Debra Polignone Warne

Debra Polignone Warne is a Professor of Applied Mathematics in the Department of Mathematics & Statistics at James Madison University (JMU), where she has been since 2000. Her research focuses on continuum mechanics, nonlinear elasticity, differential equations, and hypercomplex numbers. She holds a PhD in Applied Mathematics from the University of Virginia (1993), preceded by an MS (1991) and BS (1989) in Applied Mathematics from the University of Virginia and University of Pittsburgh, respectively.

Her research interests include the mathematical modeling of deformable solids, nonlinear material behavior, and analytical solutions to complex mechanical systems. Key contributions involve torsion analysis in elastic cylinders, biomechanical models of cerebral aneurysms, and asymptotic studies of hyperelastic materials under load.

No awards or grants are explicitly listed in the provided text. She has collaborated with researchers like P.G. Warne and Amber Russell (via co-authorships), but no student advisees are mentioned here. Her work bridges theoretical mathematics with engineering applications, particularly in solid mechanics and biomedical contexts.