Jason D. Lotay


I am an NSF Postdoctoral Fellow at MSRI from August 2007 to September 2008. My research is in differential geometry. I am interested in calibrated submanifolds of 7 and 8-dimensional Riemannian manifolds with exceptional holonomy.


Curriculum Vitae

Publications

  1. Asymptotically Conical Associative 3-folds, preprint, 2008. [arXiv:0802.3536]
  2. with A. Kovalev, Deformations of Compact Coassociative 4-folds with Boundary, preprint, 2007. [arXiv:0712.4325]
  3. Desingularizations of Coassociative 4-folds with Conical Singularities, to appear in Geometric and Functional Analysis. [arXiv:math/0611183]
  4. Calibrated Submanifolds of R^7 and R^8 with Symmetries, The Quarterly Journal of Mathematics 58 (2007), 53-70. [arXiv:math/0601764]
  5. Coassociative 4-folds with Conical Singularities, to appear in Communications in Analysis and Geometry. [arXiv:math/0601762]
  6. Deformation Theory of Asymptotically Conical Coassociative 4-folds, submitted for publication. [arXiv:math/0411116]
  7. 2-Ruled Calibrated 4-folds in R^7 and R^8, Journal of the London Mathematical Society 74 (2006), 219-243. [arXiv:math/0401125]
  8. Constructing Associative 3-folds by Evolution Equations, Communications in Analysis and Geometry 13 (2005), 999-1037. [arXiv:math/0401123]

Schedule

17 February -- 22 February 2008 Special Structures in Riemannian Geometry Banff International Research Station, Banff
3 March 2008 Lagrangian Submanifolds of the Almost Symplectic 6-sphere Northern California Symplectic Geometry Seminar, UC Berkeley
28 April 2008 Coassociative Submanifolds with Boundary Differential Geometry Seminar, UC Berkeley
5 May -- 9 May 2008 Exterior Differential Systems and the Method of Equivalence MSRI, Berkeley
20 May 2008 TBD Mathematics Colloquium, UC Santa Cruz

Contact Details

Address: Mathematical Sciences Research Insitute, 17 Gauss Way, Berkeley, California, 94720-5070
Phone: (510) 643-6022
Fax: (510) 642-8609
E-mail: jlotay@msri.org