Joanna Goard

Joanna Goard is an Associate Professor and Honorary Fellow at the School of Mathematics and Applied Statistics, University of Wollongong, Australia, holding this position since 2022. Her academic profile bridges financial mathematics and biological applications through advanced mathematical techniques.

Her primary research interests include:

• Using ad-hoc techniques and symmetry methods to solve partial differential equations
• Mathematics of financial derivatives and their pricing mechanisms
• Relationship between stochastic differential equations for underlying financial variables and the PDEs governing derivative prices
• Future research directions in electricity derivatives pricing, MRJ stochastic modeling for electricity prices, and invariant solutions to initial value problems

Dr. Goard's publication record demonstrates consistent expertise across mathematical finance and applied mathematics. Her recent work (2019-2025) reveals a strong specialization in options pricing methodologies (covering American, European, straddle, and asset-or-nothing variants), Islamic finance contracts, oil price modeling, and exact solutions to complex differential equations. She frequently employs symmetry analysis and develops innovative analytical approximation techniques for financial instruments that lack closed-form solutions.

Dr. Goard has successfully supervised five higher degree research students to completion across diverse mathematical topics and secured external funding through an Australian Research Council Linkage Project grant (2008-2012) focused on volatility-based derivative contracts. Within her department, she coordinates the Master of Financial Mathematics program and organizes undergraduate work experience placements, demonstrating commitment to both research and educational development.