5 papers
The Kähler-Einstein metric on the third Del Pezzo surface
Timothy Buttsworth, William Hadden, Elli Heyes +2
The compact four-dimensional manifold is known to admit a toric Kähler-Einstein metric , but the metric is not known in c…
An isoperimetric problem for Fourier zeros of centrally symmetric convex bodies
Javier Gómez-Serrano, Michael Levitin, Daniel Platt +1
Given a centrally symmetric convex body, consider the zero set of the Fourier transform of its characteristic function. We study how large the distance from this set to the origin…
Non-uniqueness and symmetries for the Nirenberg problem using computer assistance
Daniel Platt
We apply verified numerics to the Nirenberg problem, proving that a genuine solution exists near two given computer-generated approximate solutions. This proves existence of a solu…
Local uniqueness of the Black String with small circle size
Emma Albertini, Daniel Platt
In this article we study uniqueness of the Black String, i.e. the product of 4-dimensional Schwarzschild space with a circle of length L. In arXiv:2410.20967, this was reduced to a…
Towards a uniqueness theorem for static black holes in Kaluza-Klein theory with small circle size
Emma Albertini, Daniel Platt, Toby Wiseman
Kaluza-Klein theory, by which we mean vacuum gravity in 5-dimensions, with asymptotics that are a product of a circle with Minkowski spacetime, has a variety of different static bl…