Email: cbrena AT ias.edu

Home-page: https://sites.google.com/view/camillobrena

arxiv id: https://orcid.org/0000-0001-5257-7889

Available papers (21):

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• C. Brena - C. De Lellis - F. Franceschini (preprint)
  $C^\infty$ rectifiability of stationary varifolds (2025)
• C. Brena - S. Decio - C. De Lellis (preprint)
  Remarks and Conjectures on Stationary Varifolds (2025)
• C. Brena (preprint)
  Perelman's entropy and heat kernel bounds on RCD spaces (2025)
• C. Brena (preprint)
  Instability of the fundamental group for non-collapsed Ricci-limits (2025)
• C. Brena - S. Decio (preprint)
  Unique continuation for area minimizing currents (2024)
• C. Brena (Ph.D. Thesis)
  Functions of bounded variation on RCD spaces (2024)
• C. Brena - E. Bruè - A. Pigati (preprint)
  Lower Ricci Curvature Bounds and the Orientability of Spaces (2024)
• C. Brena - F. Nobili - E. Pasqualetto (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
  Maps of bounded variation from PI spaces to metric spaces (2023)
• C. Brena - A. Pinamonti (Accepted Paper: Commun. Anal Geom)
  Nguyen's approach to Sobolev spaces in metric measure spaces with unique tangents (2023)
• C. Brena - N. Gigli (Potential Anal.)
  Fine representation of Hessian of convex functions and Ricci tensor on RCD spaces (2023)
• C. Brena - N. Gigli (Nonlinear Analysis)
  About the general chain rule for functions of bounded variation (2023)
• L. Ambrosio - C. Brena - S. Conti (Arch. Ration. Math. Anal.)
  Functions with bounded Hessian-Schatten variation: density, variational and extremality properties (2023)
• G. Antonelli - C. Brena - E. Pasqualetto (Accepted Paper: Analysis & PDE)
  The Rank-One Theorem on $\mathrm{RCD}$ spaces (2022)
• C. Brena - E. Pasqualetto - A. Pinamonti (Accepted Paper: Communications in Contemporary Mathematics)
  Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time behaviour of the heat kernel (2022)
• L. Ambrosio - S. Aziznejad - C. Brena - M. Unser (Calc. Var. PDE)
  Linear Inverse Problems with Hessian-Schatten Total Variation (2022)
• C. Brena - N. Gigli (The Journal of Geometric Analysis)
  Calculus and fine properties of functions of bounded variation on RCD spaces (2022)
• G. Antonelli - C. Brena - E. Pasqualetto (Annals of Global Analysis and Geometry)
  Subgraphs of $\rm BV$ functions on $\rm RCD$ spaces (2022)
• C. Brena - N. Gigli (Journal of Functional Analysis)
  Local vector measures (2022)
• C. Brena - N. Gigli - S. Honda - X. Zhu (J. Reine Angew. Math. (Crelle's Journal))
  Weakly non-collapsed RCD spaces are strongly non-collapsed (2021)
• L. Ambrosio - C. Brena (Discrete Contin. Dyn. Syst.)
  Stability of a class of action functionals depending on convex functions (2021)
• C. Brena - D. Campbell (Adv. Calc. Var.)
  BV and Sobolev homeomorphisms between metric measure spaces and the plane (2021)

Speaker:

• 5 sep 2024 - 7 sep 2024: A Pisan workshop in Geometric Analysis