$fractal_edited.jpg$

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.

I am currently an Alexander von Humboldt Postdoctoral Fellow at Saarland University with Prof Mark Groves.

I completed my PhD project under the supervision of Prof David J.B. Lloyd and Dr Matthew Turner at the University of Surrey.

Research Interests

In the broadest terms, my research is focused on the application of dynamical systems to physical and biological problems.

I am particularly interested in the study of localised patterns in continuum models.

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

Contact