Jason D. Lotay

activity

20042026

most citedLaplacian flow for closed G_2 structures: Shi-type estimates, uniqueness and compactness

74 citations · 372 across the 42 of their papers we have counts for

collaborators

45 papers

math.DG2026

The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow

Jason D. Lotay, Goncalo Oliveira

We prove that at any nondegenerate neck pinch singularity of Lagrangian mean curvature flow of surfaces the mean curvature becomes unbounded, with control on the blow-up rate.

math.DG2026

Eigenforms and special holonomy

Bobby Acharya, Lucía Cabrera, Simone Corbo +1

We prove existence and non-existence results for $L^{2}$ eigenforms for the Hodge Laplacian on complete non-compact Ricci flat manifolds with special holonomy, with a particular focu…

math.DG2025

Nearly $G_{2}$ -manifolds and $G_{2}$ -Laplacian co-flows

Jason D. Lotay, Jakob Stein

Nearly $G_{2}$ -structures define positive Einstein metrics in $7$ dimensions and are critical points, up to scale, for a geometric flow of co-closed $G_{2}$ -structures with good analyt…

math.DG2024

Local descriptions of the heterotic SU(3) moduli space

Hannah de Lázari, Jason D. Lotay, Henrique Sá Earp +1

The heterotic $S U (3)$ system, also known as the Hull--Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the loc…

math.DG2024★ 1 cited

Coupled $G_{2}$ -instantons

Agnaldo A. da Silva, Mario Garcia-Fernandez, Jason D. Lotay +1

We introduce the coupled instanton equations for a metric, a spinor, a three-form, and a connection on a bundle, over a spin manifold. Special solutions in dimensions $6$ and $7$ a…

math.DG2023

Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry