- Philip Griffiths Professor of Mathematics
- Professor in the Department of Mathematics
Tuesdays and Thursdays, 10:30-12:00PM, and by appointment
Research Areas and Keywords
Algebra & Combinatorics
Geometry: Differential & Algebraic
PDE & Dynamical Systems
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.
Most recently, I have been named as the Director of the Simons Collaboration "Special Holonomy in Geometry, Analysis, and Physics", and so most of my research lately and in the near future will be directed towards problems in this area.
Bryant, RL. "Calibrated embeddings in the special Lagrangian and coassociative cases." Annals of Global Analysis and Geometry 18.3-4 (2000): 405-435. Open Access Copy
Bryant, RL. "Harmonic morphisms with fibers of dimension one." Communications in Analysis and Geometry 8.2 (2000): 219-265. (Academic Article) Open Access Copy
Bryant, RL. "Calibrated Embeddings in the Special Lagrangian and Coassociative Cases." Annals of Global Analysis and Geometry 18.3-4 (2000): 405-435. Open Access Copy
Bryant, RL. "Projectively flat Finsler 2-spheres of constant curvature." Selecta Math. (N.S.) 3.2 (1997): 161-203. Open Access Copy
Bryant, RL, and Griffiths, PA. "Characteristic cohomology of differential systems. I. General theory." Journal of the American Mathematical Society 8.3 (September 1, 1995): 507-507. Full Text
Griffiths, PA, Hsu, L, and Bryant, RL. "Hyperbolic exterior differential systems and their conservation laws, Part I." Selecta Math. (N.S.) 1.1 (1995): 21-112.
Griffiths, PA, Hsu, L, and Bryant, RL. "Hyperbolic exterior differential systems and their conservation laws, Part II." Selecta Math. (N.S.) 1.2 (1995): 265-323.
Some geometric constructions of holonomy plane fields and their analysis. IHP Workshop "Equivalence, invariants, and symmetries of vector distributions and related structures: from Cartan to Tanaka and beyond". Institut Henri Poincaré, Paris France....