Research Interests for Robert Bryant

I'm interested in the geometry of partial differential equations (as always), but, more specifically, I have been thinking about conservation laws for PDE, Finsler geometry, calibrations, holonomy, and trying to learn more about Seiberg-Witten invariants and symplectic geometry.

Keywords:

Almost complex manifolds, calibrations, CR hypersurfaces, exterior differential systems, Finsler, Geometry, Differential, Global differential geometry, solitons

Areas of Interest:

exterior differential systems
differential geometry
algebraic geometry
Finsler geometry

Recent Publications   (search)

1. Buckmire, R; Beeton, B; Bryant, R; Gouvêa, FQ; Phillips, AV; Sullivan, D; Wolf, M, Michael Spivak: A Memorial, Notices of the American Mathematical Society, vol. 71 no. 6 (June, 2024), pp. 786-795 [doi]
2. Bryant, RL, Hessianizability of surface metrics (May, Preprint, 2024)
3. Bryant, R; Florit, L; Ziller, W, Curvature homogeneous hypersurfaces in space forms (April, Preprint, 2024)
4. Bryant, R, The generality of closed G_2 solitons, edited by Cheng, S-Y; Lima-Filho, P; Yau, SS-T; Yau, S-T, Pure and Applied Mathematics Quarterly, vol. 19 no. 6 (January, 2024), pp. 2827-2840, International Press [abs]
5. Bryant, R; Cheeger, J; Lima-Filho, P; Rosenberg, J; White, B, The mathematical work of H. Blaine Lawson, Jr., Pure and Applied Mathematics Quarterly, vol. 19 no. 6 (January, 2024), pp. 2627-2662, International Press