Publications (12)
Generalising Kapranov's Theorem For Tropical Geometry Over Hyperfields
James Maxwell
Kapranov's theorem is a foundational result in tropical geometry. It states that the set of tropicalisations of points on a hypersurface coincides precisely with the tropical varie…
Convex geometry over ordered hyperfields
James Maxwell, Ben Smith
We initiate the study of convex geometry over ordered hyperfields. We define convex sets and halfspaces over ordered hyperfields, presenting structure theorems over hyperfields ari…
Precision measurements of A=3 nuclei in Hall B
Or Hen, Dave Meekins, Dien Nguyen +55
We propose a high-statistics measurement of few body nuclear structure and short range correlations in quasi-elastic scattering at 6.6 GeV from H, He and H targets in H…
ALP Anarchy
Francesca Chadha-Day, James Maxwell, Jessica Turner
String theory models generically predict the existence of multiple axion-like particle (ALP) fields, yet the majority of both theoretical and experimental works have assumed only o…
Realizing the Scientific Program with Polarized Ion Beams at EIC
Grigor Atoian, Nigel Buttimore, Giuseppe Ciullo +67
Polarized ion beams at the Electron Ion Collider are essential to address some of the most important open questions at the twenty-first century frontiers of understanding of the fu…
A tropical approach to rigidity: counting realisations of frameworks
Oliver Clarke, Sean Dewar, Daniel Green Tripp +4
A realisation of a graph in the plane as a bar-joint framework is rigid if there are finitely many other realisations, up to isometries, with the same edge lengths. Each of these f…
Conceptual Design of a Polarized 3He Target for the CLAS12 Spectrometer
James Maxwell, Richard Milner
We present a conceptual design for a polarized He target for Jefferson Lab's CLAS12 spectrometer in its standard configuration. This two-cell target will take advantage of adva…
Polarizing 3He via Metastability Exchange Optical Pumping Using a 1.2 mbar Sealed Cell at Magnetic Fields up to 5 T
Pushpa Pandey, Hao Lu, James Maxwell +5
We report high nuclear polarization of 1.2 mbar 3He gas in a sealed cell in magnetic fields up to 5 T using Metastability Exchange Optical Pumping (MEOP). The creation of a highly…
Geometry of tropical extensions of hyperfields
James Maxwell, Ben Smith
We study the geometry of tropical extensions of hyperfields, including the ordinary, signed and complex tropical hyperfields. We introduce the framework of 'enriched valuations' as…
Dynamically polarized target for the g2p and GEp experiments at Jefferson Lab
Joshua Pierce, James Maxwell, Toby Badman +10
We describe a dynamically polarized target that has been utilized for two electron scattering experiments in Hall A at Jefferson Lab. The primary components of the target are a new…
A Concept for Polarized He Targets for High Luminosity Scattering Experiments in High Magnetic Field Environments
James Maxwell, Richard Milner
We present the conceptual design of a polarized He target to be used for high luminosity scattering experiments within high magnetic field environments. This two-cell target wi…
Extremal decompositions of tropical varieties and relations with rigidity theory
Farhad Babaee, Sean Dewar, James Maxwell
Extremality and irreducibility constitute fundamental concepts in mathematics, particularly within tropical geometry. While extremal decomposition is typically computationally hard…