Other Projects
Over the past two years, I have been fortunate to conduct research under various professors in the math department at the University of Alberta. This experience has not only provided me with valuable research experience and critical thinking skills in mathematics but has also solidified my research skills. On the side, I did some projects on my own and course projects, which I have mentioned here.
$\gamma$ Joshua Joseph George, "Using Neural Networks to Solve Partial Differential Equations". Machine Learning. University of Alberta. 2023. [Paper], [Proposal], [Code]. Keywords: Physics Informed Neural Networks (PINNs), Finite Difference Method, Partial Differential Equations.
$\gamma$ Robert Joseph George, Joshua Joseph George, Davidson Noby. ”Water and Hydroelectric Power Sharing”. The Mathematical Contest in Modeling. COMAP’s Mathematical Contest in Modeling (MCM). 2022. [Paper]. Keywords: Linear Programming, Network Flow, Water Allocation.
$\gamma$ Joshua Joseph George, Oluwatimilehin Ajayi, Gurmol Sohi .“Fear of COVID-19 Vaccine Hesitancy using Sentiment Analysis and World Population Data”. Stem Fellowship Journal. 2022. [Paper]. Keywords: COVID-19, Sentiment Analysis, Misinformation.
$\gamma$ Audio Classifier: Built a deep audio classifier on the TESS emotional dataset using Convolutional Neural Networks. 2022. [Code].
$\gamma$ Brain Tumor detection: Built a brain tumor detector using Convolutional Neural Networks, Short-time Fourier transform. 2022. [Code].
$\gamma$ Lawrence Martinez, Joshua Joseph George, Aram Alyousef. "Dynamics and Public Health Measures of Tuberculosis in South Africa". Mathematical Modelling in Life Sciences. University of Alberta. 2022. [Paper]. Keywords: SIR model, Phase Plane Analysis.
$\gamma$ Joshua Joseph George. "Modular Groups". Group Theory I. University of Alberta. 2022. [Paper]. Keywords: Modular Forms, Fundamental Domain, Special linear groups, Eisenstein Series.
