I have moved, my new website is here.

I am a Junior Research Fellow at Magdalene College, Cambridge. I am also affiliated with the Department of Pure Mathematics and Mathematical Statistics. In 2014, I finished my PhD under the supervision of Mihalis Dafermos.

My office is E1.14 in the Centre of Mathematical Sciences and I can be emailed at jjs48 {@} cam.ac.uk.

General Relativity, Lorentzian Geometry, and Partial Differential Equations

- On the Existence of a Maximal Cauchy Development for the Einstein Equations - a Dezornification, in Annales Henri Poincaré, Vol. 17 (2016), Issue 2, 301-329
- Characterisation of the Energy of Gaussian Beams on Lorentzian Manifolds - with Applications to Black Hole Spacetimes, in Analysis & PDE, Vol. 8 (2015), No. 6, 1379–1420
- The C^0-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry, to appear in the Journal of Differential Geometry
- (with J. Luk) Instability results for the wave equation in the interior of Kerr black holes, in Journal of Functional Analysis, Vol. 271 (2016), Issue 7, 1948-1995
- (with G. Galloway and E. Ling) Timelike completeness as an obstruction to C^0-extensions, preprint

- On the initial value problem in general relativity and wave propagation in black-hole spacetimes, available on DSpace

- Advances in General Relativity, Erwin Schrödinger Institute, Vienna, 28.08.-01.09.2017
- Non-regular spacetime geometry, Centro Didattico Capponi, Florence, 20.06.-22.06.2017
- Seminar on Mathematical General Relativity, Institut des Hautes Études Scientifiques, Paris, 22.05.2017
- DPG Spring Meeting, Bremen University, Bremen, 13.03.-17.03.2017
- Colloquium, University of Miami, 7.12.2016
- Geometric Analysis and General Relativity, Banff International Research Station, 17.-22.07.2016
- Seminar, Chinese University of Hong Kong, Hong Kong, 27.06.2016
- Partial differential equations seminar, Instituto Superior Técnico, Lisbon, 30.05.2016
- Geometry seminar, University of Leeds, 28.10.2015
- Hyperbolic Equations on Spacetimes: Stability, microlocal Analysis and Quantum Field Theory, Erwin Schrödinger Institute, Vienna, 07.-11.09.2015
- Mathematical Aspects of General Relativity, Mathematisches Forschungsinstitut Oberwolfach, 12.-18.07.2015
- Singularities in General Relativity, Fields Institute, Toronto, 15.-19.06.2015
- Analysis Seminar, University of Warwick, 14.05.2015
- Oxbridge PDE Conference, University of Oxford, 23.-24.03.2015
- Differential Geometry and General Relativity Seminar, KTH, Stockholm, 9.12.2014
- Pure Analysis and PDE Seminar, Imperial College, London, 28.11.2014
- Geometry and Analysis Seminar , Imperial College, London, 27.11.2014
- The London Relativity and Cosmology Seminar , Queen Mary University, London, 26.11.2014
- Seminar on Mathematical General Relativity, Université Pierre et Marie Curie, Paris, 25.06.2014
- Geometric Analysis and Partial Differential Equations Seminar, University of Cambridge, 12.05.2014
- General Relativity Seminar, University of Cambridge, 15.03.2013

- The C^0-inextendibility of the Schwarzschild spacetime, Banff International Research Station, 22.07.2016