32 citations · 84 across the 10 of their papers we have counts for
10 papers
Automorphisms of Stokes multipliers in higher-order WKBJ theory
Josh Shelton, Samuel Crew, Christopher J. Lustri
We consider the Stokes phenomenon and higher-order Stokes phenomenon (HOSP) of formal asymptotic transseries arising in the WKBJ analysis of linear differential equations and integ…
Holography and the Hilbert Scheme
Samuel Crew, Daniel Zhang, Ziruo Zhang
We elucidate a holographic relationship between the enumerative geometry of the Hilbert scheme of points in the plane , with large, and the entropy of certain…
Boundaries & Localisation with a Topological Twist
Samuel Crew, Daniel Zhang, Boan Zhao
We study the partition functions of topologically twisted 3d gauge theories on a hemisphere spacetime with boundary . We show that the partition fu…
Resurgence, Habiro elements and strange identities
Samuel Crew, Veronica Fantini, Ankush Goswami +2
We prove resurgence properties for the Borel transform of a formal power series associated to elements in the Habiro ring that come from radial limits of partial theta series via s…
Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
Josh Shelton, Samuel Crew, Philippe H. Trinh
The higher-order Stokes phenomenon can emerge in the asymptotic analysis of many problems governed by singular perturbations. Indeed, over the last two decades, the phenomena has a…
Resurgent aspects of applied exponential asymptotics
Samuel Crew, Philippe H. Trinh
In many physical problems, it is important to capture exponentially-small effects that lie beyond-all-orders of a typical asymptotic expansion; when collected, the full expansion i…
Boundaries, Vermas, and Factorisation
Mathew Bullimore, Samuel Crew, Daniel Zhang
We revisit the factorisation of supersymmetric partition functions of 3d gauge theories. The building blocks are hemisphere partition functions of a class of UV $\m…
Blocks and Vortices in the 3d ADHM Quiver Gauge Theory
Samuel Crew, Nick Dorey, Daniel Zhang
We study the hemisphere partition function of a three-dimensional supersymmetric gauge theory with one adjoint and one fundamental hypermultiplet -- the ADHM…
Factorisation of 3d Twisted Indices and the Geometry of Vortex Moduli Space
Samuel Crew, Nick Dorey, Daniel Zhang
We study the twisted indices of supersymmetric gauge theories in three dimensions on spatial with an angular momentum refinement. We demonstrate factorisati…
New singularities for Stokes waves
Samuel C. Crew, Philippe H. Trinh
In 1880, Stokes famously demonstrated that the singularity that occurs at the crest of the steepest possible water wave in infinite depth must correspond to a corner of …