HOME ABOUT RESEARCH PUBLICATIONS TALKS TEACHING SCHEDULE CONTACT Jason D. Lotay Professor of Pure Mathematics University of Oxford Fellow at Balliol College PUBLICATIONS PREPRINTS CONFERENCE PROCEEDINGS PUBLIC ENGAGEMENT BOOKS Publications with G. Oliveira, Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz, Journal of Differential Geometry 126 (2024), 1121-1184. [arXiv:2002.10391] with F. Schulze and G. Székelyhidi, Ancient solutions and translators of Lagrangian mean curvature flow, Publications Mathématiques de l'IHÉS (2024). [arXiv:2204.13836] with H.N. Sá Earp, The heterotic G2 system on contact Calabi-Yau 7-manifolds, Transactions of the American Mathematical Society, Series B 10 (2023), 907-943. [arXiv:2101.06767] with A. Kennon, Geometric flows of G2-structures on 3-Sasakian 7-manifolds, Journal of Geometry and Physics 187 (2023), 104793. [arXiv:2210.12962] with H.N. Sá Earp and J. Saavedra, Flows of G2-structures on contact Calabi-Yau 7-manifolds, Annals of Global Analysis and Geometry 62 (2022), 367-389. [arXiv:2111.01841] with G. Oliveira, Examples of deformed G2-instantons/Donaldson-Thomas connections, Annales de l'Institut Fourier 72 (2022), 339-366. [arXiv:2007.11304] with B. Lambert and F. Schulze, Ancient solutions in Lagrangian mean curvature flow, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 22 (2021), 1169-1205. [arXiv:1901.05383] with S. Karigiannis, Bryant-Salamon G2 manifolds and coassociative fibrations, Journal of Geometry and Physics 162 (2021), 104074. [arXiv:2002.06444] with B. Lambert, Spacelike mean curvature flow, Journal of Geometric Analysis 31 (2021), 1291-1359. [arXiv:1808.01994] with C.G. Evans and F. Schulze, Remarks on the self-shrinking Clifford torus, Journal für die Reine und Angewandte Mathematik 2020 (2020), 139-170. [arXiv:1802.01423] with S. Karigiannis, Deformation theory of G2 conifolds, Communications in Analysis and Geometry 28 (2020), 1057-1210. [arXiv:1212.6457] with T. Pacini, From Lagrangian to totally real geometry: coupled flows and calibrations, Communications in Analysis and Geometry 28 (2020), 607-675. [arXiv:1404.4227] with F. Schulze, Consequences of strong stability of minimal submanifolds, International Mathematics Research Notices 8 (2020), 2352-2360. [arXiv:1802.03941] with Y. Wei, Laplacian flow for closed G2 structures: real analyticity, Communications in Analysis and Geometry 27 (2019), 73-109. [arXiv:1601.04258] with Y. Wei, Stability of torsion-free G2 structures along the Laplacian flow, Journal of Differential Geometry 111 (2019), 495-526. [arXiv:1504.07771] with T. Pacini, Complexified diffeomorphism groups, totally real submanifolds and Kähler-Einstein geometry, Transactions of the American Mathematical Society 371 (2019), 2665-2701. [arXiv:1506.04630] with T. Pacini, From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness, Bollettino dell'Unione Matematica Italiana 12 (2019), 63-82: a special issue in memory of Paolo de Bartolomeis. [arXiv:1704.08226] with G. Oliveira, SU(2)2-invariant G2-instantons, Mathematische Annalen 371 (2018), 961-1011. [arXiv:1608.07789] with J. Fine and M. Singer, The space of hyperkähler metrics on a 4-manifold with boundary, Forum of Mathematics, Sigma 5 (2017). [arXiv:1603.08170] with Y. Wei, Laplacian flow for closed G2 Structures: Shi-type estimates, uniqueness and compactness, Geometric and Functional Analysis 27 (2017), 165-233. [arXiv:1504.07367] Desingularization of coassociative 4-folds with conical singularities: obstructions and applications, Transactions of the American Mathematical Society 366 (2014), 6051-6092. [arXiv:1209.5116] with A. Neves, Uniqueness of Lagrangian self-expanders, Geometry and Topology 17 (2013), 2689-2729. [arXiv:1208.2729] Associative submanifolds of the 7-sphere, Proceedings of the London Mathematical Society 105 (2012), 1183-1214. [arXiv:1006.0361] Stability of coassociative conical