Robert Bryant (mathematician)
Robert Bryant | |
---|---|
Bryant at Oberwolfach in 2012 | |
Born |
Robert Leamon Bryant August 30, 1953 Kipling, North Carolina, U.S. |
Nationality | American |
Fields | Mathematics |
Institutions |
Duke University University of California at Berkeley Rice University Mathematical Sciences Research Institute |
Alma mater |
North Carolina State University at Raleigh University of North Carolina at Chapel Hill |
Thesis | Some Aspects of the Local and Global Theory of Pfaffian Systems (1979) |
Doctoral advisor | Robert Brown Gardner |
Website fds |
Robert Leamon Bryant (born August 30, 1953) is an American mathematician and Phillip Griffiths Professor of Mathematics at Duke University.[1] He specializes in differential geometry. He served as the director of the Mathematical Sciences Research Institute (MSRI) from 2007 to 2013.[2] He is known for his work in exterior differential systems, special holonomy, and Finsler geometry. Bryant surfaces, surfaces of unit constant mean curvature in hyperbolic space, are named after him.[3] The Bryant soliton is also named after him.[1]
In 2013 he became a fellow of the American Mathematical Society.[4] He is also a member of the National Academy of Sciences. On February 1, 2015, he began his two-year term as president of the American Mathematical Society.[5][6]
Selected publications
- editor with David Bao, S. S. Chern, Zhongmin Shen: A sampler of Riemann-Finsler Geometry, Cambridge University Press 2004
- with Robert Brown Gardner, S. S. Chern, H. L. Goldschmidt, Phillip Griffiths: Exterior Differential Systems, MSRI Publ. 18, Springer Verlag 1991
- with Phillip Griffiths, Dan Grossmann: Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, Chicago Lectures in Mathematics, University of Chicago Press 2003[7]
- editor with Victor Guillemin, Sigurdur Helgason, R. O. Wells: Integral Geometry, Contemporary Mathematics 63, AMS 1987
- Metrics with exceptional holonomy, Annals of Mathematics, vol. 126, 1987, pp. 525–567
- An introduction to Lie groups and symplectic geometry, in Geometry and quantum field theory, IAS/Park City Math. Series 1, American Mathematical Society 1995, pp. 5–181
- with Lucas Hsu, Phillip Griffiths: Hyperbolic exterior differential systems and their conservation laws, Parts 1,2, Selecta Mathematica, 1, 1995, 21-112, 265-323
- with Griffiths: Characteristic Cohomology of Differential Systems, Parts 1,2, Journal of the AMS, vol. 8, 1995, pp. 507–596, Duke Math. J., vol. 78, 1995, pp. 531–676
- with Hsu, Griffiths: Toward a Geometry of Differential Equations, in: Geometry, Topology & Physics, Conf. Proc. Lecture Notes Geom. Topology, VI, International Press, Cambridge, MA, 1995, pp. 1–76
Bryant and David Morrison are the editors of vol. 4 of the Selected Works of Phillip Griffiths.
References
- 1 2 http://fds.duke.edu/db/aas/math/faculty/bryant
- ↑ "Biography: Robert Bryant". MSRI. 2008.
- ↑ Rosenberg, Harold (2002), "Bryant surfaces", The global theory of minimal surfaces in flat spaces (Martina Franca, 1999), Lecture Notes in Math., 1775, Berlin: Springer, pp. 67–111, doi:10.1007/978-3-540-45609-4_3, MR 1901614.
- ↑ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
- ↑ "Bryant Begins Term as AMS President". American Mathematical Society, Homepage. February 3, 2015.
- ↑ Robert L. Bryant, AMS Presidents: A Timeline
- ↑ Olver, Peter J. (2005). "Review: Exterior differential systems and Euler-Lagrange partial differential equations, by R. L. Bryant, P. A Griffiths, and D. A. Grossman" (PDF). Bull. Amer. Math. Soc. (N.S.). 42 (3): 407–412. doi:10.1090/s0273-0979-05-01062-1.