Research Themes

Computation & Artificial Intelligence

Bio

My primary area of expertise is the solution of nonlinear ordinary and partial differential equations for models of physical systems. Using asymptotics along with a mixture of other applied mathematical techniques in analysis and scientific computing I study a broad range of applications in engineering and applied science. Focuses of my work include problems in viscous fluid flow, dynamical systems, and industrial applications. Approaches for mathematical modelling to formulate reduced systems of mathematical equations corresponding to the physical problems is another significant component of my work.

Education

  • B.S.E. The Cooper Union, 1991
  • Ph.D. California Institute of Technology, 1995

Positions

  • Professor in the Department of Mathematics
  • Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science
  • Professor in the Department of Mechanical Engineering and Materials Science

Awards, Honors, and Distinctions

  • Top 5% teaching. Duke Arts and Science. 2018
  • Top 5% teaching. Duke Arts and Science. 2017
  • Faculty Early Career Development (CAREER) Program. National Science Foundation. 2003
  • Sloan Research Fellowship-Mathematics. Alfred P. Sloan Foundation. 2000

Courses Taught

  • MATH 895: Internship
  • MATH 799: Special Readings
  • MATH 790-90: Minicourse in Advanced Topics
  • MATH 577: Mathematical Modeling
  • MATH 575: Mathematical Fluid Dynamics
  • MATH 553: Asymptotic and Perturbation Methods
  • MATH 551: Applied Partial Differential Equations and Complex Variables

Publications