Mary Vaughan

Mary Vaughan

Ph.D.

Department of Mathematics
The University of Texas at Austin


IMA Email: maryv [at] utexas [dot] edu
Office: 9.118 PMA

Welcome!
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.
The Dreams

In the broad light of day mathematicians check their equations and their proofs leaving no stone unturned in their search for rigor.
But, at night, under the full moon, they dream, they float among the stars and wonder at the miracles of the heavens.
They are inspired. Without dreams there is no art, no mathematics, no life.