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Table of contents

General Information

Full Name Giuseppe Savaré
Place and Date of Birth Pavia, 25th August 1966
Nationality Italian
Orcid 0000-0002-0104-4158
MathSciNet 336952

Education

  • 1988
    Laurea (cum laude) in Mathematics
    University of Pavia, Italy

Professional experience

  • 2020 -
    Full Professor, Mathematical Analysis.
    Department of Decision Sciences, Bocconi University
  • 2000 - 2020
    Full Professor, Mathematical Analysis.
    Department of Mathematics, University of Pavia
  • 1998 - 2000
    Associate Professor, Mathematical Analysis.
    Department of Mathematics, University of Pavia
  • 1990 - 1998
    Researcher
    Iinstitute of Mathematical Analysis and Information Technologies (IMATI), CNR, Pavia

Fellowships and Awards

  • 2019 - 2023
    • Hans Fischer senior fellow, Institute for Advanced Study, Technical University of Munich
  • 2019
    • Plenary Speaker, XXI Congresso Unione Matematica Italiana
  • 2016
    • Invited Speaker, 7th European Congress of Mathematics, Berlin, section “Analysis and PDEs”
  • 2015
    • John von Neumann Visiting Professor, Technical University of Munich
  • 2014
    • the results on Gradient Flows has been presented in the Exposé Bourbaki 1065, Flots de gradient dans les espaces métriques et leurs applications d’aprè Ambrosio-Gigli-Savaré, Asterisque 361.
  • 2012
    • The paper Chemical reactions as Gamma-limit of diffusion SIAM Rev. 54 (2012) (with M. Peletier, M. Veneroni) has been published as SIAM Review’s SIGEST award.
  • 2011
    • Ennio De Giorgi Prize, awarded by the Italian Mathematical Union
  • 1994
    • Gioachino Japichino Prize, awarded by the Accademia Nazionale dei Lincei

Institutional responsabilities

  • 2019
    Director of the Advanced School of Ph.D. Higher Education (SAFD)
    University of Pavia
  • 2014 - 2016
    University Assessment Commission
    University of Pavia
  • 2001 - 2008
    Director of the Ph.D. program in Mathematics and Statistics.
    University of Pavia
  • 1990 -
    Research associate
    Iinstitute of Mathematical Analysis and Information Technologies (IMATI), CNR, Pavia

Reviewing activity

  • 2023 - present
    ESAIM Control, Optimisation and Calculus of Variations
    • Member of the editorial board
  • 2018 -
    Unione Matematica Italiana
    • member of the Scientific Advisory Board
  • 2014 -
    C.I.M.E. Foundation
    • member of the Scientific Advisory Board
  • 2016 -
    Applied Mathematics and Optimization
    • member of the editorial board
  • 2013 -
    Potential Analysis
    • member of the editorial board

Recent academic interests

  • Foundation of the theory of metric-measure spaces with Riemannian Ricci curvature bounded from below (the so-called RCD(K,∞) condition)
  • Metric-Sobolev spaces, identification of the construction by Lipschitz functions and Cheeger energy with the Newtonian approach
  • Entropy-Transport formulation for unbalanced optimal transport and the characterization of the new Hellinger-Kantorovich distance
  • Foundation of Balanced Viscosity and Visco-Energetic solutions to rate-independent processes in infinite-dimensional spaces
  • Dissipative evolutions of probability measures
  • The mean-field formulation of spatially inhomogeneous Evolutionary Games

Supervision of graduate students

  • current: Alessandro Pinzi
    2022: Giacomo Sodini (co-advised with M. Fornasier)
    2019: Nicolò De Ponti
    2017: Luca Minotti
    2015: Giovanni Bonaschi (co-advised with M. Peletier, Eindhoven)
    2014: Dario Mazzoleni (co-advised with A. Pratelli, Erlangen)
    2011: Luca Natile
    2007: Marco Veneroni
    2006: Stefano Lisini
    2005: Riccarda Rossi
    1998: Simona Sanfelici (co-advised with P. Colli Franzone)

