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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 also enjoy travelling, cooking, red wine, and colourful shoes.  
Phone
9385 9915
E-mail
a.ottazzi@unsw.edu.au
Location
School of Mathematics and Statistics »Ê¹Ú²ÊƱ AUSTRALIA SYDNEY NSW 2052 The Red Centre Room 6103
  • Journal articles | 2025
    Ottazzi A; Santagati F; Vallarino M, 2025, 'Ap weights on nonhomogeneous trees equipped with measures of exponential growth', Revista Matematica Complutense, 38, pp. 505 - 530,
    Journal articles | 2024
    Chang DC; Li J; Ottazzi A; Wu L, 2024, 'Taylor polynomial and Hardy spaces on the Shilov boundary of product domains in C2n', Annals of Mathematical Sciences and Applications, 9, pp. 643 - 669,
    Journal articles | 2024
    Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2024, 'CR EMBEDDINGS OF NILPOTENT LIE GROUPS', Proceedings of the American Mathematical Society, 152, pp. 3413 - 3422,
    Journal articles | 2024
    Cowling MG; Kivioja V; Le Donne E; Golo SN; Ottazzi A, 2024, 'From homogeneous metric spaces to Lie groups', Comptes Rendus Mathematique, 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 | 2025
    Ottazzi A; Santagati F, 2025, Harmonic Bergman spaces on locally finite trees,
    Preprints | 2024
    Ottazzi A; Santagati F, 2024, Carleson measures on locally finite trees,
    Preprints | 2023
    Chang D-C; Li J; Ottazzi A; Wu Q, 2023, Optimal lifting of Levi-degenerate hypersurfaces and applications to the Cauchy--Szegö projection,
    Preprints | 2023
    Ottazzi A; Santagati F; Vallarino M, 2023, $A_p$ weights on nonhomogeneous trees equipped with measures of exponential growth,
    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,

ARC DP22: DP220100285; Harmonic analysis of Laplacians in curved spaces

I work on special mappings between metric spaces that preserve metric related properties, such as isometries, conformal or quasi-conformal mappings. My setting is usually that of sub-Riemannian metrics on Lie groups. I am also interested in the interaction between group theoretic properties and Laplace-like operators. Lately, I have been considered problems of harmonic analysis also on discrete structures such as trees, seen as metric measure spaces.

My Research Supervision

PAST:

Masters by Reseach to completion (2020): Junze Zhang "CR structures on nilpotent Lie groups and flag manifolds".