Publications

2026

• \(C^0\)-inextendibility of a class of Vaidya spacetimes

  Karim Mosani, Clemens Sämann, Kharanshu N. Solanki
  arXiv:2611.02133 [gr-qc]

• Almost-splitting of spacetimes under timelike sectional curvature bounds

  Nicola Gigli, Melanie Graf, Robert J. McCann, Argam Ohanyan, Eric Woolgar, Matteo Zanardini
  arXiv:2610.10051 [math.DG]

• Causal Sobolev spaces and gradient flows

  Mathias Braun, Nicola Gigli, Robert McCann, Simone Vincini
  arXiv:2610.21775 [math.AP]

• Doubling, Poincaré and Gromov-Hausdorff precompactness for tamed spaces

  Mathias Braun, Chiara Rigoni, Christian Rose, David Tewodrose
  arXiv:2610.11478 [math.MG]

• Generalized minimizers for the capillarity energy outside convex obstacles

  Gabriele Nani, Simone Vincini
  arXiv:2610.18673 [math.AP]

• Orientability of metric manifolds and metric spaces with curvature bounds

  Nicola Cavallucci, Denis Marti, Andrea Mondino, Raquel Perales
  arXiv:2610.03968 [math.DG]

• The Hawking and Penrose singularity theorems for low regularity Finsler spacetimes

  Darius Erös, Ettore Minguzzi, Argam Ohanyan, Shin-ichi Ohta
  arXiv:2610.11911 [math.DG]

• Doubling for chronological diamonds in Lorentzian geometry

  Mauricio Che, Sebastian Gieger, Clemens Sämann
  arXiv:2607.21423 [math.DG]

• One thousand and one higher-order geometric flows of networks

  Luca Benatti, Alessandra Pluda
  arXiv:2607.13894 [math.AP]

• Topological Obstructions to Riemannian-Lorentzian Continuation

  Nathalie E. Rieger, Ödül Tetik
  arXiv:2609.27136 [math.DG]

• An isoperimetric characterization of a new ADM-like mass for \(C^0\)-asymptotically flat manifolds

  Luca Benatti, Mattia Fogagnolo
  arXiv:2608.27103 [math.DG]

• Comparison theory for Lipschitz spacetimes

  Mathias Braun, Marta Sálamo Candal
  arXiv:2603.24195 [math.DG]

• Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime

  Nicola Gigli, Argam Ohanyan, Marco Picerni, Zhe-Feng Xu, Matteo Zanardini
  arXiv:2608.04718 [math.DG]

• Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs

  Argam Ohanyan, Marta Sálamo Candal
  arXiv:2604.22538 [math.DG]

• Null distance on cosmological spacetimes and monotone convergence

  Miguel Prados-Abad, Omar Zoghlami
  arXiv:2607.20063 [math.DG]

• Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group

  Samuël Borza, Andrea Pinamonti, Omar Zoghlami
  arXiv:2605.31397 [math.DG]

• Pyramids and Extended Metric Measure Spaces

  Nicola Gigli, Kohei Suzuki, Simone Vincini
  arXiv:2607.26626 [math.MG]

• Total curvature and length estimates for timelike curves in Lorentzian length spaces

  Darius Erös, Felix Rott, Zhe-Feng Xu
  arXiv:2606.17834 [math.DG]

• On the Conicality of Spacetimes

  Eric Ling, Claudio F. Paganini
  arXiv:2606.04643 [math-ph]

• \(C^0\)-inextendibility of a class of warped-product black hole spacetimes

  Karim Mosani
  arXiv:2606.25755 [math.DG]

• Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations

  Gregory J. Galloway, Robert J. McCann, Argam Ohanyan
  arXiv:2606.21997 [math.DG]

• Spacetimes via Continuous posets: Old foundations and new developments

  Ettore Minguzzi
  arXiv:2608.19502 [gr-qc]

• Timelike ideal boundary of non-positively curved Lorentzian spaces

  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]

• Ollivier-Ricci Curvature for Causal Sets

  Joe Barton, Samuël Borza, Jona Röhrig
  arXiv:2606.04910 [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]

• Convergence of Timed-Metric Spaces and Causality

  Mauricio Che, Raquel Perales
  arXiv:2604.22362 [math.MG]

• Space of Timelike Directions and Curvature Bounds

  Joe Barton, Jona Röhrig
  arXiv:2603.06458 [math.MG]

• On the affine parametrization of null geodesics in low regularity

  Saúl Burgos, Leonardo García-Heveling, Melanie Graf
  2608.24609 [math.DG]

• 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

• A Splitting Theorem for non-positively curved Lorentzian spaces

  Joe Barton, Tobias Beran, Mauricio Che, Sebastian Gieger, Jona Röhrig, Felix Rott
  arXiv:2601.14058 [math.DG]

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

  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]
  EMS Press, Annales de lÍnstitut Henri Poincaré C1. Oct. 2026, online
  10.48550/arXiv.2512.14591

• Horizon Data: Existence Results and a Near-Horizon Equation on General Null Hypersurfaces

  Miguel Manzano, Marc Mars
  arXiv:2512.01670 [gr-qc]

• Differentiability and other properties of the cosmological volume function

  Leonardo García-Heveling
  arXiv:2512.11626 [gr-qc]
  Lett Math Phys 116, 71 (2026)
  10.1007/s11005-026-02112-5

• 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]

• Lorentzian Cheeger-Gromov convergence and temporal functions

  Saúl Burgos, José L. Flores, Miguel Sánchez
  arXiv:2508.15441 [math.DG]

• 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

• Upper Bounding Hilbert Space Dimensions which can Realize all the Quantum Correlations

  Yasamin Panahi, Maria Ciudad Alañón, Daniel Centeno, Ralph Jason Costales, Luca Mrini, Soham Bhattacharyya, Elie Wolfe
  arXiv:2505.20519 [quant-ph]

• 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]

• The causal structure of the c-completion of warped spacetimes

  Luis Aké Hau, Saúl Burgos, Didier A. Solis
  arXiv:2509.24392 [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]
  Trans. Amer. Math. Soc. Ser. B, 13:132–155, 2026
  10.1090/btran/248

• 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

  Melanie Graf, Eleni Alexandra Kontou, Argam Ohanyan, Benedict Schinnerl
  Commun. Math. Phys. 391 (2022), no. 3,11431179
  10.1007/s00023-024-01502-6

• Non Hilbertian (Lorentzian) Length Spaces

  Jona Röhrig
  arXiv:2407.19595 [math.DG]

• The \(C^0\)–inextendibility of some spatially flat FLRW spacetimes

  Eric Ling
  arXiv:2404.08257 [gr-qc]

---