My name is Mary Vaughan, and I am currently a RTG Postdoctocal Scholar at the University of Texas at Austin working under the supervision of Luis Caffarelli and Stefania Patrizi. Starting Summer 2023, I will be a Postdoctoral Researcher at the University of Western Australia working with Enrico Valdinoci and Serena Dipierro.
I earned my Ph.D. in Mathematics from Iowa State University in May 2020. My advisor was Pablo Raúl Stinga.
My research is in analysis and partial differential equations. I use techniques from PDEs, harmonic analysis, and functional analysis to study nonlocal and fractional equations. You can learn more on my research page.