activity
20012026
most citedSurvey on Affine Spheres

20 citations · 51 across the 17 of their papers we have counts for

collaborators

21 papers

math.DG2026

Finite-energy equivariant minimal immersions in with fixed-lift proper cusp ends

Indranil Biswas, Pradip Kumar, John Loftin

Let be a finite-type hyperbolic Riemann surface, with its universal cover being identified with . We prove that a finite-ener…

math.DG2022

Limits of Cubic Differentials and Buildings

John Loftin, Andrea Tamburelli, Michael Wolf

In the Labourie-Loftin parametrization of the Hitchin component of surface group representations into SL(3,R), we prove an asymptotic formula for holonomy along rays in terms of lo…

math.DG2018★ 5 cited

Coordinates on the augmented moduli space of convex RP^2 structures

John Loftin, Tengren Zhang

Let S be an orientable, finite type surface with negative Euler characteristic. The augmented moduli space of convex real projective structures on S was first defined and topologiz…

math.DG2017

The moduli spaces of equivariant minimal surfaces in and via Higgs bundles

John Loftin, Ian McIntosh

In this article we introduce a definition for the moduli space of equivariant minimal immersions of the Poincaré disc into a non-compact symmetric space, where the equivariance is…

math.DG2015

Equivariant minimal surfaces in and their Higgs bundles

John Loftin, Ian McIntosh

This paper gives a construction for all minimal immersions of the Poincaré disc into the complex hyperbolic plane which are equivariant with respect to an irred…

math.GT2015★ 7 cited

Convex RP^2 Structures and Cubic Differentials under Neck Separation

John Loftin

Let S be a closed oriented surface of genus at least two. Labourie and the author have independently used the theory of hyperbolic affine spheres to find a natural correspondence b…