Kayleigh Halpin

Project: Optimisation algorithms for flow chemistry

What inspired you to pursue this project and join the DAMC CDT?

I graduated from the University of Liverpool in 2025 with an integrated master’s degree in Mathematics. Throughout my studies, I developed a strong interest in both pure and applied mathematics, particularly in understanding rigorous theoretical concepts and translating them into practical applications across disciplines. This dual perspective was especially reinforced during my undergraduate and master’s research projects, where I discovered a genuine enthusiasm for independent research and for developing novel mathematical approaches to address real-world challenges. These experiences motivated me to pursue a PhD.

During my application process, I was keen to apply mathematical methods within a new and unfamiliar domain. This led me to the DAMC CDT, where I was particularly drawn to its interdisciplinary nature. Upon discovering this project, I was immediately interested in the opportunity to apply my background in pure and applied mathematics to the development of optimisation algorithms in flow chemistry. The prospect of contributing mathematical innovation to solve tangible chemical problems strongly aligns with my academic interests and long-term research ambitions.

What is your research project about, and what impact do you hope it will have?

My research project focuses on the evaluation and development of optimisation algorithms used in flow chemistry. These algorithms are applied to improve key performance metrics of chemical reactions in flow reactors, including yield, selectivity, and cost efficiency. By systematically applying and benchmarking a range of optimisation techniques across different reaction types, I aim to identify which methods are most effective under varying conditions. The broader goal of this work is to support more sustainable practices within chemistry. By improving the efficiency of chemical processes, the project seeks to reduce reagent consumption, minimise waste, and maximise product yield. Ultimately, this research has the potential to contribute to more resource-efficient and environmentally responsible approaches in chemical manufacturing. Another aim of the project is to build a deeper understanding of the mathematical optimisation techniques underlying these methods, and how they influence overall algorithm performance. This insight will help guide the development of more effective optimisation algorithms tailored specifically for use in flow chemistry.

What has been the most exciting or rewarding part of your PhD journey so far and how does your project benefit from being part of an interdisciplinary CDT?

The most rewarding part of my PhD so far has been applying mathematical ideas to a completely new area and seeing their potential to solve real chemical problems. Being part of an interdisciplinary CDT like DAMC is particularly valuable, as it allows me to collaborate with researchers from different backgrounds, gain insight into experimental chemistry, and ensure that my work is both mathematically rigorous and practically relevant.