Full Professor, Università degli Studi di Trento

Email: lorenzo.mazzieri AT unitn.it

Home-page: https://sites.google.com/site/mazzierihome

Available papers (26):

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• L. Benatti - M. Fogagnolo - L. Mazzieri (Analysis & PDE)
  Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature (2024)
• V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
  A new proof of the Riemannian Penrose inequality (2023)
• L. Benatti - M. Fogagnolo - L. Mazzieri (SIGMA)
  Nonlinear isocapacitary concepts of mass in nonnegative scalar curvature (2023)
• M. Fogagnolo - L. Mazzieri (Accepted Paper: Journal of Functional Analysis)
  Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds (2022)
• L. Benatti - M. Fogagnolo - L. Mazzieri (Mathematische Annalen)
  The asymptotic behaviour of $p$-capacitary potentials in Asymptotically Conical manifolds (2022)
• V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio (Submitted Paper)
  Riemannian Penrose Inequality via Nonlinear Potential Theory (2022)
• M. Fogagnolo - A. Malchiodi - L. Mazzieri (Journal of Geometric Analysis)
  A note on the critical Laplace Equation and Ricci curvature (2022)
• L. Benatti - M. Fogagnolo - L. Mazzieri (Accepted Paper: Communications on Pure and Applied Mathematics)
  On the Isoperimetric Riemannian Penrose Inequality (2022)
• V. Agostiniani - L. Mazzieri - F. Oronzio (Mathematics in Engineering)
  A geometric capacitary inequality for sub--static manifolds with harmonic potentials (2021)
• V. Agostiniani - L. Mazzieri - F. Oronzio (Accepted Paper: Communications in Mathematical Physics)
  A Green's function proof of the positive mass theorem (2021)
• S. Borghini - L. Mazzieri (Communications in Mathematical Physics)
  On the mass of static metrics with positive cosmological constant - II (2020)
• V. Agostiniani - M. Fogagnolo - L. Mazzieri (Archive for Rational Mechanics and Analysis)
  Minkowski Inequalities via Nonlinear Potential Theory (2019)
• S. Borghini - L. Mazzieri (Contemporary Research in Elliptic PDE's and Related Topics)
  Monotonicity formulas for static metrics with non-zero cosmological constant (2019)
• M. Fogagnolo - L. Mazzieri - A. Pinamonti (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Geometric aspects of p-capacitary potentials (2018)
• V. Agostiniani - M. Fogagnolo - L. Mazzieri (Inventiones Mathematicae)
  Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature (2018)
• G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (Pacific J. Math.)
  The Ricci-Bourguignon Flow (2017)
• S. Borghini - L. Mazzieri (Classical and Quantum Gravity)
  On the mass of static metrics with positive cosmological constant - I (2017)
• S. Borghini - G. Mascellani - L. Mazzieri (Transactions of the American Mathematical Society)
  Some Sphere Theorems in Linear Potential Theory (2017)
• G. Catino - L. Mazzieri (Nonlinear Anal.)
  Gradient Einstein solitons (2016)
• G. Catino - C. Mantegazza - L. Mazzieri (Math. Ann.)
  A Note on Codazzi Tensors (2015)
• G. Catino - C. Mantegazza - L. Mazzieri (Analysis & PDE)
  Locally Conformally Flat Ancient Ricci Flows (2015)
• G. Catino - L. Mazzieri - S. Mongodi (Comm. Cont. Math.)
  Rigidity of gradient Einstein shrinkers (2015)
• H. D. Cao - G. Catino - Q. Chen - C. Mantegazza - L. Mazzieri (Calc. Var. Partial Differential Equations)
  Bach-Flat Gradient Steady Ricci Solitons (2014)
• G. Catino - L. Mazzieri (J. Geom. Anal.)
  Connected sum construction for sigma$_k$-Yamabe metrics (2013)
• G. Catino - C. Mantegazza - L. Mazzieri - M. Rimoldi (J. Reine Angew. Math. (Crelle's Journal))
  Locally Conformally Flat Quasi-Einstein Manifolds (2013)
• G. Catino - C. Mantegazza - L. Mazzieri (Commun. Contemp. Math.)
  On the Global Structure of Conformal Gradient Solitons with Nonnegative Ricci Tensor (2012)

Seminars:

• 14 oct 2020: Serrin-type theorems for domains with disconnected boundary.
• 7 may 2014: A geometric approach to some overdetermined problems in potential theory
• 25 jan 2012: Gradient Einstein solitons

Speaker:

• 23 jun 2025 - 27 jun 2025: Topics in Geometric Analysis
• 12 sep 2024 - 13 sep 2024: DIFFERENTIAL EVOLUTIVE PROBLEMS IN SPACES WITH SINGULARITIES
• 4 jun 2018 - 8 jun 2018: Recent advances in Geometric Analysis
• 20 feb 2017 - 24 feb 2017: France-Italy meeting in Geometric Analysis

Organizer:

• 14 jul 2025 - 18 jul 2025: PRIN school on Geometry and Gravity
• 29 aug 2022 - 31 aug 2022: Three days between Analysis and Geometry in Trento