Gavin Ball

I am a CIRGET postdoctoral fellow based at Université du Québec à Montréal, and I teach at McGill University.


My research interests are in differential geometry and the geometry of partial differential equations. I am especially interested in the geometry of manifolds with special holonomy.


I got my PhD in mathematics at Duke University in May 2019 working under the supervision of Robert Bryant. I was a graduate student participant in the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics.


I organise a CIRGET working group with Michael Albanese.

Email: gavin.ball[at]cirget.ca

Email for McGill teaching: gavin.ball[at]mcgill.ca

Papers and Preprints

  • Quadratic closed G2-structures. arXiv:2006.14155 (June 2020) Submitted. 42 pages.

  • The DT-instanton equation on almost Hermitian 6-manifolds, with Gonçalo Oliveira. arXiv:2006.13399 (June 2020) Submitted. 28 pages.

  • Associative Submanifolds of the Berger Space, with Jesse Madnick. arXiv:2003.13169 (Mar 2020) Submitted. 28 pages.

  • Closed G2-structures with conformally flat metric. arXiv:2002.01634 (Feb 2020) Submitted. 19 pages.

  • The Mean Curvature of First-Order Submanifolds in Exceptional Geometries with Torsion, with Jesse Madnick. arxiv:1909.08119 (Sept 2019) Submitted. 37 pages.

  • The Mean Curvature of Special Lagrangian 3-folds in SU(3)-Structures, with Jesse Madnick. arxiv:1905.03713 (Sept 2019) Submitted. 24 pages.

  • Gauge Theory on Aloff-Wallach Spaces, with Gonçalo Oliveira. Geometry & Topology 23 (2019) 685–743 (preprint available at arXiv:1610.04557)