Professor Bill Lionheart, Department of Mathematics, University of Manchester.

*Officially Professor William Robert Breckon Lionheart, PhD, FIMA, FIET
(note 'Bill' is the familiar form of 'William')
Pronouns: he/his/him. (Although like Spivak I dislike having to decide which gender to use before we can even refer to people!)

My research interests cover theoretical and practical aspects of inverse problems, especially in imaging. Imaging methods I have worked on include Electrical Impedance Tomography, X-ray CT, Diffuse optical tomography, neutron time of flight spectral tomography, polarimetric neutron tomography of magnetic fields, small angle x-ray scattering tomography, Bragg edge neutron tomography for strain, photoelastic strain tomography, polarized light tomography for liquid crystals, , magnetic induction tomography/metal detection, ground penetrating radar, multistatic volumetric radar imaging. Application areas include medical imaging, security screening, landmine and UXO detection, materials science, geophysical imaging. Mathematical key words: inverse boundary value problems,integral geometry, rich tomography, partial differential equations, differential geometry, numerical linear algebra, finite element method, Bayesian methods in inverse problems.

Some links to me for various research related information

• A fairly complete bibliography of my publications as a pdf.
• A queryiable database of my publications
• Orcid ID is 0000-0003-0971-4678
• University research Explorer page
• Author ID 315924 on MathSciNet. Just for fun my Erdos, number: 4 last time I looked!
• zbMath Author listing
• Preprint papers on ArXiV
• Preprints etc on MIMS server
• Grants on The Web EPSRC grants I have held.
• Zenodo archived data sets, talks, code etc.
• Math Geneology Project (some of my PhD students).
• YouTube channel
• LinkedIn
• Twitter
• GitHub

Links to some project web sites

• EIDORS Electrical Impedance Tomography and Diffuse Optical Tomography Reconstruction Software
• a collaborative project to develop a consensus linear reconstucution algorithm for lung EIT.
• Core Imaging library (CIL) of the Collaborative Computational Project in Tomographic Imaging (CCPi)
• MPT calculator My colleague Paul Ledger's code to calculate magnetic polarizability tensors.
• NOVO Neutron and gamma-ray imaging for real-time range verification and image guidance in particle therapy
• Electromagnetic sensing group in the School of Engineering.
• The National X-ray Computed Tomography (NXCT) is the National Research Facility for lab-based X-ray computed tomography.
• Rich and Nonlinear Tomography - a multidisciplinary approach A programme we ran at the Isaac Newton Institute for Mathematical Sciences in Cambridge 4 January 30 June 2023.