Hi! I'm a rising third-year mathematics undergraduate at the Georgia Institute of Technology, where I am fortunate to work with Prof. Amirali Aghazadeh. Briefly, my research interests are in theoretical machine learning, and mildly in mathematics and theoretical computer science. Outside of academics, I enjoy photography, writing, reading, and bouldering. This summer, I am participating in a REU at Williams College.
Research
My research focuses on developing and understanding machine learning models based on mathematical first principles. In generative modeling, I work on the mathematical theory of diffusion models on general manifolds, designing generative frameworks with optimal transport maps, and accelerating sampling for discrete processes, especially for structured biological data such as proteins. I also have a fundamental interest in quantifying complexity, which includes computationally investigating new physical frameworks like Assembly Theory to analyze their relationship with traditional statistical measures and their specific sensitivity to the hierarchical and procedural structure of objects.
I am also interested in Natural Language Processing, differential geometry, and high-dimensional statistics.