Publications and Preprints

Publications:

• A geometric capacitary inequality for sub–static manifolds with harmonic potentials (with V. Agostiniani and L. Mazzieri)          
  Math. Eng. 4, 2022, no. 2, Paper No. 013, 40 pp.
• A Green’s function proof of the positive mass theorem (with V. Agostiniani and L. Mazzieri) 
  Comm. Math. Phys 405, 2024, no. 2, Paper No. 54, 23 pp.
• A new proof of the Riemannian Penrose inequality (with V. Agostiniani, C. Mantegazza and L. Mazzieri) 
  Atti Accad. Naz. Lincei–Rend. Lincei Mat. Appl. 34, 2023, no. 3, 715–726.
• ADM mass, area and capacity in asymptotically flat 3–manifolds with nonnegative scalar curvature, 
  Commun. Contemp. Math., https://doi.org/10.1142/S0219199725500117.

Preprints:

• Riemannian Penrose inequality via nonlinear potential theory (with V. Agostiniani, C. Mantegazza and L. Mazzieri), 2022, https://arxiv.org/abs/2205.11642
• A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D (with V. Julin, M. Morini and E. Spadaro), 2024, https://arxiv.org/abs/2406.17691
• A Note on Ricci–pinched three–manifolds (with L. Benatti, C. Mantegazza and A. Pluda), 2024, https://arxiv.org/abs/2409.05078
• Nonlinear potential theory and Ricci–pinched 3–manifolds (with L. Benatti, A. León Quirós and A. Pluda), 2024, https://arxiv.org/abs/2412.20281