Postoctoral fellows

  • current: Filippo Riva
    2021-2023: Luca Tamanini
    2017-2019: Giulia Cavagnari
    2016-2017: Dario Mazzoleni
    2015-2016: Carlo Orrieri, Matteo Muratori
    2009-2011: Edoardo Mainini
    2007-2008: Daniel Matthes
    2006-2008: Antonio Marigonda

Organization of scientific meetings

  • 2024, 2022, ..., 2008
    Workshops on Optimal Transportation and Applications,
    • Pisa (Co-organizers: L. Ambrosio, G. Buttazzo, N. Gigli)
  • 2024
    Variational Analysis, Models and Methods in Measure Spaces
    • CIRM, Marseille (Co-organizers: B. Bonnet-Weill, M. Fornasier, H. Frankowska)
  • 2024
    Mathematics for Artificial Intelligence and Machine Learning
    • Bocconi University, Milano (Co-organizers: B. Morini, E. De Vito, S. Pieraccini)
  • 2023
    Workshop on Variational and geometric structures for evolution
    • CIRM, Trento (Co-organizers: D. Knees, R. Rossi, M. Thomas)
  • 2023
    Workshop on Workshop on Optimal Transport, Mean-Field Models, and Machine Learning,
    • IAS-TUM, Munich (Co-organizers: M. Burger, M. Fornasier, G. Peyré)
  • 2022
    Contemporary Trends in Kinetic Theory and PDEs
    • Pavia (Co-organizers: J.A. Carrillo, A. Pulvirenti, M. Zanella)
  • 2018
    School on Optimal transport: numerical methods and applications,
    • Lake Como School of Advanced Studies (Co-organizer: F. Santambrogio)
  • 2018
    Workshop Optimal Control and Mean Field Games
    • Pavia (Co-organizers: G. Cavagnari, S. Lisini, C. Orrieri)
  • 2016
    Bimester on Nonlinear Flows
    • Research Centre ESI, Vienna (Co-organizers: E. Feireisl, A. Juengel, A. Mielke, U. Stefanelli)
  • 2014, 2011
    MFO Workshop Variational Methods for Evolution
    • Oberwolfach (Co-organizers: L. Ambrosio, A. Mielke, M. Peletier, F. Otto, U. Stefanelli)
  • 2011
    Conference Analysis and Numerics of PDEs
    • In memory of Enrico Magenes, Pavia
  • 2010
    BIRS Workshop: Rate-independent systems: Modeling, Analysis, and Computations,
    • Banff (Co-organizer: U. Stefanelli)
  • 2008
    CIME Course: Nonlinear Partial Differential Equations and Applications
    • Cetraro (Co-organizer: L. Ambrosio)

Invited presentations to conferences (selection)

