Sam C. Collingbourne

Research

My research is in Mathematical General Relativity. In particular, my research focusses the stability problem for black holes. My Ph.D. thesis was on the Gregory--Laflamme instability of the 5D Schwarzschild black string and the construction use of conservation laws in linearised gravity. In the latter, I studied the linear stability of the Schwarzschild black hole using the 'Canonical Energy' of Hollands and Wald.

Research Papers

• The Gregory--Laflamme Instability
• A mathematical description of the spin Hall effect of light in inhomogeneous media with Marius A. Oancea and Jan Sbierski
• Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity with Marios Aperotaie and Elena Giorgi
• Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity with Gustav Holzegel
• Coercivity Properties of the Canonical Energy in Double Null Gauge
• Ph.D. Thesis: The Gregory--Laflamme Instability and Conservation Laws for Linearised Gravity
• The Gregory--Laflamme Instability of the Schwarzschild Black String Exterior (See here for a Scilight review article by Matthew Ishimaru)
• Resilient Entangling Gates for Trapped Ions with Florian Mintert, A.E.Webb, S.C.Webster, D.Bretaud, A.M.Lawrence, S.Weidt, and W.K.Hensinger