Samuel Crew

About me

I am a postdoc in the department of mathematical sciences at the University of Bath. I am working with Dr. Philippe Trinh. I am interested in integrability, enumerative geometry and resurgence with applications in supersymmetric quantum field theory and applied mathematics.

Samuel C. Crew (Trin. Coll.) Centre for Mathematical Sciences University of Cambridge Wilberforce Rd, Cambridge, CB3 0WA. phone: +44 (0) 1223 765253 fax: +44 (0) 1223 765253 e-mail: me (at) samuelcrew.com Department page Inspire HEP

vortices - instantons - Macdonald polynomials - quantum affine algebras - 3d N=4 theories - quiver varieties - holomorphic blocks - supersymmetric black holes - strings - Yangians - integrable spin chains - crystal bases - Young tableaux - Knizhnik-Zamolodchikov equations - conformal blocks - toric geometry - refined topological vertex - quantum groups - double affine Hecke algebras - conformal field theories - twisted indices - Coulomb branch algebras - geometric engineering - squashed three sphere pfns - symplectic duality - quasimaps - M2 branes - K-theory - monopole operators - modular forms - 3-manifolds - quantum cohomology - resurgence - Coulomb branch Hilbert series

Research Interests

• Supersymmetric indices and connections to algebraic/geometric structures.
• Exact results in 3d N=4 theories and 3d mirror symmetry.
• Integrability and enumerative geometry in supersymmetric QFT.
• Resurgence and exponential asymptotics.

Publications and Preprints

• M. Bullimore, S. Crew, and D. Zhang – Boundaries, Vermas and Factorisation. JHEP (2021) 263 (2010.09741)
• S. Crew, N. Dorey and D. Zhang – Blocks and Vortices in the 3d ADHM Gauge Theory. JHEP (2021) 234 (2010.09732)
• S. Crew, N. Dorey and D. Zhang – Factorisation of 3d N=4 Twisted Indices and the Geometry of Vortex Moduli Space. JHEP (2020) 08, 015 (2002.04573)
• S. Crew and P. Trinh – New singularities for Stokes waves. J. Fluid Mech. 798, 256-283 (1510.04254)

Talks

• "Gauge theory, integrability and curve counting" – Bath algebra, geometry and number theory seminar (May 2021) - slides
• "What is quantum field theory?" – ARA INI Program mini-course
• "Hemisphere blocks in 3d N=4 theories" – Fudan university (Mar. 2021) - watch
• "Factorisation and Vortices in 3d N=4 Theories" – Kavli IPMU (Nov. 2020) - slides
• "Boundaries, Vermas and Factorisation" – Imperial quiver seminar (Nov. 2020)
• "Quivers, Spin Chains and Black Holes" – 2nd year HEP group talk (Jun. 2018)

A supervision with me as depicted by a student (artist credit @quantumcutie1228)

Bath 2021-

Cambridge 2016-2021

• Classical Dynamics (Part II) Michaelmas 16-17, 17-18, 18-19.
  • Course Materials
• General Relativity (Part II) Lent 16-17, 17-18.
  • Course Materials
• Symmetries, Fields and Particles (Part III) Michaelmas 17-18, 18-19, 19-20.
  • Course Materials
• Mathematical Methods (Part IA Nat. Sci.) 17-18, 18-19, 19-20.
  • Course Materials
• Mathematical Methods (Part IB Nat. Sci.) 17-18, 18-19, 19-20.
  • Course Materials
• Quantum Field Theory (Part III) Michaelmas 20-21.
  • Course Materials

Other

Music

• Syzygie - Cambridge based 8-piece jazz/hip-hop band
• Cambridge University Jazz Orchestra - video

Cycling and Running

• Strava profile

Photography

Useful Links

• hep-th arXiv
• Math overflow
• Inspire HEP
• The Guardian

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