Rebecca Crossley
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Martina-Perez, S.M., Johnson, S.W.S, Crossley, R.M., Kasemeier, J.C., Kulesa, P.M. and Baker, R.E., 2025. Optimal control in combination therapy for heterogeneous cell populations with drug synergies. arXiv, 2502.12079.
Crossley, R.M. and Martina-Perez, S.F., 2024. Electrotaxis disrupts patterns of cell-cell interactions of human corneal epithelial cells in vitro. bioRxiv, pp.2024-10.
Browning, A.P., Crossley, R.M., Villa, C., Maini, P.K., Jenner, A.L., Cassidy, T. and Hamis, S., 2024. Identifiability of heterogeneous phenotype adaptation from low-cell-count experiments and a stochastic model. bioRxiv, pp.2024-08.
Crossley, R.M., Pietschmann, J.F. and Schmidtchen, M., 2025. Existence of weak solutions for a volume-filling model of cell invasion into extracellular matrix. Journal of Differential Equations, 428, pp.721-746.
Falcó, C., Crossley, R.M. and Baker, R.E., 2024. Travelling waves in a minimal go-or-grow model of cell invasion. Applied Mathematics Letters. 2024
Crossley, R.M., Painter, K.J., Lorenzi, T., Maini, P.K. and Baker, R.E., 2024. Phenotypic switching mechanisms determine the structure of cell migration into extracellular matrix under the ‘go-or-grow’ hypothesis. Mathematical Biosciences, p.109240.
Crossley, R.M., Johnson, S., Tsingos, E., Bell, Z., Berardi, M., Botticelli, M., Braat, Q.J., Metzcar, J., Ruscone, M., Yin, Y. and Shuttleworth, R., 2024. Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist. Frontiers in cell and developmental biology, 12, p.1354132.
Crossley, R.M., Maini, P.K., Lorenzi, T. and Baker, R.E., 2023. Traveling waves in a coarse‐grained model of volume‐filling cell invasion: Simulations and comparisons. Studies in Applied Mathematics, 151(4), pp.1471-1497.
Crossley, R., Agaoglou, M., Katsanikas, M. and Wiggins, S., 2021. From Poincaré maps to Lagrangian descriptors: The case of the valley ridge inflection point potential. Regular and Chaotic Dynamics, 26, pp.147-164.
Hi everyone, my name is Becky and I am currently a second year DPhil Mathematics student in the Wolfson Centre for Mathematical Biology. Prior to joining the group here in Oxford I studied for my undergraduate degree at the University of Bristol, where I worked as a research assistant in the field of chemical reaction dynamics (the CHAMPS team). My research now involves multiscale modelling of cell migration into extracellular matrix, from agent-based models to reaction-diffusion equations at the population-level.
Feel free to reach out to me in person or via email!
MPLS Teaching Excellence Award - 2024
University of Oxford Mathematical Institute EPSRC Scholarship - 2021
Oxford-Wolfson-Marriott Graduate Scholarship - 2021
I have enjoyed teaching undergraduate students for over 5 years now, starting back during my time at University of Bristol. Since arriving at Oxford I have been fortunate enough to teach both in department and in a number of colleges, as both a graduate tutor and college lecturer.
I am currently a college lecturer at Pembroke college, and I recently won the MPLS Teaching Excellence Award.
Details of all of the courses I have taught at Oxford each year are below:
2024/25:
- Part A Differential Equations 1 (Pembroke College)
- Part A Differential Equations 2 (Pembroke College)
- Part A Mathematical Modelling in Biology (Pembroke College)
- Part A Waves and Fluids (Pembroke College)
- Part A Quantum Theory (Pembroke College)
- Prelims Introductory Calculus (Pembroke College)
- Prelims Fourier Series and Partial Differential Equations (Pembroke College)
2023/24:
- Part A Differential Equations 1 (Pembroke College)
- Part A Differential Equations 2 (Pembroke College)
- Prelims Multivariable Calculus (Pembroke College)
- Prelims Fourier Series and Partial Differential Equations (Pembroke College)
- Prelims Dynamics (Pembroke College)
- Part A Mathematical Modelling in Biology (Pembroke College)
- Part B Further Mathematical Biology (Mathematical Institute)
- Part A Numerical Analysis (Pembroke College)
- Part A Waves and Fluids (Pembroke College)
- Part A Quantum Theory (Pembroke College)
2022/23:
- Prelims Probability A (St Hugh's College)
- Prelims Multivariable Calculus (St Hugh's College)
- Prelims Fourier Series and Partial Differential Equations (St Hugh's College)
- Part A Mathematical Modelling in Biology (St Hugh's College)
- Part A Calculus of Variations (St Hugh's College)
2021/22:
- Part A Differential Equations 1 (Merton College)
- Part B Applied Partial Differential Equations (Mathematical Institute)
- Part A Differential Equations 2 (Merton College)
- Part A Mathematical Modelling in Biology (Exeter College, St Hugh's College)
- Part C Statistical Mechanics (Mathematical Institute)
Previous experience teaching Mathematical Biology, Quantum Mechanics, Time Series Analysis, Statistical Mechanics and Financial Mathematics courses elsewhere.