
Prof. Jason D Lotay
Status
Academic Faculty
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent books
Recent publications
Flows of G2-structures on contact Calabi-Yau 7-manifolds
Lotay, J Earp, H Saavedra, J Annals of Global Analysis and Geometry (15 May 2023) http://arxiv.org/abs/2111.01841v1 Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz
LOTAY, J Oliveira, G Journal of Differential Geometry (01 Apr 2023) 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) Ancient solutions and translators of Lagrangian mean curvature flow
Lotay, J Schulze, F Székelyhidi, G (29 Apr 2022) http://arxiv.org/abs/2204.13836v1 Instantons on flat space: Explicit constructions
Lotay, J Madsen, T (25 Apr 2022) http://arxiv.org/abs/2204.11517v1 Research interests
I work on differential geometry and geometric analysis, particularly 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.
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