## Status:

Associate Professor of Mathematical Physics

Tutorial Fellow in Mathematics at St. John's College

## Personal website:

## 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:

VOAs and Rank-Two Instanton SCFTs

COMMUNICATIONS IN MATHEMATICAL PHYSICS
(30 March 2020)
Full text available

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

## 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, Introduction 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