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Prof. Lionel J Mason

BA, DPhil
Status
Academic Faculty

Professor of Mathematics Tutorial Fellow St Peter's College.

+44 1865 615328
Contact form
http://people.maths.ox.ac.uk/lmason/
CV
ORCID iD
https://orcid.org/0000-0003-2464-6730
Research groups
  • Geometry
  • Mathematical Physics
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent books
Further Advances in Twistor Theory Mason, L Hughston, L Kobak, P (18 May 2023)
Further advances in twistor theory: Volume III: Curved twistor spaces Mason, L Hughston, L Kobak, P Pulverer, K (01 Jan 2022)
Recent publications
Gluon scattering on the self-dual dyon.
Adamo, T Bogna, G Mason, L Sharma, A Letters in mathematical physics volume 115 issue 1 18 (08 Jan 2025)
Applications of Twistor Theory
Mason, L Encyclopedia of Mathematical Physics 328-334 (2025)
Celestial Lw 1+∞ charges from a twistor action
Kmec, A Mason, L Ruzziconi, R Srikant, A Journal of High Energy Physics volume 2024 issue 10 (31 Oct 2024)
Celestial Lw1+∞ charges from a twistor action
Kmec, A Mason, L Ruzziconi, R Srikant, A (04 Jul 2024)
On AdS 4 deformations of celestial symmetries
Bittleston, R Bogna, G Heuveline, S Kmec, A Mason, L Skinner, D Journal of High Energy Physics volume 2024 issue 7 (02 Jul 2024)
Research interests

My research interests lies in mathematical physics, focussing mostly on general relativity and quantum theory.

Much of my research is centred around twistor theory, a programme originally introduced by Roger Penrose as an approach to the unification of quantum theory and general relativity. Twistor theory now has strong links to string theory and finds wide application to problems in mathematical physics, geometry, nonlinear differential equations, particularly integrable systems.  Much of my current work is on ideas arising from Witten's twistor-string theory and applications of twistor theory to scattering amplitudes.  Further details of my research interests can be obtained from my publication list (see below for recent articles).

Highlighted publications
Scattering on plane waves and the double copy
Adamo, T Casali, E Mason, L Nekovar, S Classical and Quantum Gravity volume 35 issue 1 (05 Dec 2017)
One-loop amplitudes on the Riemann sphere
Geyer, Y Mason, L Monteiro, R Tourkine, P JOURNAL OF HIGH ENERGY PHYSICS issue 3 (16 Mar 2016) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000375313500006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Two-loop scattering amplitudes from the Riemann sphere
Geyer, Y Mason, L Monteiro, R Tourkine, P Physical Review D volume 94 issue 12 (01 Jan 2016)
New ambitwistor string theories
Casali, E Geyer, Y Mason, L Monteiro, R Roehrig, K Journal of High Energy Physics volume 2015 issue 11 38 (05 Nov 2015)
Loop Integrands for Scattering Amplitudes from the Riemann Sphere.
Geyer, Y Mason, L Monteiro, R Tourkine, P Physical review letters volume 115 issue 12 121603 (16 Sep 2015)
Ambitwistor strings at null infinity and (subleading) soft limits
Geyer, Y Lipstein, A Mason, L Classical and Quantum Gravity volume 32 issue 5 055003 (05 Mar 2015)
Ambitwistor strings in four dimensions.
Geyer, Y Lipstein, A Mason, L Physical review letters volume 113 issue 8 081602 (19 Aug 2014)
Ambitwistor strings and the scattering equations
Mason, L Skinner, D (11 Nov 2013) http://arxiv.org/abs/1311.2564v1
Scattering amplitudes and Wilson loops in twistor space
Adamo, T Bullimore, M Mason, L Skinner, D JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL volume 44 issue 45 (2011) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=elements_prod_1&SrcAuth=WosAPI&KeyUT=WOS:000296773300009&DestLinkType=FullRecord&DestApp=WOS_CPL
The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor
Space
Mason, L Skinner, D JHEP volume 1012 018 (12 Sep 2010) http://arxiv.org/abs/1009.2225v3
Prizes, awards, and scholarships

Leverhulme Senior Research Fellow 2005-6, Leverhulme Research Fellow 2011-13

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London Mathematical Society Good Practice Scheme Athena SWAN Silver Award (ECU Gender Charter) Stonewall Silver Employer 2022

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