Prof. Jason D Lotay | Mathematical Institute

Prof. Jason D Lotay

Status:

Academic Faculty

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Personal website:

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

ORCID iD:

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

Research groups:

Geometry

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

ISBN-13: 9781071605776 (26 May 2020)

Highlighted Publications:

Consequences of strong stability of minimal submanifolds

Consequences of strong stability of minimal submanifolds
Lotay, J; Schulze, F
International Mathematics Research Notices issue 8 volume 2020 page 2352-2360 (April 2020) Full text available

Remarks on the self-shrinking Clifford torus

Remarks on the self-shrinking Clifford torus
Evans, C; Lotay, J; Schulze, F
Journal für die reine und angewandte Mathematik (16 July 2019)

Stability of torsion-free G_2 structures along the Laplacian flow

Stability of torsion-free G_2 structures along the Laplacian flow
Lotay, J; Wei, Y
Journal of Differential Geometry volume 111 page 495-526 (20 March 2019) Full text available

SU(2)²-invariant G2-instantons

SU(2)²-invariant G2-instantons
Lotay, J; Oliveira, G
Mathematische Annalen issue 1-2 volume 371 page 961-1011 (5 January 2018)

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

The space of hyperkähler metrics on a 4-manifold with boundary
Fine, J; Lotay, J; Singer, M
Forum of Mathematics, Sigma volume 5 (1 April 2017)

Recent Publications:

From Lagrangian to totally real geometry: coupled flows and calibrations

From Lagrangian to totally real geometry: coupled flows and calibrations
Lotay, J; Pacini, T
Communications in Analysis and Geometry issue 3 volume 28 page 607-675 (6 July 2020) Full text available

Geometric Flows of G_2 Structures

Geometric Flows of G_2 Structures
Lotay, J
Lectures and Surveys on G2-Manifolds and Related Topics page 113-140 (27 May 2020) Full text available

G2-Instantons on Noncompact G2-Manifolds: Results and Open Problems

G2-Instantons on Noncompact G2-Manifolds: Results and Open Problems
Lotay, J; Oliveira, G
Fields Institute Communications volume 84 page 287-317 (1 January 2020)

Preface

(1 January 2020)

Laplacian flow for closed G_2 structures: real analyticity

Laplacian flow for closed G_2 structures: real analyticity
Lotay, J; Wei, Y
Communications in Analysis and Geometry (7 May 2019) Full text available

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 instantons.

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