Publications

2026

• Timelike ideal boundary of non-positively curved Lorentzian spaces

  Saúl Burgos, Mauricio Che, Miguel Prados-Abad
  arXiv:2606.02496 [math.MG]

• Positive resolution of Bartnik’s cosmological splitting conjecture

  Robert J. McCann, Argam Ohanyan
  2606.03873 [math.DG]

• The Hawking Singularity Theorem for Hölder Continuous Metrics with \(L^p\)-Bounded Curvature

  Michael Kunzinger, Moritz Reintjes, Roland Steinbauer, Inés Vega-González
  arXiv:2604.27023 [gr-qc]

• Isometries of Spacetimes Without Observer Horizons

  Leonardo García-Heveling, Abdelghani Zeghib
  Commun. Math. Phys. 407, 84 (2026)
  10.1007/s00220-026-05569-6

• Curvature bounds, regularity and inextendibility of spacetimes

  Tobias Beran, John Harvey, Clemens Sämann
  arXiv:2603.20802 [gr-qc]

• Trapped photon region in the phase space of sub-extremal Kerr-Newman and Kerr-Sen spacetimes

  Carla Cederbaum, Karim Mosani
  arXiv:2602.04502 [gr-qc]
  J. Phys.: Conf. Ser. 3177 012026
  10.1088/1742-6596/3177/1/012026

• Gromov-Hausdorff and intrinsic flat convergence of RCD\((K,N)\) and Kato space

  Andrea Mondino, Raquel Perales
  arXiv:2602.03280 [math.DG]

2025

• Proper solutions of the \(1/H\)-flow and the Green kernel of the \(p\)-Laplacian

  Luca Benatti, Luciano Mari, Marco Rigoli, Albert G. Setti, Kai Xu
  arXiv:2512.14591 [math.AP]

• The cosmological volume function

  Leonardo García-Heveling
  arXiv:2512.11626 [gr-qc]

• Conformal transformations of metric spaces and Lorentzian pre-length spaces

  Miguel Manzano, Karim Mosani, Clemens Sämann, Omar Zoghlami
  arXiv:2512.05842 [math.DG]

• The equivalence of isocapacitary notions of mass

  Luca Benatti
  arXiv:2511.11155v1 [math.DG]

• Intrinsic Timed Hausdorff Convergence and Its Implications

  Raquel Perales
  arXiv:2511.18389 [math.DG]

• A Closeness Function on Coarse Grained Lorentzian Geometries

  Sumati Surya
  arXiv:2510.19403v1 [gr-qc]

• Gromov’s Compactness Theorem for the Intrinsic Timed-Hausdorff Distance

  Mauricio Che, Raquel Perales, Christina Sormani
  arXiv:2510.13069 [math.MG]

• A Lorentzian splitting theorem for continuously differentiable metrics and weights

  Mathias Braun, Nicola Gigli, Robert J. McCann, Argam Ohanyan, Clemens Sämann
  arXiv:2507.06836 [math.DG]
  10.48550/arXiv.2507.06836

• Timelike conjugate points in Lorentzian length spaces

  James D.E. Grant, Michael Kunzinger, Argam Ohanyan, Benedict Schinnerl, Roland Steinbauer
  arXiv:2509.12855 [math.DG]

• Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms

  Davide Carazzato, Giulio Pascale, Marco Pozzetta
  arXiv:2507.07686 [math.DG]

• Continuity of critical points for 1-dimensional non-local energies

  Davide Carazzato, Nicola Fusco, Aldo Pratelli
  arXiv:2507.22721 [math.AP]

• Curvature-dimension condition of sub-Riemannian α-Grushin half-spaces

  Samuël Borza, Kenshiro Tashiro
  arXiv:2409.11177 [math.MG]
  Transaction of the London Math. Society Vol 12 (1) 2025
  10.1112/tlm3.70017

• The Penrose singularity theorem, MOTS stability, and horizon topology in weighted spacetimes

  Eric Ling, Argam Ohanyan, Eric Woolgar
  10.48550/arXiv.2510.26675

• Concavity of spacetimes

  Tobias Beran, Darius Erös, Shin-ichi Ohta, Felix Rott
  arXiv:2509.26196 [math.DG]

• Topological cones and positively polarizable hyperbolic norms

  Ethan Kharitonov, Argam Ohanyan
  arXiv:2508.17052 [math.MG]

• Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group

  Samuël Borza, Chiara Rigoni, Omar Zoghlami
  arXiv:2509.06563 [math.DG]

• Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces

  Tobias Beran, Felix Rott
  arXiv:2509.05224 [math.DG]

• The failure of the Ehlers–Kundt conjecture in the impulsive case

  Moriz L. Frauenberger, James D.E. Grant, Roland Steinbauer
  arXiv:2509.24989v1 [math-ph]

• Rigidity aspects of a cosmological singularity theorem

  Eric Ling, Carl Rossdeutscher Walter Simon, Roland Steinbauer
  arXiv:2508.00524[gr-qc]

