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Dr Alessandro Ottazzi

Dr Alessandro Ottazzi

Senior Lecturer
Science
School of Mathematics & Statistics

I was born in Italy and got my PhD at the University of Genoa. I have been a postdoc at the University of Bern (Switzerland), Milano Bicocca and Trento (Italy). I visited several institutions around the globe for periods of one or two months. I enjoy travelling, red wine, and mismatched shoes.  Wearable wings would be nice too.

Phone
9385 9915
Location
School of Mathematics and Statistics UNSW AUSTRALIA SYDNEY NSW 2052 The Red Centre Room 6103
  • Journal articles | 2024
    Cowling MG; Kivioja V; Le Donne E; Nicolussi Golo S; Ottazzi A, 2024, 'From homogeneous metric spaces to Lie groups', Comptes Rendus. Mathématique, 362, pp. 943 - 1014,
    Journal articles | 2024
    Golo SN; Ottazzi A, 2024, 'Left-invariant distributions diffeomorphic to flat distributions', Geometriae Dedicata, 218,
    Journal articles | 2024
    Ottazzi A; Santagati F, 2024, 'Carleson Measures on Locally Finite Trees', Journal of Geometric Analysis, 34,
    Journal articles | 2023
    Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2023, 'CR embeddings of CR manifolds', Annali di Matematica Pura ed Applicata, 202, pp. 287 - 291,
    Journal articles | 2020
    Cowling MG; Li J; Ottazzi A; Wu Q, 2020, 'CONFORMAL AND CR MAPPINGS ON CARNOT GROUPS', Proceedings of the American Mathematical Society, Series B, 7, pp. 67 - 81,
    Journal articles | 2019
    Ottazzi A; Vittone D, 2019, 'On the codimension of the abnormal set in step two Carnot groups', ESAIM - Control, Optimisation and Calculus of Variations, 25,
    Journal articles | 2018
    Nicolussi S; Ottazzi A, 2018, 'Polarised Lie groups contactomorphic to stratified groups', Polarised Lie groups contactomorphic to stratified groups,
    Journal articles | 2017
    Capogna L; Citti G; Donne EL; Ottazzi A, 2017, 'Conformality and $Q$-harmonicity in sub-Riemannian manifolds', ArXiv,
    Journal articles | 2017
    Cowling MG; Ottazzi A, 2017, 'Structure of stratified groups I. Product decompositions', Journal of Lie Theory, 27, pp. 177 - 183
    Journal articles | 2017
    Martini A; Ottazzi A; Vallarino M, 2017, 'A multiplier theorem for sub-Laplacians with drift on Lie groups', ArXiv,
    Journal articles | 2017
    Ottazzi A; Schmalz G, 2017, 'Normal forms of para-CR hypersurfaces', Differential Geometry and its Application, 52, pp. 78 - 93,
    Journal articles | 2017
    Ottazzi A; Warhurst B, 2017, 'A liouville type theorem for carnot groups: A case study', Springer INdAM Series, 3, pp. 371 - 380,
    Journal articles | 2016
    Le Donne E; Montgomery R; Ottazzi A; Pansu P; Vittone D, 2016, 'Sard property for the endpoint map on some Carnot groups', Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 33, pp. 1639 - 1666,
    Journal articles | 2016
    Le Donne E; Ottazzi A, 2016, 'Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds', Journal of Geometric Analysis, 26, pp. 330 - 345,
    Journal articles | 2016
    Ottazzi A; Schmalz G, 2016, 'Singular multicontact structures', Journal of Mathematical Analysis and Applications, 443, pp. 1220 - 1231,
    Journal articles | 2015
    Cowling MG; Ottazzi A, 2015, 'Conformal maps of carnot groups', Annales Academiae Scientiarum Fennicae Mathematica, 40, pp. 203 - 213,
    Journal articles | 2015
    Cowling MG; Ottazzi A, 2015, 'Global contact and quasiconformal mappings of carnot groups', Conformal Geometry and Dynamics, 19, pp. 221 - 239,
    Journal articles | 2015
    Martini A; Ottazzi A; Vallarino M, 2015, 'Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups', ArXiv,
    Journal articles | 2014
    Le Donne E; Ottazzi A; Warhurst B, 2014, 'Ultrarigid tangents of sub-Riemannian nilpotent groups', Annales de l'Institut Fourier, 64, pp. 2265 - 2282,
    Journal articles | 2014
    Le Donne E; Ottazzi A, 2014, 'Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds', Journal of Geometric Analysis,
    Journal articles | 2014
    Ottazzi A; Vallarino M, 2014, 'Spectral multipliers for Laplacians with drift on Damek-Ricci spaces', Mathematische Nachrichten, 287, pp. 1837 - 1847,
    Journal articles | 2012
    Ottazzi A, 2012, 'Classes of nonrigid Carnot groups', Bulletin of the Malaysian Mathematical Sciences Society, 35, pp. 567 - 571
    Journal articles | 2011
