Status:
Associate Professor of Mathematical Physics
Tutorial Fellow in Mathematics at St. John's College
Personal website:
+44 1865 615112
ORCID iD:
https://orcid.org/0000-0001-8820-2835
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
More N=4 superconformal bootstrap
Physical Review D
issue 4
volume 96
page 046014-
(25 August 2017)
Deformation Quantization and Superconformal Symmetry in Three Dimensions
Communications in Mathematical Physics
issue 1
volume 354
page 345–392-
(20 February 2017)
Recent Publications:
Flavor Symmetries and Unitarity Bounds in N=2 Superconformal Field Theories
Physical Review Letters
issue 24
volume 122
(19 June 2019)
Vertex operator algebras, Higgs branches, and modular differential equations
Journal of High Energy Physics
issue 8
volume 2018
(21 August 2018)
The ${\mathcal N}=2$ superconformal bootstrap
Journal of High Energy Physics
issue 3
volume 2016
(29 March 2016)
Full text available
The (2,0) superconformal bootstrap
PHYSICAL REVIEW D
issue 2
volume 93
(21 January 2016)
Full text available
Infinite Chiral Symmetry in Four Dimensions
COMMUNICATIONS IN MATHEMATICAL PHYSICS
issue 3
volume 336
page 1359-1433
(June 2015)
Full text available
Chiral algebras of class S
JOURNAL OF HIGH ENERGY PHYSICS
issue 5
volume 2015
(5 May 2015)
Full text available
W symmetry in six dimensions
Journal of High Energy Physics
issue 5
volume 2015
(1 May 2015)
Holomorphic blocks in three dimensions
JOURNAL OF HIGH ENERGY PHYSICS
issue 12
volume 2014
page 1-120
(30 December 2014)
Full text available
Resummation and S-duality in N=4 SYM
JOURNAL OF HIGH ENERGY PHYSICS
issue 4
volume 2014
(22 April 2014)
Full text available
The N=1 superconformal index for class S fixed points
JOURNAL OF HIGH ENERGY PHYSICS
issue 4
volume 2014
(7 April 2014)
Full text available
Research interests:
Quantum field theory, conformal field theory, supersymmetry, and string theory. Algebraic structures occurring in each of the above.
Teaching:
In the 2019-2020 academic year I am lecturing B7.3 Further Quantum Theory and String Theory I (the latter as a part of the MScMTP/MMathPhys master's program in mathematical and theoretical physics). In the past I have also lectured the Part A Special Relativity short option and a graduate course on vertex operator algebras.
At St. John's I tutor physical applied courses, including Geometry, Dynamics, Constructive Mathematics (Algorithms), Differential Equations I & II, Integral Transforms, Part A Quantum Theory, Fluid Dynamics, Special Relativity, Introuction to Manifolds, and Projective Geometry.
Prizes, awards, and scholarships:
Principle Investigator in the Simons Collaboration for the Nonperturbative Bootstrap 2016-2023
ERC Consolidator Grant "Algebraic Foundations of Supersymmetric Quantum Field Theory" 2020-2025