Published and submitted papers
Below are links to papers that I have published (or am about to publish). The preprint versions, to which there are also links, are generally identical to the published versions, sometimes with minor corrections.
 The future is not always open, with Michael Kunzinger, Clemens Sämann and Roland Steinbauer. Preprint 2019. Submitted for publication. Available at arXiv:1901.07996.
 Inextendibility of spacetimes and Lorentzian length spaces, with Michael Kunzinger and Clemens Sämann. Published online on 10 November 2018 in Annals of Global Analysis and Geometry.
 The HawkingPenrose singularity theorem for C^{1,1}Lorentzian metrics, with Melanie Graf, Michael Kunzinger and Roland Steinbauer, Communications in Mathematical Physics 360 (2018), 10091042. [ pdf ]
 Valiente Kroon's obstructions to smoothness at infinity, with K.P. Tod, General Relativity and Gravitation 47 (2015). [ pdf ]

On differentiability of volume time functions, with P.T. Chruściel and E. Minguzzi, Annales Henri Poincaré 17 (2016), 28012824. [ pdf ]

Volume comparison for submanifolds in Lorentzian manifolds and singularity theorems, with JanHendrik Treude, Annals of Global Analysis and Geometry 43 (2013), 233251. [ pdf ]

On Lorentzian causality with continuous metrics, with P.T. Chruściel, Classical and Quantum Gravity 29 (2012), 145001. [ pdf ]

New energy inequalities for tensorial wave equations on spacetimes that satisfy a onesided bound, with A. Burtscher and P.G. LeFloch, Communications in Partial Differential Equations 37 (2012), 15961619. [ pdf ]

On Galilean connections and the first jet bundle, with B.C. Lackey, Central European Journal of Mathematics 10 (2012), 18891895. [ pdf ]

Null injectivity estimate under an upper bound on the curvature, with P.G. LeFloch, Communications in Analysis and Geometry 22 (2014), 965996. [ pdf ]

Areas and volumes for null cones, Annales Henri Poincaré 12 (2011), 965985. [ pdf ]

Synthetic geometry and generalised functions, proceedings of the International Conference on Generalized Functions, Novi Sad Journal of Mathematics 41 (2011), 7584. [ pdf ]

Reducible connections and nonlocal symmetries of the selfdual YangMills equations, Communications in Mathematical Physics 296 (2010), 429446.
[ pdf ]

The ADHM construction and nonlocal symmetries of the selfdual YangMills equations, Communications in Mathematical Physics 296 (2010), 405428.
[ pdf ]

Block diagonalisation of fourdimensional metrics, with J.A. Vickers, Classical and Quantum Gravity 26 (2009), 235014. [ pdf ]

The wave equation on singular spacetimes, with E. Mayerhofer and R. Steinbauer, Communications in Mathematical Physics 285 (2009), 399420. [ ps ]

Multidimensional integrable systems and deformations of Lie algebra homomorphisms, with M. Dunajski and I.A.B. Strachan, Journal of Mathematical Physics 48 (2007), 093502. [ pdf ]

Symmetries and moduli spaces of the selfdual YangMills equations,
in "Noncommutative Geometry and Physics", Proceedings of the COE International Workshop,
edited by Y. Maeda, N. Tose, N. Miyazaki, S. Watamura and D. Sternheimer (World Scientific, 2005)
pp. 159173. [ pdf ]

Coisotropic variational problems,
with E. Musso,
Journal of Geometry and Physics 50 (2004), 303338. [ pdf ]

Value distribution and spectral theory of Schrödinger operators with L^{2}sparse potentials, with S.V. Breimesser and D.B. Pearson, Journal of Computational and Applied Mathematics 148 (2002), 307322. [ pdf ]

Grassmann structures and integrable systems, Journal of Geometry and Physics 40 (2001), 161175. [ pdf ]

A spinorial Hamiltonian approach to gravity, Classical and Quantum Gravity 16 (1999), 34193437. [ pdf ]

Hypercomplex integrable systems, with I.A.B. Strachan,
Nonlinearity 12 (1999), 12471261. [ pdf ]

New Hamiltonians for gravity, with Ian. G. Moss,
Physical Review D56 (1997), 62846292. [ ps ]

Lsdiff M and the Einstein equations, Classical and Quantum Gravity 13 (1996), L1L5. [ pdf ]

On selfdual gravity, Physical Review D48 (1993), 26062612. [ pdf ]

Cosmic strings and chronology protection,
Physical Review D47 (1993), 23882394. [ ps ]
Additional material (lecture notes, seminar notes, unpublished papers, etc)

A positive mass theorem for lowregularity Riemannian metrics, with N. Tassotti. Preprint arxiv:1408.6425. This paper will never appear, but I am leaving it here as it has been cited.

A positive mass theorem for lowregularity metrics, with N. Tassotti. Announcement, available at arxiv: 1205.1302. This paper will not be published, but I am leaving it here as it has been cited.

Basic notes on the initial value problem for the vacuum Einstein equations. Introductory lecture notes, Universität Wien, 2012.

Basic notes on the conformal method. Introductory lecture notes, Universität Wien, 2012.

Basic notes on wave equations. Introductory lecture notes, Universität Wien, 2012.

Integrable systems and differential geometry. Habilitation thesis, Universität Wien, 2009.

Injectivity radius estimates. Seminar notes (largely educational) Universität Wien, 2009.

Global Lorentzian Geometry 2. Lecture notes, Universität Wien (2008).

Global Lorentzian Geometry 1. Lecture notes, Universität Wien (2007/8).

Fractals and Chaos. Lecture notes, University of Hull (19972002).

Symplectic and HyperKahler Quotient Constructions. Lecture notes, University of Hull (1997).

Positive mass theorems in General Relativity. Lecture notes, University of Newcastle (1995).
Back to homepage