Dr Alessandro Ottazzi

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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 UNSW AUSTRALIA SYDNEY NSW 2052 The Red Centre Room 6103

Journal articles | 2025

Chang DC; Li J; Ottazzi A; Wu L, 2025, 'A refined good-λ inequality associated to a new square function', Annals of Mathematical Sciences and Applications, 10, pp. 461 - 494, http://dx.doi.org/10.4310/AMSA.251104021227

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, http://dx.doi.org/10.1007/s13163-024-00501-9

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, http://dx.doi.org/10.4310/AMSA.241031223202

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, http://dx.doi.org/10.1090/proc/16818

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, http://dx.doi.org/10.5802/crmath.608

Journal articles | 2024

Golo SN; Ottazzi A, 2024, 'Left-invariant distributions diffeomorphic to flat distributions', Geometriae Dedicata, 218, http://dx.doi.org/10.1007/s10711-024-00905-3

Journal articles | 2024

Ottazzi A; Santagati F, 2024, 'Carleson Measures on Locally Finite Trees', Journal of Geometric Analysis, 34, http://dx.doi.org/10.1007/s12220-024-01823-2

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, http://dx.doi.org/10.1007/s10231-022-01241-7

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, http://dx.doi.org/10.1090/bproc/48

Journal articles | 2019

Capogna L; Citti G; Le Donne E; Ottazzi A, 2019, 'Conformality and Q-harmonicity in sub-Riemannian manifolds', Journal Des Mathematiques Pures Et Appliquees, 122, pp. 67 - 124, http://dx.doi.org/10.1016/j.matpur.2017.12.006

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, http://dx.doi.org/10.1051/cocv/2018002

Journal articles | 2018

Martini A; Ottazzi A; Vallarino M, 2018, 'Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups', Journal D Analyse Mathematique, 136, pp. 357 - 397, http://dx.doi.org/10.1007/s11854-018-0063-6

Journal articles | 2018

Nicolussi S; Ottazzi A, 2018, 'Polarised Lie groups contactomorphic to stratified groups', Polarised Lie groups contactomorphic to stratified groups, http://arxiv.org/abs/1807.03854v2

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, http://dx.doi.org/10.4171/RMI/1090

Journal articles | 2017

Ottazzi A; Schmalz G, 2017, 'Normal forms of para-CR hypersurfaces', Differential Geometry and Its Application, 52, pp. 78 - 93, http://dx.doi.org/10.1016/j.difgeo.2017.03.018

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, http://dx.doi.org/10.1007/978-88-470-2853-1_13

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, http://dx.doi.org/10.1016/j.anihpc.2015.07.004

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, http://dx.doi.org/10.1007/s12220-014-9552-8

Journal articles | 2016

Ottazzi A; Schmalz G, 2016, 'Singular multicontact structures', Journal of Mathematical Analysis and Applications, 443, pp. 1220 - 1231, http://dx.doi.org/10.1016/j.jmaa.2016.06.002

Journal articles | 2015

Cowling MG; Ottazzi A, 2015, 'Conformal maps of carnot groups', Annales Academiae Scientiarum Fennicae Mathematica, 40, pp. 203 - 213, http://dx.doi.org/10.5186/aasfm.2015.4008

Journal articles | 2015

Cowling MG; Ottazzi A, 2015, 'Global contact and quasiconformal mappings of carnot groups', Conformal Geometry and Dynamics, 19, pp. 221 - 239, http://dx.doi.org/10.1090/ecgd/282

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, http://dx.doi.org/10.5802/aif.2912

Journal articles | 2014

Le Donne E; Ottazzi A, 2014, 'Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds', Journal of Geometric Analysis, http://dx.doi.org/10.1007/s12220-014-9552-8

Journal articles | 2014

Ottazzi A; Vallarino M, 2014, 'Spectral multipliers for Laplacians with drift on Damek-Ricci spaces', Mathematische Nachrichten, 287, pp. 1837 - 1847, http://dx.doi.org/10.1002/mana.201300268

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, http://dx.doi.org/10.1007/s00605-009-0170-7

Journal articles | 2010

Alessandro O, 2010, 'Polynomial bases of split simple Lie algebras', Publicationes Mathematicae Debrecen, 76, pp. 157 - 171, http://dx.doi.org/10.5486/pmd.2010.4437

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, http://dx.doi.org/10.1090/S0002-9939-10-10212-3

Journal articles | 2010

Ottazzi A; Warhurst B, 2010, 'A Liouville type theorem for Carnot groups', ArXiv, https://archive.org/stream/arxiv-1001.1087/1001.1087?ui=embed#page/n0/mode/2up

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, http://dx.doi.org/10.1285/i15900932v30n1p141

