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## Iozzi, Alessandra

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 Author ID: iozzi.alessandra Published as: Iozzi, Alessandra; Iozzi, A.
 Documents Indexed: 38 Publications since 1990, including 1 Book Reviewing Activity: 21 Reviews
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#### Co-Authors

 7 single-authored 20 Burger, Marc 8 Wienhard, Anna Katharina 3 Bucher, Michelle 2 ben Simon, Gabi 2 Corlette, Kevin 2 Hartnick, Tobias 2 Kuhn, Maria Gabriella 2 Pagliantini, Cristina 2 Poritz, Jonathan A. 2 Pozzetti, Maria Beatrice 2 Steger, Tim 2 Witte Morris, Dave 1 Chatterji, Indira 1 Fernós, Talia 1 Frigerio, Roberto 1 Hernández-Lamoneda, Luis 1 Labourie, François 1 Monod, Nicolas 1 Nevo, Amos 1 Parreau, Anne 1 Sisto, Alessandro
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#### Serials

 4 Geometriae Dedicata 3 Transactions of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Pure and Applied Mathematics Quarterly 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Ergodic Theory and Dynamical Systems 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Lie Theory 1 Transformation Groups 1 Annals of Mathematics. Second Series 1 Journal of Topology 1 Journal of Topology and Analysis 1 Annales Mathématiques du Québec
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#### Fields

