Dr Dan J Hill
Researcher in Mathematics
My name is Dan and welcome to my website!
I am a researcher in applied mathematics with an interest in Dynamical Systems and PDEs.
I completed my PhD project under the supervision of Prof David J.B. Lloyd and Dr Matthew Turner at the University of Surrey, and I am currently a post-doc at Saarland University with Prof Mark Groves.
I will be a Humboldt Research Fellow at Saarland University from the beginning of July 2023.
D.J. Hill, D.J.B. Lloyd & M.R. Turner, "Localised radial patterns on the free surface of a ferrofluid", J. Nonlinear Sci 31, 79 (2021), doi, preprint
D.J. Hill, "Existence of localised radial patterns in a model for dryland vegetation", IMA J. Appl. Math. (2022), doi, preprint
D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, "Approximate localised dihedral patterns near a Turing instability" (2022), preprint
D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, "Dihedral rings of patterns emerging from a Turing instability", (2022), preprint