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Jason D. Lotay |
Professor of Pure Mathematics |
University of Oxford |
Fellow at Balliol College |
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Academic talks
- Coupled G2-instantons, 2024.
- G2-instantons, the heterotic G2 system and generalized geometry, 2024. [slides]
- Translators in Lagrangian mean curvature flow, 2024.
- Joyce conjectures for Lagrangian mean curvature flow with circle symmetry, 2023. [slides]
- Neck pinches in Lagrangian mean curvature flow of surfaces, 2023. [video] [slides]
- Geometric flows and special holonomy: past, present and future, 2023.
- Geometric flows, G2-structures and 3-Sasakian geometry, 2022. [slides]
- Gauge theory and special holonomy, minicourse for Introductory Workshop at Analytic and Geometric Aspects of Gauge Theory program at MSRI/SLMath, 2022. [video 1] [video 2] [video 3]
- Some remarks on contact Calabi-Yau 7-manifolds, 2021. [slides] [video]
- Recent progress in Lagrangian mean curvature flow of surfaces, 2021. [slides]
- Exceptional holonomy and gauge theory, expository talk for reading seminar on Fukaya-Seidel category and gauge theory, 2021. [pdf notes]
- Lagrangian mean curvature flow and the Gibbons-Hawking ansatz, 2021. [slides]
- Minimal Lagrangians and where to find them, 2020. [slides]
- Singularities in the G2-Laplacian flow, 2020. [slides] [video]
- Deformed G2 instantons, 2020. [slides]
- Minimal submanifolds, mean curvature flow and the Gibbons-Hawking ansatz, 2019.
- Bryant-Salamon metrics and coassociative fibrations, 2019. [video of talk by collaborator Spiro Karigiannis] [slides by collaborator Spiro Karigiannis]
- Ancient solutions in Lagrangian mean curvature flow, 2019.
- Lagrangian mean curvature flow, expository talks for
Géométrie: échanges et perspectives, Paris, 2019.
- Global uniqueness of the Graham-Lee metrics on the 4-ball, (mainly) expository talk for Geometry Analysis reading seminar, 2019.
- The G2 Laplacian flow, 2018. [video]
- Remarks on the self-shrinking Clifford torus, 2018.
- An introduction to Gromov's compactness theorem for pseudoholomorphic curves, expository talk for Geometry Analysis reading seminar, 2018. [notes] (typeset by Chris Evans)
- Harmonic maps and topology, expository talk for Geometry Analysis reading seminar, 2018.
- Invariant coassociative 4-folds via gluing, 2017. [video]
- Laplacian flow and 4D geometry, expository talk for Workshop in G2 Geometry, Fields Institute, 2017. [video]
- Geometric flows of G2 structures, lecture for Mini-school in G2 Geometry, Fields Institute, 2017. [video] and [lecture notes]
- Calibrated submanifolds of G2 and Spin(7) manifolds with conical singularities, 2017. [video]
- Calibrated Geometry and Geometric Flows, lecture course for LTCC, 2017. [lecture notes]
- Gluing Eguchi-Hanson metrics and a question of Page, expository talk for Geometry Analysis reading seminar, 2017.
- Invariant G2 instantons, 2016-17. [video of talk by collaborator Goncalo Oliveira]
- The Laplacian flow in G2 geometry, 2015-17. [video of talk by collaborator Yong Wei] and [lecture notes by Yong Wei]
- Hyperkähler 4-manifolds with boundary, 2014-15. [video]
- Uniqueness of Lawlor necks, expository talk for Geometry Analysis reading seminar, 2014.
- Lagrangian mean curvature flow and symplectic topology, expository talk for Geometry Analysis reading seminar, 2014.
- Coupled flows and calibrated geometry, 2014. [slides] [video]
- Calibrated Submanifolds, lecture course for LMS--CMI Research School An Invitation to Geometry and Topology via G2, 2014.
[lecture notes]
- Introduction to Lagrangian mean curvature flow, expository talks for Geometry Analysis reading seminar, 2014. [notes] (typeset by Tom Begley and Kim Moore)
- Coassociative conifolds, 2013. [talk 1 slides] [talk 2 slides]
- Stability, conifolds and G2 geometry, 2013. [slides]
- The Holonomic Approximation Theorem, expository talk for London h-principle learning seminar, 2013. [scanned notes] (taken by Chris Wendl)
- Uniqueness of Lagrangian self-expanders, 2012. [slides]
- Deforming G2 conifolds, 2012. [slides] [video]
- Associative submanifolds of the 7-sphere, 2011. [slides]
Public engagement
-
Knotty problems, Balliol Online Lecture, Oxford, 2022.
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Me and My Maths - Part 4 , part of Me and My Maths series, Oxford, 2022.
[video]
- Minimising shapes, part of What's on Your Mind, Oxford, 2021. [video]
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Covering geometric objects with smallest shapes, part of What's on Your Mind? - Series 2, Oxford, 2020. [video]
- The Shape of the Universe, Pint of Science, 20 May 2019.
- Adventures in the 7th Dimension, British Science Festival, Swansea, 6 September 2016; UCL Lunch Hour Lecture, 2 March 2017 and LMS Popular Lectures 2017. [video]
- Unwrapping our Modern World, talk aimed at artists, general public and maths teachers, 2015-16.
- Take Your Brain to Another Dimension, Science Cabaret, Goldsmiths, London, 3 June 2015 and MAPS PhesDival, UCL, 15 June 2016.
- Seeing in 4D, talk aimed at artists, general public and maths teachers, 2014. [photo] (taken during an art and maths workshop)
- Ancient Puzzles and Modern Solutions: What the Greeks did for us, talk for sixth form students at Maths in Action, 2012--2013.
- Tiny Oblong Fetish, stand-up comedy routine for Bright Club: Tiny, Wilmington Arms, London, 18 September 2012.
- Academic Stand-up and Cognitive Development, interview for Word of Mouth, Radio 4, 17 April 2012. [audio]
- Connections in Many Dimensions (with a Lightsaber), stand-up comedy routine for Bright Club: Connections, Wilmington Arms, London, 20 March 2012. [photo]
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