 23 Topological groups, Lie groups (22-XX) 14 Manifolds and cell complexes (57-XX) 12 Differential geometry (53-XX) 11 Several complex variables and analytic spaces (32-XX) 8 Group theory and generalizations (20-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 Algebraic geometry (14-XX) 3 Functions of a complex variable (30-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 300 times in 173 Documents Cited by Year
Surface group representations with maximal Toledo invariant. Zbl 1208.32014
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2010
Maximal representations of surface groups: symplectic Anosov structures. Zbl 1157.53025
Burger, Marc; Iozzi, Alessandra; Labourie, François; Wienhard, Anna
2005
Surface group representations with maximal Toledo invariant. Zbl 1035.32013
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2003
Limit sets of discrete groups of isometries of exotic hyperbolic spaces. Zbl 0932.37011
Corlette, Kevin; Iozzi, Alessandra
1999
A dual interpretation of the Gromov-Thurston proof of Mostow rigidity and volume rigidity for representations of hyperbolic lattices. Zbl 1268.53056
Bucher, Michelle; Burger, Marc; Iozzi, Alessandra
2013
The median class and superrigidity of actions on CAT(0) cube complexes. Zbl 1387.20032
Chatterji, Indira; Fernós, Talia; Iozzi, Alessandra
2016
Isometric embeddings in bounded cohomology. Zbl 1328.55004
Bucher, M.; Burger, M.; Frigerio, R.; Iozzi, A.; Pagliantini, C.; Pozzetti, M. B.
2014
Boundary maps in bounded cohomology Appendix to: Burger and Monod, in this issue. Zbl 1006.22011
Burger, M.; Iozzi, A.
2002
Tight homomorphisms and Hermitian symmetric spaces. Zbl 1188.53050
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2009
Higher Teichmüller spaces: from SL(2, $$\mathbb R$$) to other Lie groups. Zbl 1312.30053
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2014
Bounded differential forms, generalized Milnor-Wood inequality and an application to deformation rigidity. Zbl 1134.53020
Burger, Marc; Iozzi, Alessandra
2007
Equivariant embeddings of trees into hyperbolic spaces. Zbl 1077.22005
Burger, Marc; Iozzi, Alessandra; Monod, Nicolas
2005
Bounded Kähler class rigidity of actions on Hermitian symmetric spaces. Zbl 1061.32016
Burger, Marc; Iozzi, Alessandra
2004
Hermitian symmetric spaces and Kähler rigidity. Zbl 1138.32012
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2007
Bounded cohomology, boundary maps, and rigidity of representations into $$\text{Homeo}_+(\text{S}^1)$$ and $$\text{SU}(1,n)$$. Zbl 1012.22023
Iozzi, Alessandra
2002
Bounded cohomology and totally real subspaces in complex hyperbolic geometry. Zbl 1318.32026
Burger, Marc; Iozzi, Alessandra
2012
On weakly maximal representations of surface groups. Zbl 1373.30047
Simon, Gabi Ben; Burger, Marc; Hartnick, Tobias; Iozzi, Alessandra; Wienhard, Anna
2017
Equivariant maps and purely atomic spectrum. Zbl 0829.22017
Iozzi, Alessandra
1994
Invariant geometric structures: A nonlinear extension of the Borel density theorem. Zbl 0765.22009
Iozzi, Alessandra
1992
A measurable Cartan theorem and applications to deformation rigidity in complex hyperbolic geometry. Zbl 1145.32013
Burger, Marc; Iozzi, Alessandra
2008
A useful formula from bounded cohomology. Zbl 1206.22006
Burger, Marc; Iozzi, Alessandra
2009
A new family of representations of virtually free groups. Zbl 1280.22012
Iozzi, Alessandra; Kuhn, M. Gabriella; Steger, Tim
2013
Cartan-decomposition subgroups of SU$$(2,n)$$. Zbl 1001.22014
Iozzi, Alessandra; Witte, Dave
2001
Rigidity in dynamics and geometry. Contributions from the programme Ergodic theory, geometric rigidity and number theory, Isaac Newton Institute for the Mathematical Sciences, Cambridge, UK, January 5–July 7, 2000. Zbl 0987.00036
Burger, Marc (ed.); Iozzi, Alessandra (ed.)
2002
The bounded Borel class and 3-manifold groups. Zbl 1417.22009
Bucher, Michelle; Burger, Marc; Iozzi, Alessandra
2018
A vanishing theorem for the tangential de Rham cohomology of a foliation with amenable fundamental groupoid. Zbl 1049.57017
Corlette, Kevin; Hernández Lamoneda, Luis; Iozzi, Alessandra
2004
On order-preserving representations. Zbl 1398.57043
Ben Simon, G.; Burger, M.; Hartnick, T.; Iozzi, A.; Wienhard, A.
2016
Algebraic hulls and smooth orbit equivalence. Zbl 0736.22004
Iozzi, Alessandra
1991
Algebraic hulls and the Følner property. Zbl 0859.22009
Iozzi, A.; Nevo, A.
1996
Stability properties of multiplicative representations of the free group. Zbl 1432.22009
Iozzi, Alessandra; Kuhn, M. Gabriella; Steger, Tim
2019
Tessellations of homogeneous spaces of classical groups of real rank two. Zbl 1060.22006
Iozzi, Alessandra; Witte Morris, Dave
2004
The real spectrum compactification of character varieties: characterizations and applications. (La compactification des variétés de caractères par le spectre réel: caractérisations et applications.) Zbl 07362165
Burger, Marc; Iozzi, Alessandra; Parreau, Anne; Pozzetti, Maria Beatrice
2021
The real spectrum compactification of character varieties: characterizations and applications. (La compactification des variétés de caractères par le spectre réel: caractérisations et applications.) Zbl 07362165
Burger, Marc; Iozzi, Alessandra; Parreau, Anne; Pozzetti, Maria Beatrice
2021
Stability properties of multiplicative representations of the free group. Zbl 1432.22009
Iozzi, Alessandra; Kuhn, M. Gabriella; Steger, Tim
2019
The bounded Borel class and 3-manifold groups. Zbl 1417.22009
Bucher, Michelle; Burger, Marc; Iozzi, Alessandra
2018
On weakly maximal representations of surface groups. Zbl 1373.30047
Simon, Gabi Ben; Burger, Marc; Hartnick, Tobias; Iozzi, Alessandra; Wienhard, Anna
2017
The median class and superrigidity of actions on CAT(0) cube complexes. Zbl 1387.20032
Chatterji, Indira; Fernós, Talia; Iozzi, Alessandra
2016
On order-preserving representations. Zbl 1398.57043
Ben Simon, G.; Burger, M.; Hartnick, T.; Iozzi, A.; Wienhard, A.
2016
Isometric embeddings in bounded cohomology. Zbl 1328.55004
Bucher, M.; Burger, M.; Frigerio, R.; Iozzi, A.; Pagliantini, C.; Pozzetti, M. B.
2014
Higher Teichmüller spaces: from SL(2, $$\mathbb R$$) to other Lie groups. Zbl 1312.30053
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2014
A dual interpretation of the Gromov-Thurston proof of Mostow rigidity and volume rigidity for representations of hyperbolic lattices. Zbl 1268.53056
Bucher, Michelle; Burger, Marc; Iozzi, Alessandra
2013
A new family of representations of virtually free groups. Zbl 1280.22012
Iozzi, Alessandra; Kuhn, M. Gabriella; Steger, Tim
2013
Bounded cohomology and totally real subspaces in complex hyperbolic geometry. Zbl 1318.32026
Burger, Marc; Iozzi, Alessandra
2012
Surface group representations with maximal Toledo invariant. Zbl 1208.32014
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2010
Tight homomorphisms and Hermitian symmetric spaces. Zbl 1188.53050
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2009
A useful formula from bounded cohomology. Zbl 1206.22006
Burger, Marc; Iozzi, Alessandra
2009
A measurable Cartan theorem and applications to deformation rigidity in complex hyperbolic geometry. Zbl 1145.32013
Burger, Marc; Iozzi, Alessandra
2008
Bounded differential forms, generalized Milnor-Wood inequality and an application to deformation rigidity. Zbl 1134.53020
Burger, Marc; Iozzi, Alessandra
2007
Hermitian symmetric spaces and Kähler rigidity. Zbl 1138.32012
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2007
Maximal representations of surface groups: symplectic Anosov structures. Zbl 1157.53025
Burger, Marc; Iozzi, Alessandra; Labourie, François; Wienhard, Anna
2005
Equivariant embeddings of trees into hyperbolic spaces. Zbl 1077.22005
Burger, Marc; Iozzi, Alessandra; Monod, Nicolas
2005
Bounded Kähler class rigidity of actions on Hermitian symmetric spaces. Zbl 1061.32016
Burger, Marc; Iozzi, Alessandra
2004
A vanishing theorem for the tangential de Rham cohomology of a foliation with amenable fundamental groupoid. Zbl 1049.57017
Corlette, Kevin; Hernández Lamoneda, Luis; Iozzi, Alessandra
2004
Tessellations of homogeneous spaces of classical groups of real rank two. Zbl 1060.22006
Iozzi, Alessandra; Witte Morris, Dave
2004
Surface group representations with maximal Toledo invariant. Zbl 1035.32013
Burger, Marc; Iozzi, Alessandra; Wienhard, Anna
2003
Boundary maps in bounded cohomology Appendix to: Burger and Monod, in this issue. Zbl 1006.22011
Burger, M.; Iozzi, A.
2002
Bounded cohomology, boundary maps, and rigidity of representations into $$\text{Homeo}_+(\text{S}^1)$$ and $$\text{SU}(1,n)$$. Zbl 1012.22023
Iozzi, Alessandra
2002
Rigidity in dynamics and geometry. Contributions from the programme Ergodic theory, geometric rigidity and number theory, Isaac Newton Institute for the Mathematical Sciences, Cambridge, UK, January 5–July 7, 2000. Zbl 0987.00036
Burger, Marc; Iozzi, Alessandra
2002
Cartan-decomposition subgroups of SU$$(2,n)$$. Zbl 1001.22014
Iozzi, Alessandra; Witte, Dave
2001
Limit sets of discrete groups of isometries of exotic hyperbolic spaces. Zbl 0932.37011
Corlette, Kevin; Iozzi, Alessandra
1999
Algebraic hulls and the Følner property. Zbl 0859.22009
Iozzi, A.; Nevo, A.
1996
Equivariant maps and purely atomic spectrum. Zbl 0829.22017
Iozzi, Alessandra
1994
Invariant geometric structures: A nonlinear extension of the Borel density theorem. Zbl 0765.22009
Iozzi, Alessandra
1992
Algebraic hulls and smooth orbit equivalence. Zbl 0736.22004
Iozzi, Alessandra
1991
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#### Cited by 179 Authors

