I currently do not have funded positions available. However, I am always interested in working with students who have a strong mathematical background and are keen to tackle novel challenges in public transport and shared mobility. Students intending to apply for external funding are particularly encouraged to get in touch (andres.fielbaum@sydney.edu.au). The topics below reflect some current open research directions, although students are also very welcome to propose their own ideas.

Operational rules in meal delivery that promote safety: This topic investigates how operational and regulatory measures aimed at improving safety—particularly those that reduce riding speeds—affect system performance, including delivery times, costs, and service reliability. Beyond quantification, the project also explores mechanism design approaches to reshape the interaction between riders and platforms. In particular, it studies how ex-ante agreements (e.g., commitment-based assignment or compensation schemes) can eliminate the need for riders to constantly monitor their phones while riding, thereby improving safety without undermining efficiency.

Required skills: Programming, Operational Research, Game Theory

Spatial distribution of ride-hailing drivers as a Spatial Markov Process: This topic focuses on modelling the spatial dynamics of ride-hailing systems through a stochastic framework. Using a Spatial Markov Process representation, the project studies how driver distributions evolve over time under different dispatching and relocation policies. The aim is to derive structural analytical insights into equilibrium patterns, system efficiency, and the role of platform control in shaping spatial supply.

Required skills: Optimisation, Markov Processes, Programming

Combining microeconomics and mode choice in stylised public transport networks: This topic develops analytical models that integrate microeconomic principles with endogenous mode choice in stylised transport networks. It encompasses a wide range of policy questions, including road pricing, frequency setting, and classical phenomena such as the Downs–Thomson paradox. Using tractable yet flexible representations of demand, congestion, and operator behaviour, the project aims to uncover general mechanisms governing system performance and to derive insights that inform the design of efficient and equitable transport policies.

Required skills: Microeconomics, Programming