Professor Wing Tat Leung and Professor Moritz Reintjes from the Department of Mathematics of the College of Science at CityUHK received the Hong Kong Mathematical Society (HKMS) Young Scholars Award.

Professor Leung was recognised for his contributions to the study of numerical methods for multiscale partial differential equations. He has made significant contributions to multicontinuum homogenisation, a crucial methodology for modelling flow and transport in fractured and porous media with complex internal structures. His work in this area combines theoretical rigour with algorithmic innovation, allowing for the systematic derivation and numerical approximation of effective equations that preserve fine-scale dynamics at the coarse scale. These contributions have been instrumental in developing accurate models for systems where standard homogenisation techniques fall short.

Professor Reintjes was recognised for his contributions to the study of singularities in General Relativity and Geometry, and the discovery of the RT (regularity transformation)-equations in collaboration with Blake Temple (UC Davis, USA). The question whether a singularity is truly geometric or removable has been one of the great intellectual challenges in Geometry since Albert Einstein introduced the theory of General Relativity in 1915. Based on the RT-equations, Reintjes and Temple gave a necessary and sufficient condition for when a singularity in a geometry is removable, together with a computable procedure for removing it. This applies to cusp and shock wave singularities, both obstacles to numerical simulation. The question how to extend the theory of the RT-equations to more severe singularities, such as those at black hole horizons, is subject of their current research program. The RT-equations also formed the basis of their recent extension of Uhlenbeck's celebrated compactness theorem (Abel and Steele Prize) from static Riemannian geometry to the dynamical geometries of Relativity.

HKMS Young Scholars Award is presented annually by a panel of international experts to up to three Hong Kong based scholars under the age of 45 years to recognise their scientific achievements.

Congratulations, Professor Leung and Professor Reintjes!