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Math @ Duke



Robert Bryant, Philip Griffiths Professor of Mathematics and Professor of Computer Science

Robert Bryant
Contact Info:
Office Location:  103 Physics
Office Phone:  (919) 660-2800, (919) 660-2817
Email Address: send me a message
Web Pages:

Teaching (Fall 2016):  (typical courses)

  • MATH 323S.01, GEOMETRY Synopsis
    Gross Hall 104, TuTh 03:05 PM-04:20 PM
Office Hours:

Tuesdays and Thursdays, 10:30-12:00PM, and by appointment

Ph.D.University of North Carolina at Chapel Hill1979
BSNorth Carolina State University at Raleigh1974
B.A.North Carolina State University1974

Mathematical Physics
Research Interests: Nonlinear Partial Differential Equations and Differential Geometry

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.

Areas of Interest:

exterior differential systems
differential geometry
algebraic geometry
Finsler geometry


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


Currently serving as President of the American Mathematical Society (2015-2017)
Curriculum Vitae
Current Ph.D. Students   (Former Students)

Recent Publications   (More Publications)   (search)

  1. R. Bryant, On the convex Pfaff-Darboux Theorem of Ekeland and Nirenberg (Preprint, December 22, 2015) [arXiv:1512.07100]  [abs]
  2. R. Bryant, On the conformal volume of 2-tori (Preprint, July 6, 2015) [arXiv:1507.01485]  [abs]
  3. R.L. Bryant, Notes on Exterior Differential Systems (Preprint, May, 2014) [arXiv:1405.3116]  [abs] [author's comments]
  4. R.L. Bryant, S.-s. Chern's study of almost-complex structures on the six-sphere (Preprint, May, 2014) [arXiv:1405.3405]  [abs]
  5. with Michael G. Eastwood, A. Rod. Gover, Katharina Neusser, Some differential complexes within and beyond parabolic geometry (Accepted, December, 2011) [arXiv:1112.2142v2]  [abs] [author's comments]
Selected Invited Lectures

  1. Parking Cars, Rolling Balls, and Falling Cats: The Concept of Holonomy, May 22, 2013, Simons Foundation in New York City    
  2. Geometry Old and New: From Euclid to String Theory, November 1, 2012, Humboldt State University, Arcata, CA [title.]    
  3. Applications of Cartan's generalization of Lie's Third Theorem, June 13, 2011, Centre de Rescherches Mathématiques, Montreal, CA [various]    
  4. The idea of Holonomy, October 14, 2010, MAA Carriage House, Washington, DC [the-idea-of-holonomy]    
  5. On the life and work of S.-S. Chern, August 19, 2010, ICM in Hyderabad, India [Ch]    
Recent Grant Support

  • Special Holonomy In Geometry, Analysis and Physics, Simons Foundation, 2016/07-2020/06.      
  • The Geometry of Partial Differential Equations, National Science Foundation, DMS-1359583, 2013/09-2015/06.      
  • The Geometry of Partial Differential Equations and Applications, National Science Foundation, DMS-1359583, 2013/07-2015/06.      
Conferences Organized
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320