David A. Edwards

David A. Edwards is a Professor of Mathematics at the Department of Mathematical Sciences, University of Delaware, where he has been tenured since 2007. His work spans applied mathematics, industrial modeling, and interdisciplinary research involving polymer diffusion, mathematical finance, bioreactions, and 3D printing.

Education:

• B.S. in Applied Mathematics, California Institute of Technology (1990)
• Ph.D. in Applied Mathematics, Caltech (1994)

Research Interests focus on solving real-world problems via asymptotic methods and numerical modeling. Key areas include:

• Polymer diffusion (non-Fickian transport, trapping skinning)
• Biosensor dynamics (steric hindrance, receptor heterogeneity)
• Mathematical finance (mortgage refinancing, options pricing)
• 3D printing (extrusion rates, welding temperatures)
• Biological systems (olfactory signaling, blood clotting)
• Industrial applications (fuel cells, UV irradiation effects)

Recent Publications analyze copulas in finance, weld strength in additive manufacturing, and thermal models for 3D printers, reflecting his interdisciplinary approach.

Scientific Awards:

• Caltech Merit Scholar
• Southern California Edison Scholarship
• National Merit Scholarship
• University of Delaware Arts and Science Award
• Outstanding RSO Advisor (2018)
• NSF, NIH, and UD Research Foundation grants

Advising includes PhD/MS students in applied mathematics and undergraduate researchers working on topics like optical biosensors and 3D printing dynamics. He has co-organized Mathematical Problems in Industry Workshops and advised on NSF-funded modeling camps.