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POSITION
Professore Ordinario (Full Professor) Dipartimento di Matematica "Tullio Levi-Civita" Università degli Studi di Padova RESEARCH INTERESTS Sub-Riemannian Geometry Curvature, Geometric Control Theory Hypoelliptic PDEs, Optimal Transport Harmonic Analysis and Nilpotent groups |
ADDRESS
Torre Archimede via Trieste, 63 35121 - Padova, Italy. CONTACT Office 4AB6 (4th floor, AB corridor) Phone +39 049 827 1480 Mail: davide.barilari *@* unipd.it Mail: barilari *@* math.unipd.it |
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NEWS AND EVENTS:
Dispersion and Geometry in Padova, University of Padova, 06-07 May 2024
PaPa2: Padua-Paris sub-Riemannian seminar, 2nd edition: University of Padova, 03-05 July, 2024.
Geometry and Probability 2024, Yamagata, Japan, January 8-10, 2025
Sub-Riemannian Analysis and Geometry, Okinawa, Japan, January 14-16, 2025
New Challenges across Analysis and Geometry, PRIN conference, Trieste, May 12-14, 2025
Hypoellipticity in Lund 2025, Lund University, Sweden, June 23-28, 2025.
Nonlinear Meeting in Turin 2025, Torino, Italy, July 3-4, 2025
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A Course on ``Strichartz estimates and sub-Riemannian geometry'' at Spring School ``Modern Aspects of Analysis on Lie groups'',
Georg-August-University Gottingen, 02-05 April 2024 [Slides 1] [Slides 2] [Slides 3] [Slides 4]
Video of the talk ``Unification on synthetic curvature bounds for Riemannian and sub-Riemannian'' at ESI, Vienna - on Youtube [video],
EDITORIAL SERVICE:
Associate Editor of ESAIM: Control, Optimisation and Calculus of Variations
Associate Editor of Journal of Dynamical and Control Systems
GRANTS:
STARS@UNIPD GRANTS 2021 P.I. of the UNIPD Starting Grant Project: NewSRG 2022-2024
PRIN 2022 Coordinator of the project "Optimal Transport: new challenges across analysis and geometry" 2023-2025
SOME MATERIAL ON SUB-RIEMANNIAN GEOMETRY:
• A THREE LECTURES INTRODUCTION TO HEISENBERG GROUP: The geometry of the Heisenberg group: an invitation to sub-Riemannian geometry
4.5h Minicourse for Master Students in Paris Saclay, France, Sept 2019. [Lecture 1] [Lecture 2] [Lecture 3]
• A ONE LECTURE INTRODUCTION TO SUB-RIEMANNIAN GEOMETRY First part of two online lectures for Workshop "A Topological Theory of Tangent Distributions" Lorentz Center (Leiden, Netherlands) in 2021
• A FULL PHD COURSE IN SUB-RIEMANNIAN GEOMETRY: Topics in Sub-Riemannian geometry (1st Part Davide Barilari, 2nd Part Andrei Agrachev)
30h course at Università degli studi di Padova, March-April 2021, Academic Year 2020/2021, [webpage].
• A BOOK: A Comprehensive Introduction to Sub-Riemannian geometry (with A. Agrachev and U. Boscain)
Cambridge Studies in Advanced Mathematics (2019), Cambridge University Press. Publication: Oct 2019. [Cover].
SOME PAST ACTIVITIES:
Geometry and Control in Cortona, on the occasion of 70th birthday of A.Agrachev, March 2023
Hypoelliptic Operators in Geometry, Oberwolfach Workshop, 21 May - 27 May 2023
PaPa: Padua-Paris sub-Riemannian seminar: 6-7 September 2021.
Final Conference of the ANR Project SRGI "Sub-Riemannian Geometry and Interactions", 7-11 Sept 2020, Paris
From students to mathematicians: an excellence master program in Trieste - SISSA, Trieste, June 14-16, 2017 - [Poster]
IHP Trimester "Geometry, Analysis and Dynamics on Sub-Riemannian Manifolds" - Paris, Sept 1 - Dec 12, 2014 - [Poster]
Dynamics, geometry and analysis on sub-Riemannian manifolds, Volume I and II - EMS Series of Lectures in Mathematics - [Cover]
