Hi! I am a Ph.D. student in mathematics at the University of Minnesota, advised by Yulong Lu. My research provides theoretical guarantees and understanding of score-based generative models, and sampling, using tools from stochastic analysis, functional inequalities, and high-dimensional probability. I am particularly interested in understanding the structure of generative models in high-dimensions.
I completed my B.S. in mathematics at the University of Central Florida, where I did my undergraduate thesis under Dr. Robert Jenkins on the Inverse Scattering Transform for the Nonlinear Schrödinger equation. Previously, I worked with Dr. Zi-Xia Song on extremal graph theory, particularly co-critical graphs.
email: casas061512345293 umn edu