Dr Dan J Hill
Researcher in Mathematics
Greetings!
​
My name is Dan and welcome to my website!
​
I am a researcher in applied mathematics with an interest in Dynamical Systems and PDEs.
​
As of September 2025 I will be a Hooke Research Fellow at the University of Oxford in the Oxford Centre for Industrial and Applied Mathematic (OCIAM)
​​
I completed my PhD project under the supervision of Prof David J.B. Lloyd and Dr Matthew Turner at the University of Surrey, before obtaining an Alexander von Humboldt Fellowship at Saarland University with Prof Mark Groves.
Publications
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