideal bicombings for hyperbolic groups and applications, (with I. Mineyev and Y. Shalom)
    Topology 43 No. 6 (2004), 1319–1344 | published pdf | preprint pdf | abstract.

  67. Cocycle superrigidity and bounded cohomology for negatively curved spaces, (with Y. Shalom)
    J. Differential Geometry 67 No. 3 (2004), 395–455 | published pdf | preprint pdf | abstract.

  68. Stabilization for SLn in bounded cohomology,
    [proceedings of the first JAMS Symposium, Matsushima 2002]
    Contemp. Math. 347 (2004), 191–202 | pdf | abstract.

  69. Negative curvature from a cohomological viewpoint, (with Y. Shalom)
    C. R. Acad. Sci. Paris, Ser. I 337 No. 10 (2003), 635–638 | published pdf | preprint pdf | abstract.

  70. On co-amenability for groups and von Neumann algebras, (with S. Popa)
    C. R. Acad. Sci. Canada 25 No. 3 (2003), 82–87 | pdf | abstract.

  71. On and around the bounded cohomology of SL2, (with M. Burger)
    in: Rigidity in Dynamics and Geometry, 19–37, Springer 2002 | pdf | ps | abstract.

  72. Continuous bounded cohomology and applications to rigidity theory, (with M. Burger)
    Geom. Funct. Anal. (GAFA) 12 No. 2 (2002), 219–280 | published pdf | preprint pdf | abstract.

  73. Continuous bounded cohomology of locally compact groups,
    LNM vol. 1758 (Springer 2001) | published pdf | abstract.
    (Awarded the ETH Medal)

  74. Bounded cohomology of lattices in higher rank Lie groups, (with M. Burger)
    J. Eur. Math. Soc. 1 No. 2 (1999), 199–235 | published pdf | preprint pdf | abstract | erratum.

  75. Éléments de géométrie grossière,
    M. Sc. memoir of the University of Lausanne.



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Co-authors: U. Bader | M. Bucher | M. Burger | P.-E. Caprace | A. Conversano | Y. de Cornulier | M. de la Salle | B. Duchesne | A. Eisenmann | G. Elek | I. Epstein | A. Furman | T. Gelander | M. Gerasimova | M. Gheysens | E. Glasner | Y. Glasner | L. Glebsky  | D. Gruber | A. Iozzi | K. Juschenko | M. Kalantar | A. Karlsson | J. Kellerhals | A. Lubotzky | N. Matte Bon | I. Mineyev | S. Nariman | N. Ozawa | H. Petersen | S. Popa | P. Py | B. Rangarajan | B. Rémy | M. Rørdam | Y. Shalom | R. Tessera | A. Thom | P. Wesolek | A. Wienhard
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