Prof. Jason D Lotay

Status

Academic Faculty

+44 1865 273550

Contact form

http://people.maths.ox.ac.uk/lotay/

ORCID iD

https://orcid.org/0000-0002-0456-4538

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent books

Lectures and Surveys on G2-Manifolds and Related Topics Karigiannis, S Leung, N Lotay, J (26 May 2020)

Recent publications

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

Lotay, J Oliveira, G (09 May 2023) http://arxiv.org/abs/2305.05744v1

Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz

LOTAY, J Oliveira, G Journal of Differential Geometry (01 Apr 2023)

Geometric Flows of $G_2$-Structures on 3-Sasakian 7-Manifolds

Kennon, A Lotay, J Journal of Geometry and Physics volume 187 (15 Mar 2023) http://arxiv.org/abs/2210.12962v1

Neck pinches along the Lagrangian mean curvature flow of surfaces

Lotay, J Schulze, F Székelyhidi, G (23 Aug 2022) http://arxiv.org/abs/2208.11054v1

Examples of deformed G_2-instantons/Donaldson-Thomas connections

Lotay, J Oliveira, G Annales de l'Institut Fourier volume 72 issue 1 339-366 (01 Jul 2022)

Research interests

I work on differential geometry and geometric analysis. I am particularly interested in geometry related with special holonomy and calibrated submanifolds, geometric flows including Lagrangian mean curvature flow and the G₂-Laplacian flow, as well as gauge theory, typically in higher dimensions, and geometric problems arising from theoretical physics, such as M-Theory and heterotic String Theory.

Highlighted publications

Consequences of strong stability of minimal submanifolds

Lotay, J Schulze, F International Mathematics Research Notices volume 2020 issue 8 2352-2360 (Apr 2020) http://arxiv.org/abs/1802.03941v2

Remarks on the self-shrinking Clifford torus

Evans, C Lotay, J Schulze, F Journal für die reine und angewandte Mathematik volume 2020 issue 765 139-170 (16 Jul 2019)

Stability of torsion-free G_2 structures along the Laplacian flow

Lotay, J Wei, Y Journal of Differential Geometry volume 111 495-526 (20 Mar 2019) http://arxiv.org/abs/1504.07771v2

SU(2)<sup>2</sup>-invariant G<inf>2</inf>-instantons

Lotay, J Oliveira, G Mathematische Annalen volume 371 issue 1-2 961-1011 (05 Jan 2018)

The space of hyperkähler metrics on a 4-manifold with boundary

Fine, J Lotay, J Singer, M Forum of Mathematics, Sigma volume 5 (01 Apr 2017)

Prizes, awards, and scholarships

Chancellor's Professorship, UC Berkeley, 2022-23