Home » People » Pierce, Virgil U.

Pierce, Virgil U.

Office:MW 556 (Columbus)
Phone:614-292-5254 (Columbus)
Email:
Website:http://www.math.ohio-state.edu/~vpierce
OSU ID:pierce.280
Research Areas:Applied Mathematics
Combinatorics and Mathematical Physics
My research involves the use of methods from integrable systems to study the behavior of large random matrices.
Teaching:View Teaching Schedule

Office Hours
MWF 10:30-11:30
MTW 5-6

Selected Publications

  1. Y. Kodama, V. U. Pierce, and F.-R. Tian, On the Whitham equations for the defocusing complex modified KdV equation, 0710.2632 (2007)
  2. Y. Kodama and V. U. Pierce, Geometry of the Pfaff lattices. to appear IMRN (2007).
  3. V. U. Pierce and F.-R. Tian, Self-similar solutions of the non-strictly hyperbolic Whitham equations for the KdV hierarchy, Dynamics of PDE (2007).
  4. V. U. Pierce, Combinatoric results for graphical enumeration and the higher Catalan numbers. math.CO/0703160, (2007).
  5. V. U. Pierce, An algorithm for map enumeration. math.CO/0610586, (2006).
  6. N. M. Ercolani, K. T.-R. McLaughlin, and V. U. Pierce, Random matrices, graphical enumeration and the continuum limit of the Toda lattices. to appear Comm. Math. Phys. (2007)
  7. V. U. Pierce, A Riemann-Hilbert problem for skew-orthogonal polynomials. to appear JCAM (2007).
  8. V. U. Pierce and F.-R. Tian, Large time behavior of the zero dispersion limit of the fifth order KdV equation. Dynamics of PDE, 4, (2007) 87-109.
  9. V. U. Pierce and F.-R. Tian, Self-Similar solutions of the non-strictly hyperbolic Whitham equations, Commun. Math. Sci. 4 (2006) 799-822.
  10. V. U. Pierce, Determining the potential of a Sturm-Liouville operator from its Dirichlet and Neumann spectra, The Pacific Journal of Mathematics, 204 (2002), 2, 497-509.