Bui is the founder of Monash Computational Geomechanics (MCG) Lab in the Department of Civil and Environmental Engineering at Monash University, Australia. His research focuses on bridging scales in modelling localised failure of engineering materials, along with advancing mathematical models to solve multi-physics problems in geomechanics. The key objective of his research is to develop “balanced” computational tools (i.e., between efficiency and mechanisms) for solving real-life engineering applications.  He is the main developer and founder of GeoXPM (https://geoxpm.com), an innovative continuum particle-based computing software designed for solving geomechanics & geotechnical engineering applications involving fractures and large deformations. He is the recipient of several prestigious awards and recognitions, including the 2023 Scott Sloan Best Paper Award, the 2021 ALERT Research Medal awarded by The Alliance of Laboratories in Europe for Education, Research and Technology (ALERT Geomaterials), the  ARC Future Fellowship Award from the Australian Research Council (ARC) and the JSPS Fellowship Award from the Japan Society for the Promotion of Science (JSPS). He is the Editor of two leading journals in computational geomechanics, Computers & Geotechnics and Int J Numerical & Analytical Methods in Geomechanics, and serves on the Editorial Board for several esteemed journals, e.g., Materials & Design, Acta Geotechnica, Canadian Geotechnical Journal, Int J Rock Mech Mining Science, and Computational Particle Mechanics.