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Dr Dan J Hill


Researcher in Mathematics

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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.

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), doipreprint

D.J. Hill, "Existence of localised radial patterns in a model for dryland vegetation", IMA J. Appl. Math. (2022), doipreprint

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

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