Joseph Field
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
TakeAIM Winner 2018 (Runner-Up)
(X-ray Reconstruction of Moving Bodies)
I am a DPhil student in Numerical Analysis and part of the EPSRC CDT in Industrially Focused Mathematical Modelling, working under the supervision of Prof. Raphael Hauser.
My research title is Compressed Sensing Reconstruction of Dynamic X-Ray Imaging, and this work is in partnership with Adaptix Imaging Ltd.
Tutor
- Comp. Mathematics; Prelims (MT19,MT18)
- Comp. Techniques; InFoMM (HT18)
- Discrete Optimisation; InFoMM (MT18)
- Num. Linear Algebra; Part C (TT20,MT18)
- Num. Linear Algebra; InFoMM (MT19,MT18)
- Scientific Computing; InFoMM (MT18)
Non-Stipendiary Lecturer
- Analysis I; Regent's Park (MT19)
- Analysis II; Regent's Park (HT20)
- Analysis III; Regent's Park (TT20)
- Constructive Mathematics; St. Hilda's (TT20)
- Diff. Equations I; Regent's Park (TT20)
- Dynamics; St. Hilda's (TT20)
- Fourier Series & PDEs; St. Hilda's (TT20)
- Geometry; St. Hilda's (TT20)
- Introductory Calculus; St. Hilda's (TT20)
- Multivariable Calculus; St. Hilda's (TT20)
- Numerical Analysis; Mansfield (HT18)
- Numerical Analysis; St. Ed. Hall (HT18)
- Numerical Analysis; Merton (HT20)
- Probability; Regent's Park (MT19)
- Probability A; Regent's Park (HT20)
Teaching Assistant
- Further Math. Methods; MSc MMSC (HT17)
- Integer Programming; MSc MMSC (MT17)
- Nonlinear Systems; MSc MMSC (HT17)
- Practical Num. Analysis; MSc MMSC (MT17)
My research is focused on motion correction methods for medical imaging -- specifically digital tomosynthesis -- and so I have immediate interests in image processing, compressed sensing, and continuous optimisation.
Beyond this, I am also interested in
- Numerical Linear Algebra
- Functional Analysis
- Approximation Theory
- Systems and Control Theory
- Computational Fluid Dynamics
Smart Traffic: Intelligent Traffic Light Control
Field, J., Brusee, R., Bakker, E., Budd, J., de Verclos, R., Fleuren, S., Gonzalez Riedel, S., Keizer, E., Stigter, H., ten Broeke, G., and van den Bergh, M.
Wiskunde met de Industry - ESGI 148 (Wageningen, The Netherlands - 2019)
Hydraulic Modelling of Collection Networks
Baronio, F., Chabchoub, A., Esler, G., Field, J., Gaskell, J., Hewitt, I., Lombardo, S., Marquis, S., Nwaigwe, C., Tzella, A., Vetra-Carvalho, S., and Franklin, J.
Study Group: Maths Foresees (Cambridge - 2017)