Mathematical Modeling
What if math could shape cleaner factories, happier homes, and smarter energy?
My journey in mathematical modeling has taken me from reducing CO₂ emissions in manufacturing plants, to creating a pet-compatibility index that earned the Outstanding Award in the Greater China International Mathematical Modeling Competition, to developing cutting-edge error-reduction models for Spectrafy’s solar irradiance devices—technology built by only three companies in the world.
IMMC INT Outstanding
Match Made in Heaven: Quantifying a Household's Readiness for Pet Ownership.
Email jameschang7123@gmail.com to request the full solution paper!
IMMC REG Meritorious
Reducing CO2 Emissions in a Production Plant.
Email jameschang7123@gmail.com to request the full solution paper!
Acknowledgements
I would like to thank Eric Qiang, Alexander Meng, and Allen Hong, my teammates in the 2024 International Mathematical Modeling Challenge (IMMC), for their incredible work and contributions to the project.
QuantaSol GeoSpatial Site Optimization Model
In many sun-rich, solar-poor regions between the tropics, abundant UV irradiance accelerates the degradation of traditional silicon solar cells, limiting their performance and lifespan. Despite high solar potential, these areas remain underserved by conventional technology.
Quantum dot solar cells provide a solution by converting harmful UV light into usable energy, extending durability and boosting efficiency where sunlight is most intense.
Through the QuantaSol predictive API model, we integrate factors such as irradiance, slope, aspect, and regional socioeconomic scores to pinpoint the best locations for QD solar farms—turning overlooked tropical sunlight into a reliable and profitable source of clean energy.
Acknowledgements
I’d like to thank Ryan Jiang from Shanghai American School, the main collaborator of the QuantaSol model development