Research
Current Research
Past Research
Wang Tilings in Arbitrary Dimensions (2024):
Select findings from my Honors Thesis (posted below) were published in the Rose-Hulman Undergraduate Mathematics Journal. In particular, this paper focuses on the extension of Wang Tiles into arbitrary dimensions and finds that the existence of a tiling with periodicity in d dimensions can be inferred from the existence of a tiling with periodicity in (d-1) dimensions. The publication can be found here: https://scholar.rose-hulman.edu/rhumj/vol25/iss1/3/.
Convolutional Deep Colorization for Image Compression (2023):
During my senior year of undergrad I took a graduate class on deep learning (taught by Dr. Stefan Lee). The final assignment for the class was to complete a research project on a subject of our choosing with some novel contribution to the research space. My team and I chose to work on image colorization and combined techniques used in existing works. Particularly we use a color-grid to preserve some color information and use a convolutional neural network architecture.
Deep_Colorization_for_Image_Compression__A_Color_Grid_Based_Approach.pdfUndergraduate Honors Thesis (2023):
My honors thesis, titled An Exploration Into The Ever-changing Expanse of Non-periodic Tilings, was an investigation into Wang tiles. It includes a summary of existing work on the subject as well as new findings. Dr. Huck Bennett mentored me through the thesis process and my thesis committee included: Dr. Huck Bennett, Dr. Stefan Lee, Dr. Roger Roybal, and Dr. Amir Nayyeri.
Honors Thesis.pdf