 16 Iozzi, Alessandra 11 Burger, Marc 10 Wienhard, Anna Katharina 9 Kim, Inkang 8 Bucher, Michelle 8 García-Prada, Oscar 7 Collier, Brian 7 Pozzetti, Maria Beatrice 6 Kim, Sungwoon 5 Bradlow, Steven B. 5 Monod, Nicolas 5 Py, Pierre 4 Frigerio, Roberto 4 Genevois, Anthony 4 Gothen, Peter B. 4 Guichard, Olivier 4 Hartnick, Tobias 4 Labourie, François 4 Maubon, Julien 4 Pagliantini, Cristina 3 ben Simon, Gabi 3 Fernós, Talia 3 Koziarz, Vincent 3 Kuhn, Maria Gabriella 3 Pansu, Pierre 3 Peigné, Marc 3 Sambarino, Andrés 3 Simmons, David 3 Sisto, Alessandro 3 Steger, Tim 2 Alessandrini, Daniele 2 Arroyo, Marta Aparicio 2 Bocheński, Maciej Franciszek 2 Bridgeman, Martin J. 2 Burelle, Jean-Philippe 2 Calegari, Danny Matthew Cornelius 2 Canary, Richard D. 2 Caprace, Pierre-Emmanuel 2 Chatterji, Indira 2 Dal’bo, Françoise 2 Das, Tushar Kanti 2 de Cornulier, Yves 2 Delzant, Thomas 2 Fioravanti, Elia 2 Oliveira, André G. 2 Goldman, William M. 2 Hagen, Mark F. 2 Li, Qiongling 2 Löh, Clara 2 Nevo, Amos 2 Oh, Hee 2 Otal, Jean-Pierre 2 Parkkonen, Jouni 2 Parreau, Anne 2 Paulin, Frédéric 2 Pitsch, Wolfgang 2 Saliani, Sandra 2 Savini, Alessio 2 Shtern, Aleksandr Isaakovich 2 Strubel, Tobias 2 Tholozan, Nicolas 2 Tralle, Aleksy E. 2 Tshishiku, Bena 2 Urbański, Mariusz 2 Zhang, Tengren 1 Aguila, Carlos Ernesto Angulo 1 Andersson, Lars Åke 1 Bader, Uri 1 Baraglia, David 1 Barbot, Thierry 1 Benedetti, Riccardo 1 Beyrer, Jonas 1 Biquard, Olivier 1 Bishop, Christopher James 1 Björklund, Michael 1 Blanc, Jérémy 1 Blank, Matthias 1 Bonsante, Francesco 1 Bougerol, Philippe 1 Bowen, Lewis Phylip 1 Cantat, Serge 1 Chaput, Pierre-Emmanuel 1 Claassens, Floris 1 Connell, Chris 1 Creutz, Darren 1 Dai, Song 1 Danciger, Jeffrey 1 de la Llave, Rafael 1 Derbez, Pierre 1 Dimock, Jonathan 1 Falbel, Elisha 1 Fanoni, Federica 1 Fauser, Daniel 1 Fishman, Lior 1 Forester, Max 1 Frances, Charles 1 Fujiwara, Koji 1 Funar, Louis 1 Furman, Alex 1 Gelander, Tsachik ...and 79 more Authors
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#### Cited in 62 Serials

