
Mary C Vaughan
Instructor
Department of MathematicsPDEs & Harmonic Analysis: nonlocal equations, fractional operators, regularity theory

Academic Positions
 RTG Postdoctoral Scholar
The University of Texas at Austin, Austin, TX, 2020present
Education
 Ph.D. in Mathematics
Iowa State University, Ames, IA, 20152020  B.S. in Mathematics
University of Wisconsin  La Crosse, La Crosse, WI, 20112015
 RTG Postdoctoral Scholar

Partial Differential Equations & Harmonic Analysis
 Nonlocal equations
 Fractional derivatives
 Regularity theory
 Harnack inequalities
 MongeAmpĂ¨re equations
 Materials modeling
 Peridynamics

You can find My papers and preprints on the ArXiv.

Fractional elliptic equations in nondivergence form: definition, applications and Harnack inequality
J. Math. Pures Appl., 2021 (with P. R. Stinga) 
Onesided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces
Nonlinear Anal., 2020 (with P. R. Stinga) 
The dual Kaczmarz algorithm
Acta Appl Math., 2020 (with A. Aboud, E. Curl, S. N. Harding, and E. S. Weber)


Current Course
 Fall 2021: M 427J  Differential Equations with Linear Algebra
Previous courses at the University of Texas at Austin
 Spring 2021: M 427L  Advanced Calculus for Applications II
 Fall 2020: M 408L  Integral Calculus
Previous courses at Iowa State University
Instructor of Record
 Summer 2019: Math 266/7  Elementary Differential Equations & Laplacs Transforms
 Spring 2018: Math 166  Calculus II
 Summer 2017: Math 166  Calculus II
Teaching Assistant
 Fall 2017: Math 165  Calculus I (TeamBased Learning)
 Fall 2016: Math 160  Survey of Calculus
 Spring 2016: Math 265  Calculus III
 Fall 2015: Math 166  Calculus II