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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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EDITORIAL SERVICE:
Member of Editorial board of ESAIM: Control, Optimisation and Calculus of Variations
Member of Editorial board of Journal of Dynamical and Control Systems
Member of Editorial board of Rendiconti del Seminario Matematico della Università di Padova (EMS Press)
RECENT NEWS AND EVENTS:
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
Riemann 200: Mathematics and Physics, Leibniz Universitat Hannover, 16--20 March 2026
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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],
RECENT 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 ORGANIZED:
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 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]
Member of Editorial board of ESAIM: Control, Optimisation and Calculus of Variations
Member of Editorial board of Journal of Dynamical and Control Systems
Member of Editorial board of Rendiconti del Seminario Matematico della Università di Padova (EMS Press)
RECENT NEWS AND EVENTS:
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
Riemann 200: Mathematics and Physics, Leibniz Universitat Hannover, 16--20 March 2026
-
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],
RECENT 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 ORGANIZED:
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 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]
