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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

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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