# Department of Applied Mathematics and Theoretical Physics

## Career

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

## Research

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).

## Publications

Positivity in the Sky: Constraining dark energy and modified gravity from the UV
S Melville, J Noller
– Physical Review D
(2020)
101,
021502
Positivity Bounds for Massive Spin-1 and Spin-2 Fields
C de Rham, S Melville, AJ Tolley, Z Shuang-Yong
– Journal of High Energy Physics
(2019)
2019,
182
An Anomaly-free Atlas: charting the space of flavour-dependent gauged $U(1)$ extensions of the Standard Model
BC Allanach, J Davighi, S Melville
– Journal of High Energy Physics
(2019)
2019,
82
Gravitational Rainbows: LIGO and Dark Energy at its Cutoff
C de Rham, S Melville
– Phys Rev Lett
(2018)
121,
221101
Improved positivity bounds and massive gravity
C de Rham, S Melville, AJ Tolley
– Journal of High Energy Physics
(2018)
2018,
83
UV complete me: positivity bounds for particles with spin
C de Rham, S Melville, AJ Tolley, SY Zhou
– Journal of High Energy Physics
(2018)
2018,
11
Positivity bounds for scalar field theories
C De Rham, S Melville, AJ Tolley, SY Zhou
– Physical Review D
(2017)
96,
081702
Massive Galileon positivity bounds
C de Rham, S Melville, AJ Tolley, SY Zhou
– Journal of High Energy Physics
(2017)
2017,
72
Unitary null energy condition violation in $P(X)$ cosmologies
C De Rham, S Melville
– Physical Review D
(2017)
95,
123523
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
(2016)
459,
2701
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## Research Group

High Energy Physics

B0.33