### 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 Hawking-Penrose singularity theorem for C*, with Melanie Graf, Michael Kunzinger and Roland Steinbauer. Preprint arxiv:1706.08426. Submitted for publication.^{1,1}-Lorentzian metrics- Valiente Kroon’s obstructions to smoothness at infinity, with K.P. Tod,
*General Relativity and Gravitation***47**(2015). [ pdf ] - A positive mass theorem for low-regularity Riemannian metrics, with N. Tassotti. Preprint arxiv: 1408.6425. Submitted for publication.
- On differentiability of volume time functions, with P.T. Chruściel and E. Minguzzi,
*Annales Henri Poincaré***17**(2016), 2801-2824. [ pdf ] - Volume comparison for submanifolds in Lorentzian manifolds and singularity theorems, with Jan-Hendrik Treude,
*Annals of Global Analysis and Geometry***43**(2013), 233-251. [ 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 one-sided bound, with A. Burtscher and P.G. LeFloch,
*Communications in Partial Differential Equations***37**(2012), 1596-1619. [ pdf ] - On Galilean connections and the first jet bundle, with B.C. Lackey,
*Central European Journal of Mathematics***10**(2012), 1889-1895. [ pdf ] - Null injectivity estimate under an upper bound on the curvature, with P.G. LeFloch,
*Communications in Analysis and Geometry***22**(2014), 965-996. [ pdf ] - Areas and volumes for null cones,
*Annales Henri Poincaré***12**(2011), 965-985. [ pdf ] - Synthetic geometry and generalised functions, proceedings of the International Conference on Generalized Functions,
*Novi Sad Journal of Mathematics***41**(2011), 75-84. [ pdf ] - Reducible connections and non-local symmetries of the self-dual Yang-Mills equations,
*Communications in Mathematical Physics***296**(2010), 429-446.[ pdf ] - The ADHM construction and non-local symmetries of the self-dual Yang-Mills equations,
*Communications in Mathematical Physics***296**(2010), 405-428.[ pdf ] - Block diagonalisation of four-dimensional metrics, with J.A. Vickers,
*Classical and Quantum Gravity***26**(2009), 235014. [ pdf ] - The wave equation on singular space-times, with E. Mayerhofer and R. Steinbauer,
*Communications in Mathematical Physics***285**(2009), 399-420. [ pdf ] - 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 self-dual Yang-Mills 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. 159-173. [ pdf ]
- Coisotropic variational problems, with E. Musso,
*Journal of Geometry and Physics***50**(2004), 303-338. [ 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), 307-322. [ pdf ] - Grassmann structures and integrable systems,
*Journal of Geometry and Physics***40**(2001), 161-175. [ pdf ] - A spinorial approach to Ricci-flat geometry,
*Classical and Quantum Gravity***16**(1999), 3419-3437. [ pdf ] - Hypercomplex integrable systems, with I.A.B. Strachan,
*Nonlinearity***12**(1999), 1247-1261. [ pdf ] - New Hamiltonians for gravity, with Ian. G. Moss,
*Physical Review***D56**(1997), 6284-6292. [ pdf ] - Lsdiff M and the Einstein equations,
*Classical and Quantum Gravity***13**(1996), L1-L5. [ pdf ] - On self-dual gravity,
*Physical Review***D48**(1993), 2606-2612. [ pdf ] - Cosmic strings and chronology protection,
*Physical Review***D47**(1993), 2388-2394. [ pdf ]

### Additional material (lecture notes, seminar notes, etc)

- A positive mass theorem for low-regularity metrics, with N. Tassotti. Announcement available at arxiv:1205.1302.
- Notes on the initial value problem for the vacuum Einstein equations. Introductory lecture notes, Universität Wien, 2012.
- 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 1. 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 (1997-2002).
- Symplectic and Hyper-Kahler Quotient Constructions. Lecture notes, University of Hull (1997).
- Positive mass theorems in General Relativity. Lecture notes, University of Newcastle (1995).