ALESSANDRO OTTAZZI. Personal informations CIRM Fondazione Bruno Kessler via Sommarive, 14 I Trento Office: (+39)
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1 Personal informations CIRM Fondazione Bruno Kessler via Sommarive, 14 I Trento Office: (+39) ALESSANDRO OTTAZZI Homepage: ottazzi/ Education Date of birth: 23 December, 1974 Place of birth: Genova Home address: Via Medicina 5, Sant Olcese (GE), Italy Mobile number: (+39) February 1999: Laurea in Mathematics, University of Genova. Title of the thesis : Algebre Commutative di Operatori corrispondenti alle trasformazioni affini del piano tempo-frequenza (= Commutative operator algebras corresponding to the affine transformations in the time-frequency plane ). Advisor: Filippo De Mari. Voto: 110 / 110 cum laude. May 2004: PhD in Mathematics and applications, University of Genova. Title of the thesis: Multicontact mappings on Hessenberg manifolds, Advisor: Filippo De Mari. Research interests Contact and quasiconformal mappings on sub-riemannian metric spaces. Analysis and geometry on metric spaces. Current position Research fellow at CIRM since January Academic positions, Visiting positions, Other March 2000/February 2003: PhD fellowship from Politecnico di Torino. June 2002/August 2002: pre-doctorate stage at the University of Orleans, funded by the european project HARP (Harmonic Analysis and Related Problems). January/April 2003: fellowship of the University of Genova training of young researchers at foreign centers of excellence, spent at the University of Orleans. September 2003/August 2004: Research fellow funded by PRIN, University di Genova. September 2004/August 2006: Postdoc at the University of Bern, co-funded by the Swiss National Science Foundation, University of Bern, for a research project written with H.M.Reimann on the rigidity of Carnot groups. October 2006/January 2007: Research fellow, University of Genova. January 2008/December 2011: Research fellow, University of Milano Bicocca. 1
2 2 June 2008: visiting, University of New South Wales, Sydney, Australia. July 2010: visiting, University of New South Wales, Sydney, Australia February 2011: visiting, Aalto University of Helsinki, Finland. Reviewer for the Zentralblatt MATH since august Conference organizations Workshop Geometric and Harmonic Analysis on Subriemannian Spaces, March 2009, funded by the Department of Mathematics and applications of Milano Bicocca and from PRIN 2007 (national research project) of harmonic analysis. Speakers: Z. Balogh, A. Calogero, L. Capogna, V. Casarino, M. Cowling, F. De Mari, G. Mauceri, R. Monti, R. Serapioni, M.C. Tesi, J. Tyson, B. Warhurst. Webpage: ottazzi/workshop.htm School-Workshop HART, Harmonic Analysis and Related Topics, February 2011, co-organization with Stefano Meda and Maria Vallarino. Courses by Ilkka Holopainen, Fulvio Ricci, Joan Verdera. Webpage: Teaching Academic Year : Lecturer for the pre-course in calculus at the Engeneering school of the Politecnico of Torino. Academic Year : Tutor of first year calculus at the Faculty of Science (Univ. of Genova). Tutor of first year calculus for the school of mathematics at the Univ. of Genova. Academic Year : Tutor of first year calculus for the school of mathematics at the Univ. of Genova. Academic Year : Tutor of first year calculus for the school of computer science at the Univ. of Genova. Academic Year : Lecturer of the course Nilpotent Lie groups at the Faculty of Exact Sciences at the University of Bern, in english. Assistant to the course of second year calculus for the students of the Faculty of Exact Sciences at the University of Bern, in german. Academic Year : Lecturer of the course Hopf bifurcation at the Faculty of Exact Sciences at the University of Bern, in english; Assistant to the course Wavelets at the Faculty of Exact Sciences at the University of Bern, in german, and containing lab exercises with Matlab Wavelet Tool. Academic Year : Assistant of the course of first year calculus, Faculty of Engeneering, Politecnico of Torino; Lecturer for the project of web-teaching of the Politecnico of Torino. Academic Year : Assistant of the course Matematica e Statistica for the school of Biology; Assistant of first year calculus for the school of Chemical Sciences. Academic Year : Assistant of the course Matematica e Statistica for the school of Biology; Assistant of first year calculus for the school of Chemical Sciences. Lecturer for the introductory courses of mathematics for the social
3 sciences. Lecturer for the introductory courses of mathematics for the faculty of sciences. Academic Year : Assistant of the course Matematica e Statistica for the school of Biology; Assistant of first year calculus for the school of Chemical Sciences. Lecturer for the introductory courses of mathematics for the social sciences. Lecturer for the introductory courses of mathematics for the faculty of sciences. Academic Year : Assistant of first year calculus for the school of Chemical Sciences. Lecturer for the introductory courses of mathematics for the social sciences. Coordinator and Lecturer for the introductory courses of mathematics for the faculty of sciences. Invited lectures Multicontact vector fields on Hessenberg manifolds : Convegno di Analisi Armonica, Padova, May 2003; Young researcher days of the HARP Network, Orleans, June 2003 (satellite of Coifmann-Meyer