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Photo of Prof Jason D. Lotay

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
  • Geometry
  • Mathematical Physics
  • Oxford Centre for Nonlinear PDE
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

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Stonewall Silver Employer 2022 Athena SWAN Silver Award (ECU Gender Charter) London Mathematical Society Good Practice Scheme
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