  • – MFO Workshop: Applications of Optimal Transportation, Oberwolfach, 2024
    – RISM Congress: PDEs and Continuum Mechanics, Varese, 2024
    – CIRM Workshop: Aggregation-Diffusion Equations and Collective Behavior. Analysis, Numerics and Applications, CIRM, Marseille, 2024
    – ICMS Workshop: Optimal Transport and the Calculus of Variations, Edimburgh, 2023
    – Workshop: The Mathematics of Subjective Probability, Milano, 2023
    – Workshop: Calculus of Variations and Geometric Measure Theory, Pisa, 2023
    – BIRS Workshop: Nonlinear Diffusion and nonlocal Interaction Models - Entropies, Complexity, and Multi-Scale Structures, Granada, 2023
    – Workshop: Frontiers of Numerical PDEs, Maryland, 2023
    – Workshop: Interpolation of Measures, Paris, 2023
    – MFO workshop: Heat Kernels, Stochastic Processes and Functional Inequalities, Oberwolfach, 2022
    – HCM Conference: From Dirichlet Forms to Wasserstein Geometry, Bonn, 2022
    – Workshop Geometric Measure Theory and applications, Cortona, 2021
    – MFO workshop: Applications of Optimal Transportation in the Natural Sciences (online), Oberwolfach, 2021
    – Workshop: Calculus of Variations and Applications, SISSA, Trieste, 2020.
    – XXI Congresso Unione Matematica Italiana, 2019. Plenary Speaker
    – Workshop: Optimal transport and Geometric Analysis, Venice, 2019.
    – ICMS Workshop: Gradient flows: challenges and new directions, Edinburgh, 2018.
    – BIRS workshop: Topics in the Calculus of Variations: Recent Advances and New Trends, Banff, 2018.
    – BIRS workshop: Entropies, the Geometry of Nonlinear Flows, and their Applications, Banff, 2018.
    – MFO workshop: Variational Methods for Evolution Oberwolfach, 2017
    – MFO workshop: Applications of Optimal Transportation in the Natural Sciences Oberwolfach, 2017
    – 7TH European Congress of Mathematics, Berlin: section “Analysis and PDEs”. Invited speaker.
    – MFO workshop: Heat Kernels, Stochastic Processes, and Functional Inequalities, Oberwolfach, 2016.
    – Conference on New trends in Optimal Transport, HIM, Bonn, 2015.
    – BIRS workshop: Entropy Methods, PDEs, Functional Inequalities, and Applications, Banff, 2014.
    – International Conference on Fractal Geometry and Stochastics V, Tabarz, 2014. Plenary speaker.
    – Workshop on Infinite-Dimensional Geometry, MSRI, Berkeley, 2013.
    – EQUADIFF 2013, Prague. Plenary speaker.
    – BIRS Workshop: Optimal Transportation and Differential Geometry Banff, 2012.
    – MFO workshop: Interplay of Analysis and Probability in Physics, Oberwolfach, 2012.
    – MFO mini-workshop: Manifolds with Lower Curvature Bounds, Oberwolfach, 2012.
    – RISM meeting: Multiphase and Multiphysics problems, Verbania (IT), 2011.
    – BIRS workshop: Nonlinear Diffusions and Entropy Dissipation: From Geometry to Biology, 2010.
    – CIRM-HCM Meeting: Stochastic Analysis, SPDEs, Particle Systems, Optimal Transport 2010.
    – Wokshop on Particle systems, nonlinear diffusions, and equilibration, HCM, Bonn, 2007.
    – Workshop on Optimal Transportation, and Applications to Geophysics and Geometry, Edinburgh, 2007.
    – Workshop on Optimal transport: theory and application, Centro De Giorgi, Pisa, 2006.
    – ICMS Workshop: OptimalTransportation, Transport Equations and Hydrodynamics, Edinburgh,2005.
    – 10th Conference on Free Boundary Problems, Coimbra, June 7-12, 2005. Plenary speaker

Invited courses to international advanced schools

  • 2017
    CIME course on New Trends on Analysis and Geometry in Metric Spaces
    • Sobolev Spaces in Extended Metric-Measure Spaces
      Levico Terme, Italy
  • 2015
    Gradient flows and entropy methods
    • The Weighted Energy-Dissipation (WED) principle for gradient flows
      HIM, Bonn
  • 2014
    Analysis and Geometry on Singular Spaces
    • Metric measure spaces with Riemannian Ricci curvature bounded from below
      Scuola Normale Superiore, Pisa
  • 2013
    Seventh Summer School in Analysis and Applied Mathematics
    • Gradient flows and rate independent evolutions: a variational approach
      Roma
  • 2010
    CNA Summer School on "New Vistas in Image Processing and PDEs"
    • Applications of optimal transport to evolutionary PDEs
      Carnegie Mellon University, Pittsburgh
  • 2009
    School on "Optimal transport: Theory and applications"
    • Gradient flows and optimal transport
      Institut Fourier, Grenoble
  • 2008
    EVEQ2008
    • A variational approach to gradient flows and rate independent problems
      Prague
  • 2006
    School in Nonlinear Analysis and Calculus of Variations
    • Gradient flows: a variational approach.
      Scuola Normale Superiore, Pisa