singularities, Communications in Analysis and Geometry 20 (2012), 803-867. [arXiv:0910.5092] Ruled Lagrangian submanifolds of the 6-sphere, Transactions of the American Mathematical Society 363 (2011), 2305-2339. [arXiv:0807.2084] Asymptotically conical associative 3-folds, The Quarterly Journal of Mathematics 62 (2011), 131-156. [arXiv:0802.3536] Deformation theory of asymptotically conical coassociative 4-folds, Proceedings of the London Mathematical Society 99 (2009), 386-424. [arXiv:math/0411116] with A. Kovalev, Deformations of compact coassociative 4-folds with boundary, Journal of Geometry and Physics 59 (2009), 63-73. [arXiv:0712.4325] Desingularization of coassociative 4-folds with conical Singularities, Geometric and Functional Analysis 18 (2008), 2055-2100. [arXiv:math/0611183] Coassociative 4-folds with conical singularities, Communications in Analysis and Geometry 15 (2007), 891-946. [arXiv:math/0601762] Calibrated submanifolds of R7 and R8 with symmetries, The Quarterly Journal of Mathematics 58 (2007), 53-70. [arXiv:math/0601764] 2-Ruled calibrated 4-folds in R7 and R8, Journal of the London Mathematical Society 74 (2006), 219-243. [arXiv:math/0401125] Constructing associative 3-folds by evolution equations, Communications in Analysis and Geometry 13 (2005), 999-1037. [arXiv:math/0401123] Preprints with H. de Lázari, E. E. Svanes and H. N. Sá Earp, Local descriptions of the heterotic SU(3) moduli space, 2024. [arXiv:2409.04382] with A. A. da Silva Jr., M. Garcia-Fernandez and H. N. Sá Earp, Coupled G2-instantons, 2024. [arXiv:2404.12937] with G. Oliveira, Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry, 2023. [arXiv:2305.05744] with F. Schulze and G. Székelyhidi, Neck pinches along the Lagrangian mean curvature flow of surfaces, 2022. [arXiv:2208.11054] with T. Madsen, Instantons on flat space: explicit constructions, 2022. [arXiv:2204.11517] Conference proceedings Examples of equivariant Lagrangian mean curvature flow, in Current Trends in Analysis, its Applications and Computation (Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019), Birkhäuser, 2022. [arXiv:2008.08067] Ancient solutions in Lagrangian mean curvature flow, in Oberwolfach Report 30/2019, 2019. [preliminary version] with G. Oliveira, G2-instantons on noncompact G2-manifolds: results and open problems, in Lectures and Surveys on G2 manifolds and related topics, Fields Institute Communications, Springer, 2020. [arXiv:1812.11867] [book] Geometric flows of G2 structures, in Lectures and Surveys on G2 manifolds and related topics, Fields Institute Communications, Springer, 2020. [arXiv:1810.13417] [book] Calibrated submanifolds, in Lectures and Surveys on G2 manifolds and related topics, Fields Institute Communications, Springer, 2020. [arXiv:1810.08709] [book] with T. Madsen, Instantons and special geometry, in Special Metrics and Group Actions in Geometry, Springer, 2017. [book] Deformations of G2 manifolds, in Oberwolfach Report 8/2015, 2015. [final version] Uniqueness of Lagrangian self-expanders, in Pure and Applied Differential Geometry -- PADGE 2012, Shaker, 2013. [book] Public engagement Lagrangian mean curvature flow, Snapshots of Modern Mathematics from Oberwolfach, September 2021. Por qué estudio la séptima dimensión, Café y Teoremas, El País, November 2018. [article] The geometry of our world, feature article, Physics World, April 2017. [article] Adventures in the 7th dimension, expository article, UCL De Morgan Newsletter, April 2017. Seeing in 4D, expository article, UCL De Morgan Newsletter, December 2015. Take your brain to another dimension, expository article, UCL De Morgan Newsletter, December 2015. Art and maths workshops, expository article, UCL De Morgan Newsletter, December 2014. Books Editor: with S. Karigannis and N. C. Leung, Lectures and Surveys on G2-Manifolds and Related Topics, Fields Institute Communications, Springer, 2020. [Springer website]