Myself, Gerry Gilmore and Kaisey Mandel are developing a method to learn the colour-magnitude diagram of low-extinction stars at high Galactic latitudes using normalzing flows.
I have developed normalizing architectures and shown that under certain assumptions the No U-turn Sampler will converge to the target density if it constains a normalizing flow component in the Hamiltonian. In the GIF below I show the leap-frog integration for a Hamiltonian with normalizing flow component. 
Published in Journal 1, 2015
This paper is about the number 3. The number 4 is left for future work.
Recommended citation: Your Name, You. (2015). "Paper Title Number 3." Journal 1. 1(3).
Download Paper | Download Slides
Published in Penn State Archive, 2021
I derive the coadjoint orbits of the Bianchi Lie groups and define Hamiltonian dynamics on the corresponding cosmologies.
Recommended citation: O'Callaghan, M. (2021). "Symplectic Reduction and Poisson Geometry." Preprint Pen Phill.
Download Paper
Published in GitHub Journal of Bugs, 2024
This paper is about fixing template issue #693.
Recommended citation: Your Name, You. (2024). "Paper Title Number 3." GitHub Journal of Bugs. 1(3).
Download Paper
Published in MNRAS, 2024
A detailed map of the distribution of dust at high Galactic latitudes is essential for future cosmic microwave background polarization experiments because the dust, while diffuse, remains a significant foreground in these regions. We develop a Bayesian model to identify a region of the Hertzsprung–Russell (HR) diagram suited to constrain the single-star extinction accurately at high Galactic latitudes.
Recommended citation: O'Callaghan, M. et al. (2024). "Quantifying interstellar extinction at high Galactic latitudes" MNRAS.
Download Paper
Undergraduate course, University of Cambridge, subcontracted., 2022
Designed and taught a fourty hour introductoty course on group theory in the summer before students start their undergraduate degree in pure mathematics.
Undergraduate course, University of Cambridge, subcontracted., 2023
Designed and taught a fourty hour introductoty course in General Relativity in the summer before students start their undergraduate degree in pure mathematics.
Entrance examination, Private, 2023
Prepare students for the STEP entrance exam for pure mathematics at the University of Cambridge. Mainly working with students from Southeast Asia, Africa and South America.
Masters course, University of Cambridge, Centre of Data Intensive Sciences, 2023
Supervised the research computing course for the masters in Data Intensive Sciences at the Universty of Cambridge in 2023
Masters course, University of Cambridge, Centre of Data Intensive Sciences, 2024
Supervised the deep learning course for the masters in Data Intensive Sciences at the Universty of Cambridge in 2024.
Masters course, University of Cambridge, Centre of Data Intensive Sciences, 2024
Supervised the advanced machine learning course for the masters in Data Intensive Sciences at the Universty of Cambridge in 2024.
Masters course, University of Cambridge, Centre of Data Intensive Sciences, 2024
Supervised the introduction to machine learning course for the masters in Data Intensive Sciences at the Universty of Cambridge in 2023 and 2024.