conference in Orsay, Paris); XVII Congresso UMI, Milano, 8-13 September A sufficient condition for nonrigidity of Carnot Groups : Convegno Nazionale di Analisi Armonica, Caramanico Terme (I), May Conference in Geometric Analysis and its applications, Bern (CH), January Bicontact mappings and Tanaka prolongations : Workshop Analisi e geometria subriemanniana, 8 10 July 2008, Genova. Contact and multicontact maps on Carnot groups : Convegno Nazionale di Analisi Armonica, June 2009, Bardonecchia. Classes of nonrigid Carnot groups : 5 th Asian Mathematical Conference, June 2009, Kuala Lumpur, Malaysia. The Liouville theorem for Carnot groups : Workshop on non-riemannian mapping theory and geometry, May 2010, Bern. Series of seminars at Aalto Univerity, Helsinki, 10 February New function spaces in PDEs and Harmonic Analysis, Napoli, May 1-June 4, XXX Convegno di Analisi Armonica, 7 11 June 2010, Gargnano. Tanaka prolongation and special mappings on Carnot groups : 3
4 4 Minicourse at the Workshop on Group Representation and Visual Cortex, September 2010, Bologna. Ultrarigid tangents on sub-riemannian nilpotent Lie groups : Series of lectures introducing Gromov-Hausdorff tangent cone at the University of Genova, May XXXI Convegno di Analisi Armonica, May 30-June 4, 2011, Roma. Series of seminars at ETH Zurich, June 6-10, Martin s Days, Analysis Conference in Honour of Hans Martin Reimann s 70th Birthday, University of Bern, November Department seminars In the last years I actively participated at the seminar programs held at the departments that hosted me, giving regularly talks on my research progresses. Among other, I gave a series of lectures on representation of nilpotent Lie groups in 2005 at the University of Bern, and another series of lectures at the University of Milano-Bicocca, on the theory of quasiconformal mappings on euclidean spaces and the Heisenberg group. I was also invited to present my results in several universities, such as the Scuola Normale Superiore di Pisa, the University of South Wales in Sydney, the University of Helsinki etc. From 2009to 2011 I have been co organizer of the seminars of harmonic analysis at the University of Milano Bicocca. Other Conferences attended Schools Convegno di Analisi Armonica, Como, June Harmonic Analysis on Complex Homogeneous Domains and Lie Groups, Rome May Convegno di Analisi Armonica, Piano di Sorrento, May Second Göteborg Conference in Harmonic Analysis and P.D.E., Göteborg June Heat kernels, Random Walks and Analysis on Manifolds and Graphs, Centre Emile Borel of the Institute Henri Poicare, Paris, April Convegno di Analisi Armonica, Sestri Levante, March International Conference on Integral Geometry, Harmonic Analysis and Representation Theory. in honor of Sigurdur Helgason, Reykjavik, Iceland, 15th - 18th August 2007, University of Iceland Convegno di Analisi Armonica, Perugia, May International Conference of subriemannian geometry and vision, 31 August 5 September 2009, Bologna. 1 June /31 August 2002: Pre-doctorate stage at MAPMO, University of Orleans. 1-6 September 2003: Pisa, short courses in Harmonic Analysis June 2004: Venezia, Representation theory and Complex Analysis. 3-8 April 2005: Les Diablerets, Geometric Measure Theory: Old and New.
5 22-27 May 2005: Trento, Fourth School on Analysis and Geometry in Metric Spaces June 2007: Levico Terme, Fifth School on Analysis and Geometry in Metric Spaces June 2009: Levico Terme, Sixth School on Analysis and Geometry in Metric Spaces June 2011: Levico Terme, Seventh School on Analysis and Geometry in Metric Spaces. Languages Italian: mother tongue, English: correctly written and spoken, excellent understanding, French, German: average level. 5 Publications A. Ottazzi, Multicontact vector fields on Hessenberg manifolds, Journal of Lie Theory, Volume 15 (2005), A. Ottazzi, A sufficient condition for nonrigidity of Carnot groups, Math. Z., Volume 259, no. 3 (2008). A. Ottazzi, Classes of nonrigid Carnot groups, to appear in Bull. Malays. Math. Soc., II. Ser., School of Mathematical Sciences, Universiti Sains Malaysia, USM Penang, Malaysia. A. Ottazzi, Polynomial bases for split simple Lie algebras, Publ. Math. Debrecen, 2010, Vol.76, Fasc F. De Mari, A. Ottazzi, Rigidity of Carnot groups relative to multicontact structures, Proc. Amer. Math. Soc. 138 (2010), A. Ottazzi, B. Warhurst Algebraic prolongation and rigidity of Carnot groups, Monatsh. Math., Vol. 162, no. 2, (2011). A. Ottazzi, B. Warhurst Rigidity of Iwasawa nilpotent Lie groups via Tanaka s theory, Note di Matematica 30, Issue, (2010). A. Ottazzi, B. Warhurst, Contact and 1-quasiconformal maps on Carnot groups, J. of Lie Theory 21 (2011), Proceedings
6 6 A. Ottazzi, The Liouville Theorem for Carnot groups: old and new. Seminario Dottorato 2010/11, Dipartimento di Matematica, Università di Padova, note.pdf, (2011), A. Ottazzi, B. Warhurst A Liouville type theorem for Carnot groups: a case study, to appear on Proceedings of the Conference Harmonic Analysis, dedicated to Alessandro Figà Talamanca, Accademia dei Lincei, Roma. Preprints e Arxiv A. Ottazzi, Mappe di multicontatto su varietà di Hessenberg, PhD thesis, University of Genova, May Online arxiv: v1. A. Ottazzi, E. Le Donne, B. Warhurst Ultra-rigid tangents of sub-riemannian nilpotent groups., submitted, online arxiv: v1.
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