Associate Professor, Università dell'Aquila

Email: mario.santilli AT univaq.it

Available papers (15):

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• M. Santilli - P. Valentini (Proc. Roy. Soc. Edinburgh Sect. A)
  Alexandrov sphere theorems for $ W^{2,n} $-hypersurfaces (2025)
• M. Santilli - S. Kolasiński (Submitted Paper)
  Quadratic flatness and Regularity for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature (2025)
• M. Santilli (Int. Math. Res. Not. IMRN)
  Finite total curvature and soap bubbles with almost constant higher-order mean curvature (2024)
• F. Maggi - M. Santilli (preprint)
  Rigidity and compactness with constant mean curvature in warped product manifolds (2023)
• S. Kolasiński - M. Santilli (Math. Ann.)
  Regularity of distance functions from arbitrary closed sets (2023)
• M. Santilli - B. Schmidt (Journal de Mathématiques Pures et Appliquées)
  A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions (2023)
• M. Santilli - B. Schmidt (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
  Two phase models for elastic membranes with soft inclusions (2023)
• D. Hug - M. Santilli (Advances in Mathematics)
  Curvature measures and soap bubbles beyond convexity (2022)
• M. Santilli (Comm. Partial Differential Equations)
  Distance functions with dense singular sets (2021)
• M. Santilli (Calc. Var. Partial Differential Equations)
  Second order rectifiability of varifolds of bounded mean curvature (2021)
• A. De Rosa - S. Kolasiński - M. Santilli (Arch. Ration. Mech. Anal.)
  Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets (2020)
• M. Santilli (Bull. Math. Sci.)
  Normal bundle and Almgren’s geometric inequality for singular varieties of bounded mean curvature (2020)
• M. Santilli (Ann. Mat. Pura Appl.)
  Fine properties of the curvature of arbitrary closed sets (2020)
• U. Menne - M. Santilli (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5))
  A geometric second-order-rectifiable stratification for closed subsets of Euclidean space (2019)
• M. Santilli (Indiana Univ. Math. J)
  Rectifiability and approximate differentiability of higher order for sets (2019)

Seminars:

• 26 nov 2025: Rectifiability and regularity for codimension-one varifolds of bounded anisotropic mean curvature

Speaker:

• 8 jun 2026 - 12 jun 2026: International geometric analysis conference in Milan II
• 14 sep 2022 - 15 sep 2022: Another Pisan workshop in Geometric Analysis