paoloantonini
Curriculum vitae et studiorum
Contact
Prof. Address
e-Mail
Dipartimento di Matematica e Geoscienze, Università di Trieste, Via Valerio 12/1
34127, Trieste.
[email protected], and [email protected]
Education
2004–2009
P.H.D. Thesis
title
supervisor
2004
P.H.D Student, Università di Roma, La Sapienza.
25 February 2009
A signature formula for foliations on manifolds with cylindrical ends
Paolo Piazza
Laurea in Mathematics, Università di Perugia, Italy.
Final grade 110/110 Cum laude
Tesi di laurea
Supervisors
Diseguaglianze ellittiche singolari su varietà riemanniane complete.
Patrizia Pucci and Dimitri Mugnai
My thesis is resulted winner of the Antonella Fiacca Price for the best thesis on Analysis.
Positions
April 2009 to
April 2010
April 2010 to
March 2011
March 2011 to
October 2011
November 2011
to November
2012
December 2012
to July 2013
September 2013
to September
2105
Post doc position, University of Regensburg, Supervisor: Prof. Bernd Ammann.
Post doc position, University of Rome La Sapienza, Matematica e sue applicazioni.
Post doc position, University of Rome La Sapienza, Topology of differential manifolds,
Supervisor: Prof. Paolo Piazza.
Post doc position, C.I.R.M international centre for math research Trento, Italy and
Bruno Kessler Foundation.
Post doc position, Institut de Mathèmatiques de Jussieu Projet Algèbres d’opérateurs,
Paris 7 Diderot, Supervisor: Prof. Georges Skandalis.
Post doc position, Department de Mathèmatiques de Orsay Equipe topologie et dynamique , Postdoc at Department de Mathèmatiques de Orsay Equipe topologie et
dynamique, Paris Sud.
Supervisor: Jean–Michel Bismut European Research Council (E.R.C.), European Union’s Seventh Framework Program (FP7/2007-2013), ERC grant agreement No. 291060, Analysis of
Dirac operators
September 2015
to now
Post doc position in Noncommutative geometry, University of Trieste and SISSA ,
Supervisor: Prof Giovanni Landi.
Personal address • Via Alfieri 6, Trieste, 34129 Italy
H +393464923486 • B [email protected], Homepage:
https://paoloanto.wordpress.com , skype: paolo.antonini
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Workshops
Hilbert modules and Index theory, Trieste - SISSA.
2015
2015
2015
2014
2014
2014
2012
2012
2012
2010
2010
2009
2008
2007
2007
2006
2004
Noncommutative methods in topology and geometry, Lyon.
Advances in noncommuttaive geometry, Paris.
Deformation Quantization and Algebraic Index Theorems, Copenhagen.
Higher Invariants, University of Regensburg.
Analysis and Topology in Interaction, Cortona.
Noncommutative geometry and applications to Physics, Milano.
The Annual Christmas Conference of the Non Commutative Geometry GDR,
Metz.
Analysis and topology in interaction, Cortona.
Higher index theory and differential K theory, Gottingen.
Oberwolfach workshop on Analysis and geometric singularities, Oberwolfach.
Spring School in Lie Groupoids and boundary value problems, Regensburg.
Workshop Applications Géeométriques de l’analyse microlocale , Centre de rencontres Math., Luminy (Marseille).
Trimester, Groupoids and stacks in Geometry and Physics, Inst. Henry Poincaré,
Paris.
Workshop Analysis and Geometric singularities, Institut für Mathematik, Oberwolfach.
Workshop Theories de l0 indice, GDR Geometrie non commutative, Centre de
rencontres Math., Luminy.
Summer International School, Perugia.
-Courses: Differential geometry (Patrick Eberlein) and Differential equations of Mathematical
Physics (B. Ruf)
2003
School of calculus of variations and dynamical systems, Universitá cattolica di
Brescia.
Teaching
2004–2005
Graduate Teaching Assistant, Universitá degli studi di Perugia .
Supervised a course of Calculus for students in mathematics. and physics
2011–2012
Graduate Teaching Assistant, La Sapienza Universitá di Roma .
Supervised a course of Geometry for students in mathematics, prof. Paolo Piccinni and Andrea
Sambusetti
From Febr. 2016
Ph.D Course "The Atiyah–Singer index theorem", SISSA, International School for
Advanced Studies, Trieste.
