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Publications and preprints

Publications

  • The equivalence of smooth and synthetic notions of timelike sectional curvature bounds, with M. Kunzinger, A. Ohanyan, F. Rott arxiv; Proc. Am. Math. Soc., doi: 10.1090/proc/17022
  • Bonnet-Myers rigidity theorem for globally hyperbolic Lorentzian length spaces arxiv; Proc. Roy. Soc. Edinb., doi: 10.1017/prm.2024.129
  • On curvature bounds in Lorentzian length spaces, with M. Kunzinger, F. Rott arxiv; J. Lond. Math. Soc., II. Ser. ,doi: 10.1112/jlms.12971
  • Alexandrov's Patchwork and the Bonnet-Myers Theorem for Lorentzian length spaces, with L. Napper, F. Rott arxiv; Trans. Am. Math. Soc., Ser. B, doi: 10.1090/tran/9372
  • The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature, with A. Ohanyan, F. Rott, D. Solis arxiv; Lett. Math. Phys., doi: 10.1007/s11005-023-01668-w
  • Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds, with C. Sämann arxiv; J. Lond. Math. Soc., II. Ser., doi: 10.1112/jlms.12726
  • Gluing constructions for Lorentzian length spaces, with F. Rott arxiv; Manuscr. Math., doi: 10.1007/s00229-023-01469-4

Preprints

  • Characterizing intrinsic Lorentzian length spaces via τ-midpoints, with F. Rott arxiv
  • A Toponogov globalisation result for Lorentzian length spaces, with J. Harvey, L. Napper, F. Rott arxiv

Conferences / Workshops I talked on

  • XI International Meeting on Lorentzian Geometry, on Bonnet-Myers Rigidity for Lorentzian length spaces
  • Singularities and Curvature in General Relativity, Poster Bonnet-Myers Rigidity for Lorentzian length spaces.
  • Workshop on Mathematical Relativity, Scalar Curvature and Synthetic Lorentzian Geometry, on Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds. Watch