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Jason D. Lotay

Jason D. Lotay
EPSRC Career Acceleration Fellow
Lecturer in Pure Mathematics
University College London



Publications

  1. Desingularization of Coassociative 4-folds with Conical Singularities: Obstructions and Applications, to appear in Transactions of the American Mathematical Society. [arXiv:1209.5116]

  2. with A. Neves, Uniqueness of Lagrangian Self-Expanders, to appear in Geometry and Topology. [arXiv:1208.2729]

  3. Associative Submanifolds of the 7-Sphere, Proceedings of the London Mathematical Society 105 (2012), 1183-1214. [arXiv:1006.0361]

  4. Stability of Coassociative Conical Singularities, Communications in Analysis and Geometry 20 (2012), 803-867. [arXiv:0910.5092]

  5. Ruled Lagrangian Submanifolds of the 6-Sphere, Transactions of the American Mathematical Society 363 (2011), 2305-2339. [arXiv:0807.2084]

  6. Asymptotically Conical Associative 3-folds, The Quarterly Journal of Mathematics 62 (2011), 131–156. [arXiv:0802.3536]

  7. Deformation Theory of Asymptotically Conical Coassociative 4-folds, Proceedings of the London Mathematical Society 99 (2009), 386-424. [arXiv:math/0411116]

  8. with A. Kovalev, Deformations of Compact Coassociative 4-folds with Boundary, Journal of Geometry and Physics 59 (2009), 63-73. [arXiv:0712.4325]

  9. Desingularization of Coassociative 4-folds with Conical Singularities, Geometric and Functional Analysis 18 (2008), 2055-2100. [arXiv:math/0611183]

  10. Coassociative 4-folds with Conical Singularities, Communications in Analysis and Geometry 15 (2007), 891-946. [arXiv:math/0601762]

  11. Calibrated Submanifolds of R7 and R8 with Symmetries, The Quarterly Journal of Mathematics 58 (2007), 53-70. [arXiv:math/0601764]

  12. 2-Ruled Calibrated 4-folds in R7 and R8, Journal of the London Mathematical Society 74 (2006), 219-243. [arXiv:math/0401125]

  13. Constructing Associative 3-folds by Evolution Equations, Communications in Analysis and Geometry 13 (2005), 999-1037. [arXiv:math/0401123]


Preprints

  1. with S. Karigiannis, Deformation Theory of G2 Conifolds, 2012. [arXiv:1212.6457]