    Ottazzi A; Warhurst B, 2011, 'Contact and 1-Quasiconformal maps on carnot groups', Journal of Lie Theory, 21, pp. 787 - 811
    Journal articles | 2011
    Ottazzi A; Warhurst BT, 2011, 'Algebraic prolongation and rigidity of Carnot groups', Monatshefte fur Mathematik, 162, pp. 179 - 195,
    Journal articles | 2010
    Alessandro O, 2010, 'Polynomial bases of split simple Lie algebras', Publicationes Mathematicae Debrecen, 76, pp. 157 - 171
    Journal articles | 2010
    De Mari F; Ottazzi A, 2010, 'Rigidity of carnot groups relative to multicontact structures', Proceedings of the American Mathematical Society, 138, pp. 1889 - 1895,
    Journal articles | 2010
    Ottazzi A; Warhurst B, 2010, 'A Liouville type theorem for Carnot groups', ArXiv,
    Journal articles | 2010
    Ottazzi A; Warhurst B, 2010, 'Rigidity of iwasawa nilpotent lie groups via tanaka's theory', Note di Matematica, 30, pp. 141 - 146,
    Journal articles | 2010
    Ottazzi A, 2010, 'Multicontact mappings on Hessenberg manifolds', ArXiv,
    Journal articles | 2008
    Ottazzi A, 2008, 'A sufficient condition for nonrigidity of Carnot groups', Mathematische Zeitschrift, 259, pp. 617 - 629,
    Journal articles | 2005
    Ottazzi A, 2005, 'Multicontact vector fields on Hessenberg manifolds', Journal of Lie Theory, 15, pp. 357 - 377
  • Working Papers | 2021
    Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, ,
    Working Papers | 2018
    Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, ,
    Working Papers | 2017
    Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, http://dx.doi.orghttps://www.researchgate.net/publication/317218306_From_homogeneous_metric_spaces_to_Lie_groups
  • Preprints | 2024
    Ottazzi A; Santagati F, 2024, Carleson measures on locally finite trees,
    Preprints | 2022
    Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of CR manifolds, ,
    Preprints | 2022
    Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of nilpotent Lie groups, ,
    Preprints | 2021
    Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, ,
    Preprints | 2018
    Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, ,
    Preprints | 2018
    Nicolussi S; Ottazzi A, 2018, Polarised Lie groups contactomorphic to stratified groups, ,
    Preprints | 2017
    Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, ,
    Preprints | 2017
    Martini A; Ottazzi A; Vallarino M, 2017, A multiplier theorem for sub-Laplacians with drift on Lie groups, ,
    Preprints | 2017
    Ottazzi A; Vittone D, 2017, On the codimension of the abnormal set in step two Carnot groups, ,
    Preprints | 2016
    Capogna L; Citti G; Donne EL; Ottazzi A, 2016, Conformality and $Q$-harmonicity in sub-Riemannian manifolds, ,
    Preprints | 2016
    Ottazzi A; Schmalz G, 2016, Normal forms of para-CR hypersurfaces, ,
    Preprints | 2015
    Donne EL; Montgomery R; Ottazzi A; Pansu P; Vittone D, 2015, Sard Property for the endpoint map on some Carnot groups, ,
    Preprints | 2015
    Martini A; Ottazzi A; Vallarino M, 2015, Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups, ,
    Preprints | 2014
    Cowling MG; Ottazzi A, 2014, Global contact and quasiconformal mappings of Carnot groups, ,
    Preprints | 2014
    Ottazzi A; Schmalz G, 2014, Singular multicontact structures, ,
    Preprints | 2013
    Cowling MG; Ottazzi A, 2013, Conformal maps of Carnot groups, ,
    Preprints | 2013
    Ottazzi A; Vallarino M, 2013, Spectral multipliers for Laplacians with drift on Damek-Ricci spaces, ,
    Preprints | 2012
    Donne EL; Ottazzi A, 2012, Isometries of Carnot groups and subFinsler homogeneous manifolds, ,
    Preprints | 2011
    Donne EL; Ottazzi A; Warhurst B, 2011, Ultrarigid tangents of sub-Riemannian nilpotent groups, ,
    Preprints | 2010
    Ottazzi A; Warhurst B, 2010, A Liouville type theorem for Carnot groups, ,
    Preprints | 2010
    Ottazzi A; Warhurst B, 2010, Contact and 1-quasiconformal maps on Carnot groups, ,
    Preprints | 2010
    Ottazzi A, 2010, Multicontact mappings on Hessenberg manifolds, ,
    Conference Papers | 2009
    Ottazzi A, 2009, 'Classes of Nonrigid Carnot Groups', in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, MALAYSIAN MATHEMATICAL SCIENCES SOC, MALAYSIA, Kuala Lumpur, pp. 567 - 571, presented at 5th Asian Mathematical Conference (AMC), MALAYSIA, Kuala Lumpur, 22 June 2009 - 26 June 2009,