Prof Kim is interested in complexity, self-organisation and non-equilibrium processes. Self-organisation is a novel property of complex systems where ordered collective behaviour emerges on a macroscale, which provides a unifying theory for many systems that are constantly changing in time and space. Prof. Kim aspires to understand fundamental mechanisms underpinning complexity (e.g. turbulence, chaos) and the regulation of such complexity into coherent structures (e.g. shear flows), and mechanisms for the breakdown of self-organisation in different systems. She pursues both theory and applications. On the theoretical front, she develops (non-equilibrium) statistical theory (e.g. using probability density function, path integrals, stochastic differential equations, fractional calculus), in particular, a new geometric/information approach, to unify different non-equilibrium processes. On the application front, in the laboratory and astrophysical plasmas, she works on turbulence, mixing, momentum transport, dynamos, magnetic activities and diffusion, fluid dynamics, magnetohydrodynamic turbulence, confinement of fusion plasmas, transport barrier dynamics and the evolution of solar magnetic fields and rotation; in biosystems, homeostasis and its breakdown (tumour, heart rhythm). Her interest in biosystems was sparked not only by the much similarity between biosystems and plasmas/fluids in view of complexity and self-organisation but also by their highly nonlinear/multiscale nature, which she can take advantage of as an excellent framework to develop a new mathematical theory and test against experiments. In particular, Pro. Kim is keen on the information thery (information length) to model complexity and self-organisation in nonlinear dynamical systems, fluid/plasma turbulence, and biosystems.

*Supervision of postdocs: Nicolas Leprovost: 16/10/2005-31/03/2008 on PPARC (University of Sheffield); Nicolas Leprovost: 01/04/2008-30/08/2010 on STFC (University of Sheffield); Johan Anderson: 20/03/2007-19/09/2009 on EPSRC (University of Sheffield); Andrew P. Newton: 01/03/2011-30/06/2012 on STFC (University of Sheffield).

*Supervision of PhD Students: Andrew P. Newton (PhD in 2010, University of Sheffield); Jamie Douglas (PhD in 2011, University of Sheffield); Schuyler Nicholson (PhD in 2015, University of Sheffield); Mabruka Mohamed (PhD in 2015, University of Sheffield); Aditi Sood (PhD in 2015, University of Sheffield); Avan Al-Saffar (PhD in 2018, University of Sheffield); Laminu Idris (Ph D in 2022, University of Sheffield); James Heseltine (since 2018); Adrian J Guel C (PhD in 2013, Coventry University); Partrick Fuller (since 2020); Nicholas Pearce (since 2020); Abhiram Thiruthummal (since 2021); Heng Jie Choong (since 2021); Ishara Bandara (since 2022); Luthais McCash (since 2022)