Mathematics & Statistics

Tom Rainforth is an Associate Professor at the Department of Statistics and a Tutorial Fellow of Mansfield College. His research covers a wide range of topics in and around machine learning and experimental design, with areas of particular interest including Bayesian experimental design, deep learning, representation learning, generative models, Monte Carlo methods, active learning, and approximate inference. He currently holds a ERC Starting Grant titled Data-Driven Algorithms for Data Acquisition (Feb 2024 - Feb 2029, funded by the UKRI Horizon Guarantee Scheme). He completed his DPhil in Probabilistic Programming and Machine Learning in 2017 at the University of Oxford, and previously held positions as a Junior Research Fellow in Computer Science at Christ Church College, and then as a Senior Research Fellow in Statistical Machine Learning at the Department of Statistics.

Ian Griffiths’ interests lie in a broad range of fluid dynamical challenges, from water purification strategies to the manufacture of glass for computer tablet screens to the modelling of Covid-19 transmission. His approach is to use a blend of modelling, asymptotic, and numerical techniques to enable predictions to be made for the behaviour of such physical systems, and in particular, to give insight into their optimal operating strategies. Ian collaborates with a range of scientists from many disciplines as well as industries, including: global domestic appliance brand Beko; leading vacuum-cleaner company Dyson; fabric and performance solutions company W.L. Gore and Associates; chemical and pharmaceutical company Merck; food and beverage industry Nestlé; specialist glass company Schott AG; filtration company Smart Separations; and Government organizations including Defra and the Welsh Government.

My research interests are in Combinatorics, which is a branch of Pure Mathematics.

Research Area: Category Theory and Applications

Topics of interest include the study and classification of Contextuality in Quantum Computing, the Topos theoretic approach to foundations of Quantum Physics, applications of the concept of Partial Evaluations within Categorical Probability, Higher Category Theory and Computer Science as well as the use of Local State Monads in modelling computational processes which have access to a Quantum Register.

Additionally, Carmen has a keen interest in Mathematical Teaching and Outreach and has developed extensive experience, ranging from highschool to graduate level courses.

Andrei Constantin is a Stephen Hawking Fellow in Theoretical Physics. After his doctorate at the University of Oxford he moved to Uppsala as a postdoctoral researcher and then returned back to Oxford. His research lies at the interface of string theory, algebraic geometry, and machine learning and focuses on developing mathematical and computational tools to study string theory and its implications for particle physics, cosmology and quantum gravity.

Dr Carlucci completed his DPhil in Mathematics in Oxford, working in Algebraic Geometry under the supervision of Professor Balázs Szendrői. Before coming to Oxford, he graduated from Sapienza University in Rome, spent a year at UPMC in Paris, and then several months at the University of Warwick.

Mick is a current DPhil student in Mathematics, researching representation theory. He has previously completed his bachelors in Maths and Physics at the University of Amsterdam.

Torin is a tutor for dynamics and a third year DPhil student in Applied Mathematics working in collaboration with global domestic appliance brand Beko plc. His research uses mathematical modelling to understand microplastic fibres in washing machines, and he is supervised by Professors Chris Breward and Ian Griffiths.

Mansfield College teaching:
In Hilary 2024 and 2025, I am the tutor for Dynamics.
In Michaelmas 2023 and 2024, I was the tutor for Differential Equations 1.
In Trinity 2024, I was the tutor for Calculus of Variations.

Departmental teaching:
In Hilary 2024, I am a TA for the Further PDEs course taken by MSc students.
In Michaelmas 2023, I was a TA for the third year course, Viscous Flow.