 18 Geometriae Dedicata 8 Geometric and Functional Analysis. GAFA 7 Israel Journal of Mathematics 7 Duke Mathematical Journal 7 Mathematische Annalen 7 Transactions of the American Mathematical Society 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 6 Geometry & Topology 5 Advances in Mathematics 5 Inventiones Mathematicae 5 Ergodic Theory and Dynamical Systems 5 Journal of Topology and Analysis 4 Journal of Mathematical Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Groups, Geometry, and Dynamics 3 Annales de l’Institut Fourier 3 Journal of the American Mathematical Society 3 Journal of the European Mathematical Society (JEMS) 3 Algebraic & Geometric Topology 3 Journal of Topology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Compositio Mathematica 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Journal of Group Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Forum Mathematicum 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 L’Enseignement Mathématique. 2e Série 1 Expositiones Mathematicae 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Lie Theory 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Transformation Groups 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Advances in Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Innovations in Incidence Geometry 1 Journal of Fixed Point Theory and Applications 1 São Paulo Journal of Mathematical Sciences 1 Annales Mathématiques du Québec 1 Journal de l’École Polytechnique – Mathématiques 1 Annales Henri Lebesgue
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#### Cited in 33 Fields

 67 Topological groups, Lie groups (22-XX) 63 Manifolds and cell complexes (57-XX) 62 Differential geometry (53-XX) 61 Group theory and generalizations (20-XX) 31 Several complex variables and analytic spaces (32-XX) 30 Algebraic geometry (14-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Functions of a complex variable (30-XX) 17 Global analysis, analysis on manifolds (58-XX) 9 Abstract harmonic analysis (43-XX) 9 Algebraic topology (55-XX) 8 Measure and integration (28-XX) 6 Number theory (11-XX) 5 Geometry (51-XX) 4 Combinatorics (05-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Convex and discrete geometry (52-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)