Publications

2026

  • Sobolev regularity of compactified 3-manifolds and the ADM Center of Mass (Rodrigo Avalos) 
    to appear in: Ann. PDE
    [arXiv:2403.04034]
  • Conformal-biharmonic hypersurfaces in spheres and product spaces (Volker Branding, Stefano Montaldo, Simona Nistor, Cezar Oniciuc and Andrea Ratto) 
    to appear in Ann. Mat. Pura Appl.
    [journal][arXiv:2502.02510]
  • Rigidity theorems for asymptotically Euclidean Q-singular spaces (Rodrigo Avalos, Paul Laurain and Nicolas Marque) 
    Adv. Math. 490 (2026), Paper No. 110850
    [journal]
  • On energy and its positivity in spacetimes with an expanding flat de Sitter background (Rodrigo Avalos, Eric Ling and Annachiara Piubello) 
    Classical Quantum Gravity 43 (2026), no. 9, Paper No. 095006
    [journal]

Preprints

2026

  • Area-constrained Willmore surfaces in Lorentzian manifolds: curvature inequalities and the Hawking quasi-local energy (Alejandro Peñuela Diaz)
    [arXiv:2609.09416]
  • Static spherically symmetric electroweak models with fermions and gravity (Marko Sobak)
    [arXiv:2609.08667]
  • The group of autoequivalences of an exact Courant algebroid as a tame Fréchet Lie group (Jan Niklas Heck) 
    [arXiv:2608.16821]
  • A framework for producing harmonic maps (Volker Branding and Anna Siffert) 
    [arXiv:2607.14857]
  • The energy-momentum tensor of the Standard Model with applications to energy conditions (Volker Branding, Adam Lindström and Marko Sobak) 
    [arXiv:2605.08216]
  • On the conformal-biharmonic stability of the identity map of Einstein manifolds (Volker Branding, Simona Nistor and Cezar Oniciuc) 
    [arXiv:2604.20257]
  • Curvature inequalities and rigidity for constant mean curvature and spacetime constant mean curvature surfaces (Alejandro Peñuela Diaz) 
    [arXiv:2603.16707]
  • Spherically symmetric Dirac-Yang-Mills pairs on Riemannian manifolds (Adam Lindström and Marko Sobak) 
    [arXiv:2602.09122]
  • Uncoupled Dirac-Yang-Mills Pairs on Closed Riemannian Spin Manifolds (Adam Lindström) 
    [arXiv:2601.22886]

2025

  • On the spectrum of the magnetic Dirac operator (Volker Branding, Nicolas Ginoux and Georges Habib) 
    [arXiv:2512.13338]
  • Global critical points of the Standard Model on four-dimensional spacetimes of expanding type (Volker Branding and Marko Sobak) 
    [arXiv:2502.03240]