Talks
March. 2016
Feb. 2016
von Neumann algebras, K-theory with coefficients and rho invariants of elliptic
operators, Institut Montpelliérain Alexander Grothendieck, université de Montpellier,
séminaire topologie.
von Neumann algebras, K-theory with coefficients and rho invariants, Università
di Roma II, Tor Vergata, seminario di algebre di operatori.
Personal address • Via Alfieri 6, Trieste, 34129 Italy
H +393464923486 • B [email protected], Homepage:
https://paoloanto.wordpress.com , skype: paolo.antonini
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July 2015
Oct 2015
June 2015
Feb 2015
Jun 2014
Dec 2013
Oct 2013
Mar. 2013
2012
2012
2011
2010
April 2009
May 2009
August 2009
Non integrable transitive Lie algebroids, Georg-August-Universität Göttingen Mathematisches Institut, Oberseminar noncommutative geometry.
Bivariant K-theory with coefficients and rho classes of unitary representations,
SISSA - Trieste, Conference "Hilbert modules and index theory".
Bivariant K-theory with coefficients and rho classes of unitary representations,
Lyon, Conference "Noncommutative methods in topology and analysis".
The signature of a foliation, Berlin, Humboltd Universität Oberseminar Global Analysis.
Flat bundles, K–Theory with coefficients R/Z and von Neumann algebras, Cortona, Analysis and Topology in Interaction.
Flat bundles, K–Theory with coefficients R/Z and von Neumann algebras, Paris
7, Seminar operator algebras.
Flat bundles, K–Theory with coefficients R/Z and von Neumann algebras,
Sapienza universitá di Roma, seminario di algebra e geometria..
Index theory on manifolds with a Lie structure at infinity, Institut de Mathèmatiques de Jussieu, Paris 7 Diderot.
Groupoids and algebroids in geometry and Analysis, Levico term, Workshop: Progressi recenti in geometria reale e complessa.
Groupoids and algebroids in geometry and Analysis, University of Trento.
From Riemann–Roch to Atiyah Singer, University of Trento.
Pseudodifferential operators on Lie manifolds at infinity and Melrose b–calculus,
University of Gottingen.
The Atiyah–Patodi–Singer index formula for foliations, University of Regensburg.
The Atiyah–Patodi–Singer index formula for foliations, University of Gottingen.
The Atiyah–Patodi–Singer index formula for foliations, Conference "Noncommutative Geometry and Quantum Physics" , GENCO 09, Vietri sul Mare.
Languages
Italian
English
French
Mother Language
Fluent
Fluent
Reserch Interests
Index theory, Global analysis and applications
Non commutative geometry, operator algebras and K–Theory
List of Publications
Quasilinear elliptic inequalities on complete Riemannian manifolds, with D. Mugnai, P. Pucci, Journal de Mathématiques Pures et Appliqués, Volume 87, Issue 6 (2007)
582–600. http://www.dmi.unipg.it/~mugnai/download/amp.pdf
Personal address • Via Alfieri 6, Trieste, 34129 Italy
H +393464923486 • B [email protected], Homepage:
https://paoloanto.wordpress.com , skype: paolo.antonini
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The Atiyah Patodi Singer index formula for measured foliations, Bulletin des
sciences mathématiques , Volume 137, Issue 2 (2013) 140–176.
The Atiyah Patodi Singer signature formula for measured foliations, Journal für
die reine und angewandte Mathematik (Crelle’s Journal), Volume 2014, Issue 695 (2014)
217–242.
Generalized Dirac Operators on Lorentzian manifolds and propagation of singularities, Rendiconti del seminario matematico della università di Padova, Volume 126,
(2011) 237–244.
Boundary integral for the Ramachandran index, Rendiconti del seminario matematico della università di Padova, Volume 131(2014) 1–14.
Flat bundles, von Neumann algebras and R/Z–K–Theory, joint paper with S.
Azzali and G. Skandalis , Journal of K–theory, Volume 13, Issue 02 (2014) 275–303.
Bivariant K-theory with coefficients in R/Z and rho classes of unitary representations, With S.Azzali and Georges Skandalis, J. Funct. Anal. 270, no. 1, (2016)
447–481.
Papers in progress
Non integrable Lie algebroids in noncommutative geometry, With I. Androulidakis.
The Caldéron projection over C ∗ algebras and the delocalized A.P.S. index.
Personal address • Via Alfieri 6, Trieste, 34129 Italy
H +393464923486 • B [email protected], Homepage:
https://paoloanto.wordpress.com , skype: paolo.antonini
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