# Faculty of Mathematics

## Career

• 2019-present: Postdoctoral research associate in DAMTP, University of Cambridge
• 2016-19: PhD student in DAMTP, University of Cambridge
• 2015-16: Herchel-Smith Fellowship, Harvard University
• 2014-15: MSci in Physics, University of Cambridge
• 2011-14: BA in Natural Sciences, University of Cambridge

## Research

Joseph is a member of the Department of Applied Mathematics and Theoretical Physics in the High Energy Physics research group. He is currently interested in topological aspects of quantum field theories, with a focus on their applications in particle physics phenomenology. In addition, he has a wider research interest in Beyond the Standard Model physics, including the recent flavour anomalies measured by LHCb.

## Outreach

In 2017, Joseph worked with musician Darren Bloom on his composition of "Five Brief Lessons on Physics", a piece for string quartet inspired by topics in theoretical physics. Bloom's composition, which was commissioned by the Royal Philharmonic Society, was premiered at the 2017 Cheltenham Music Festival and broadcast on BBC Radio 3. As part of the 2019 Cambridge Science Festival, Joseph co-presented the interactive lecture-recital event "Collision" alongside Bloom and the Piatti string quartet.

## Selected Publications

• J. Davighi, M. McCullough, and J. Tooby-Smith, "Undulating Dark Matter", arXiv:2007.03662
• J. Davighi and N. Lohitsiri, "Anomaly interplay in U(2) gauge theories", JHEP 05 (2020) 098, arXiv:2001.07731
• J. Davighi, B. Gripaios, and N. Lohitsiri, "Global anomalies in the Standard Model(s) and Beyond", JHEP 07 (2020) 232, arXiv:1910.11277
• W. Altmannshofer, J. Davighi, and M. Nardecchia, "Gauging the accidental symmetries of the Standard Model, and implications for the flavour anomalies", Phys.Rev. D101 (2020) no.1, 015004, arXiv:1909.02021
• B. C. Allanach, J. Davighi, and S. Melville, "An Anomaly-free Atlas: charting the space of flavour-dependent gauged U(1) extensions of the Standard Model", JHEP 02 (2019) 082arXiv:1812.04602
• B. C. Allanach and J. Davighi, "Third Family Hypercharge Model for RK(*) and Aspects of the Fermion Mass Problem", JHEP 12 (2018) 075, arXiv:1809.01158
• J. Davighi and B. Gripaios, "Topological terms in Composite Higgs Models", JHEP 11 (2018) 169, arXiv:1808.04154
• J. Davighi and B. Gripaios, "Homological classification of topological terms in sigma models on homogeneous spaces", JHEP 09 (2018) 155, arXiv:1803.07585

You can find a full list of publications here.

## Publications

Global anomalies in the Standard Model(s) and Beyond
J Davighi, B Gripaios, N Lohitsiri
– Journal of High Energy Physics
(2020)
2020,
232
Anomaly interplay in $U(2)$ gauge theories
J Davighi, N Lohitsiri
– Journal of High Energy Physics
(2020)
2020,
98
Quantum mechanics in magnetic backgrounds with manifest symmetry and locality
J Davighi, B Gripaios, J Tooby-Smith
– Journal of Physics A: Mathematical and Theoretical
(2020)
53,
145302
Gauging the accidental symmetries of the standard model, and implications for the flavor anomalies
W Altmannshofer, J Davighi, M Nardecchia
– Physical Review D
(2020)
101,
015004
Naturalising the third family hypercharge model for neutral current $B{-}\hbox {anomalies}$B-anomalies
BC Allanach, J Davighi
– European Physical Journal C
(2019)
79,
908
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
Third family hypercharge model for RK∗${R}_{K^{\left(\ast \right)}}$ and aspects of the fermion mass problem
BC Allanach, J Davighi
– Journal of High Energy Physics
(2018)
2018,
75
Topological terms in Composite Higgs models
J Davighi, B Gripaios
– Journal of High Energy Physics
(2018)
2018,
169
Homological classification of topological terms in sigma models on homogeneous spaces
J Davighi, B Gripaios
– Journal of High Energy Physics
(2018)
2018,
155
Fractal based observables to probe jet substructure of quarks and gluons.
J Davighi, P Harris
– European Physical Journal C
(2018)
78,
334
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## Research Group

High Energy Physics

B0.39