Ariel Barton

Ariel Barton is an Associate Professor in the Department of Mathematical Sciences at the University of Arkansas, affiliated with the Fulbright College of Arts & Sciences. His research focuses on partial differential equations, particularly higher-order elliptic equations and boundary value problems. He holds a PhD and MS in Mathematics from the University of Chicago and a BS in Mathematics from Harvey Mudd College.

His work emphasizes the analysis of elliptic equations in non-smooth domains, employing techniques from harmonic analysis and layer potential theory. Key topics include Neumann and Dirichlet problems, estimates for layer potentials, and the behavior of solutions under rough coefficients.

Barton's recent publications explore the interplay between functional spaces (e.g., Besov and Sobolev spaces) and boundary value problems, as well as perturbation methods for elliptic systems. His contributions address foundational questions in the field, with applications to both theoretical and applied mathematics.

While no awards or grants are explicitly listed, his CV and research output reflect sustained engagement with advanced mathematical analysis. No lab affiliations or teams are mentioned in the provided materials.