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Department of Applied Mathematics and Theoretical Physics



  • 2021-present: Stephen Hawking Fellow, University of Cambridge
  • 2018-2021: Research Fellow (Emmanuel College), University of Cambridge


Scott is a member of the Department of Applied Mathematics and Theoretical Physics High Energy Physics research group.

His current research interests include various aspects of quantum field theory, in particular effective field theories and their application to problems in gravity and cosmology.

Selected Publications

  • T. Grall and S. Melville, ``Inflation in Motion: Unitarity constraints in EFTs with spontaneously broken boosts,'' JCAP 09 (2020) 017 [arXiv:2005.02366]
  • A.-C. Davis and S.Melville, ``Novel Screening with Two Bodies: Summing the Ladder in Disformal Scalar-Tensor Theories'', JCAP 09 (2020) 013 [arXiv:1910.08831]
  • S. Melville and J. Noller, ``Positivity in the Sky: Constraining dark energy and modified gravity from the UV''. Phys.Rev.D 101 (2020) 2 [arXiv:1904.05874]  
  • C. de Rham and S. Melville, ``Gravitational Rainbows: LIGO and Dark Energy at its Cutoff'', 2018    [arXiv:1806.09417]
  • C. de Rham, S. Melville, A. Tolley and S.-Y. Zhou, ``UV Complete Me: Positivity Bounds for Particles with Spin'', 2017    [arXiv:1706.02712]

See complete list of publications here (note that authors are always listed alphabetically).


Unitary null energy condition violation in $P(X)$ cosmologies
C De Rham, S Melville
– Physical Review D
Pressure-anisotropy-driven microturbulence and magnetic-field evolution in shearing, collisionless plasma
S Melville, AA Schekochihin, MW Kunz
– Monthly Notices of the Royal Astronomical Society
Generalised matter couplings in massive bigravity
S Melville, J Noller
– Journal of High Energy Physics
The coupling to matter in massive, bi- and multi-gravity
J Noller, S Melville
– Journal of Cosmology and Astroparticle Physics
Quantifying the `naturalness' of the curvaton model
RN Lerner, S Melville
– Journal of Cosmology and Astroparticle Physics
Single photons in an imperfect array of beam-splitters: interplay between percolation, backscattering and transient localization
CM Chandrashekar, S Melville, T Busch
– Journal of Physics B Atomic Molecular and Optical Physics
Positivity Bounds without Boosts
T Grall, S Melville
Solutions to Problems at Les Houches Summer School on EFT
M Balsiger, M Bounakis, M Drissi, J Gargalionis, E Gustafson, G Jackson, M Leak, C Lepenik, S Melville, D Moreno, M Tammaro, S Touati, T Trott
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Research Group

High Energy Physics