Journal articles | 2010

Ottazzi A, 2010, 'Multicontact mappings on Hessenberg manifolds', ArXiv, https://arxiv.org/abs/1001.1083

Journal articles | 2008

Ottazzi A, 2008, 'A sufficient condition for nonrigidity of Carnot groups', Mathematische Zeitschrift, 259, pp. 617 - 629, http://dx.doi.org/10.1007/s00209-007-0240-2

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, http://dx.doi.org, http://arxiv.org/abs/2102.07371v4

Working Papers | 2018

Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, http://dx.doi.org, http://arxiv.org/abs/1807.00994v2

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

FÃssler K; Donne EL; Golo SN; Ottazzi A; Pansu P, 2025, Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth

Preprints | 2025

Ottazzi A; Santagati F, 2025, Harmonic Bergman spaces on locally finite trees, http://arxiv.org/abs/2505.03479v1

Preprints | 2024

Ottazzi A; Santagati F, 2024, Carleson measures on locally finite trees, http://arxiv.org/abs/2405.08358v1

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, http://arxiv.org/abs/2309.00525v2

Preprints | 2023

Ottazzi A; Santagati F; Vallarino M, 2023, $A_p$ weights on nonhomogeneous trees equipped with measures of exponential growth, http://arxiv.org/abs/2312.11455v1

Preprints | 2022

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of CR manifolds, http://arxiv.org/abs/2204.01174v1

Preprints | 2022

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of nilpotent Lie groups, http://arxiv.org/abs/2210.07515v2

Preprints | 2021

Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, http://dx.doi.org/10.48550/arxiv.2102.07371

Preprints | 2018

Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, http://dx.doi.org/10.48550/arxiv.1807.00994

Preprints | 2018

Nicolussi S; Ottazzi A, 2018, Polarised Lie groups contactomorphic to stratified groups, http://arxiv.org/abs/1807.03854v2

Preprints | 2017

Capogna L; Citti G; Donne EL; Ottazzi A, 2017, Conformality and $Q$-harmonicity in sub-Riemannian manifolds, https://arxiv.org/abs/1603.05548

Preprints | 2017

Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, http://dx.doi.org/10.48550/arxiv.1705.09648

Preprints | 2017

Martini A; Ottazzi A; Vallarino M, 2017, A multiplier theorem for sub-Laplacians with drift on Lie groups, http://dx.doi.org/10.4171/rmi/1090

Preprints | 2017

Ottazzi A; Vittone D, 2017, On the codimension of the abnormal set in step two Carnot groups, http://arxiv.org/abs/1709.02854v3

Preprints | 2016

Ottazzi A; Schmalz G, 2016, Normal forms of para-CR hypersurfaces, http://arxiv.org/abs/1611.07576v1

Preprints | 2015

Donne EL; Montgomery R; Ottazzi A; Pansu P; Vittone D, 2015, Sard Property for the endpoint map on some Carnot groups, http://dx.doi.org/10.1016/j.anihpc.2015.07.004

Preprints | 2015

Martini A; Ottazzi A; Vallarino M, 2015, Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups, https://arxiv.org/abs/1504.03862

Preprints | 2014

Cowling MG; Ottazzi A, 2014, Global contact and quasiconformal mappings of Carnot groups, http://arxiv.org/abs/1408.1778v1

Preprints | 2014

Ottazzi A; Schmalz G, 2014, Singular multicontact structures, http://arxiv.org/abs/1409.2229v1

Preprints | 2013

Cowling MG; Ottazzi A, 2013, Conformal maps of Carnot groups, http://arxiv.org/abs/1312.6423v1

Preprints | 2013

Ottazzi A; Vallarino M, 2013, Spectral multipliers for Laplacians with drift on Damek-Ricci spaces, http://arxiv.org/abs/1309.6154v1

Preprints | 2012

Donne EL; Ottazzi A, 2012, Isometries of Carnot groups and subFinsler homogeneous manifolds, http://arxiv.org/abs/1210.5097v1

Preprints | 2011

Donne EL; Ottazzi A; Warhurst B, 2011, Ultrarigid tangents of sub-Riemannian nilpotent groups, http://arxiv.org/abs/1104.3071v2

Preprints | 2010

Ottazzi A; Warhurst B, 2010, A Liouville type theorem for Carnot groups, https://archive.org/stream/arxiv-1001.1087/1001.1087?ui=embed#page/n0/mode/2up

Preprints | 2010

Ottazzi A; Warhurst B, 2010, Contact and 1-quasiconformal maps on Carnot groups, http://arxiv.org/abs/1001.3817v3

Preprints | 2010

Ottazzi A, 2010, Multicontact mappings on Hessenberg manifolds, http://dx.doi.org/10.48550/arxiv.1001.1083

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, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000303961500012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

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".

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