• Geodesics on Grushin spaces

  Michael Albert, Samuël Borza, Maria Gordina
  arXiv:2509.03411 [math.DG]

• Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux

  Miguel Manzano, Argam Ohanyan, Roland Steinbauer
  arXiv:2508.00231[math-dg]
  Jour. of Geom.and Phys. 218 (12), 2025 105681
  10.1016/j.geomphys.2025.105681

• Null Distance and Temporal Functions

  Andrea Nigri
  arXiv:2507.07158 [math.DG]

• Gromov’s reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry

  Mathias Braun, Clemens Sämann
  arXiv:2506.10852 [math.DG]

• Vacuum Cosmological Spacetimes Without CMC Cauchy Surfaces

  Eric Ling, Argam Ohanyan
  Progress in Lorentzian Geometry, Conference Paper. 2025, pp 231-238
  10.1007/978-3-031-99212-4_13

• Spacetime reconstruction by order and number

  Mathias Braun
  arXiv:2507.01907 [gr-qc]

• Generalized cones admitting a curvature-dimension condition

  Matteo Calisti, Christian Ketterer, Clemens Sämann
  arXiv:2506.02723 [math.DG]

• A synthetic Lorentzian Cartan-Hadamard theorem

  Darius Erös, Sebastian Gieger
  arXiv:2506.22197 [math.MG]

• Particle approximation of nonlocal interaction energies

  Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
  arXiv:2506.02905 [math.AP]
  Nonlinear Analysis 263, Feb 2026, 113974
  10.1016/j.na.2025.113974

• Gradient flows of \((K,N)\)-convex functions with negative \(N\)

  Lorenzo Dello Schiavo, Mattia Magnabosco, Chiara Rigoni
  arXiv:2412.04574 [math.FA]

• Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures

  Samuël Borza, Luca Rizzi
  arXiv:2505.09681 [math.DG]

• Geodesic causality in Kerr spacetimes with \(\vert a\vert\ge M\)

  Giulio Sanzeni, Karim Mosani
  arXiv:2504.17763 [gr-qc]
  Journ. of Geom. and Phys. 216 (2025) 105589
  10.1016/j.geomphys.2025.105589

• Optimal transport on the sub-Lorentzian Heisenberg group

  Samuël Borza, Wilhelm Klingenberg, Patrick Wood
  arXiv:2504.03062 [math.MG]

• Distributional sectional curvature bounds for Riemannian metrics of low regularity

  Darius Erös, Michael Kunzinger, Argam Ohanyan, Alessio Vardabasso
  arXiv:2503.17337 [math.DG]

• Quantum Geometry of the Light Cone: Fock representation and Spectrum of Radiated Power

  Wolfgang Wieland
  arXiv:2504.10802 [gr-qc]

• On the Hauptvermutung of Causal Set Theory

  Olaf Müller
  arXiv:2503.01719 [math.DG]

• Hawking’s singularity theorem for Lipschitz Lorentzian metrics

  Matteo Calisti, Melanie Graf, Eduardo Hafemann, Michael Kunzinger, Roland Steinbauer
  arXiv:2501.18450 [math.DG]
  Comm. Math. Phys. (2025) 406:20
  10.1007/s00220-025-05380-9

• Splitting theorems for weighted Finsler spacetimes via the \(p\)-d’Alembertian: beyond the Berwald case

  Erasmo Caponio, Argam Ohanyan, Shin-ichi Ohta
  arXiv:2412.20783 [math.DG]

• A nonlinear d’Alembert comparison theorem and causal differential calculus on metric measure spacetimes

  Tobias Beran, Mathias Braun, Matteo Calisti, Nicola Gigli, Robert J. McCann, Argam Ohanyan, Felix Rott, Clemens Sämann
  arXiv:2408.15968 [math.DG]

• Marginally outer trapped tubes in de Sitter spacetime

  Marc Mars, Walter Simon, Roland Steinbauer, Carl Rossdeutscher
  arXiv:2407.10602 [gr-qc]
  Lett. Math. Phys. 114, 141 (2024)
  10.1007/s11005-024-01884-y

• Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics

  Michael Kunzinger, Argam Ohanyan, Alessio Vardabasso
  arXiv:2406.06762 [math.DG]
  Manusc. Mathem. 176, 53 (2025)
  10.1007/s00229-025-01655-6

• An elliptic proof of the splitting theorems from Lorentzian geometry

  Mathias Braun, Nicola Gigli, Robert J. McCann, Argam Ohanyan, Clemens Sämann
  arXiv:2410.12632 [math.DG]

• The equivalence of smooth and synthetic notions of timelike sectional curvature bounds

  Tobias Beran, Michael Kunzinger, Argam Ohanyan, Felix Rott
  Proc. Amer. Math Soc. 153 (2025) 783-797
  10.1090/proc/17022

• Hawking-type singularity theorems for worldvolume energy inequalities

  Graf, M., Kontou, E.-A., Argam Ohanyan, A., Schinnerl, B.
  Commun. Math. Phys. 391 (2022), no. 3,11431179
  10.1007/s00023-024-01502-6

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