I received my PhD in math at UIUC in May 2020 under Jeremy Tyson.
I received Bachelor of Science degrees in Mathematics and Engineering Science and Mechanics from Virginia Tech, Master of Science degree in Mathematics from Virginia Tech. My Master's thesis, "Cycle-Free Twisted Face-Pairing 3-Manifolds", was written under the supervision of William Floyd.
My general research interests are in metric space analysis and geometry; particularly embeddings involving Banach spaces, groups (especially Carnot), graphs, and fractals.
PublicationsGartland. Estimates on the Markov Convexity of Carnot Groups and Quantitative Nonembeddability. J. Func. Anal. accepted.
Dilworth, Gartland, Kutzarova, Randrianarivony. Nondentable Sets in Banach Spaces. J. Convex Anal. accepted.
Gartland. Thick Families of Geodesics and Differentiation. J. Anal. Math. accepted.
Gartland, Jung, Romney. Quasiconformal Mappings on the Grushin Plane. Math. Z. 2017, Volume 287, Issue 3-4, p. 915–928.
PreprintsGartland. Lipschitz Free Spaces over Locally Compact Metric Spaces.
SlidesNonBilipschitz Embeddability into RNP Spaces: Thick Families of Geodesics and Differentiation
The Ribe Program and Markov Convexity of Filiform Groups
Lipschitz Free Spaces over Locally Compact Metric Spaces