I'm a PhD student in the Mathematics Department at UIUC.
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. My advisor is Jeremy Tyson.
PublicationsGartland, Jung, Romney. Quasiconformal Mappings on the Grushin Plane. Math. Z. 2017, Volume 287, Issue 3-4, p. 915–928.
Gartland. Thick Families of Geodesics and Differentiation. J. Anal. Math. accepted.
PreprintsGartland. Estimates on the Markov Convexity of Carnot Groups and Quantitative Nonembeddability.
Dilworth, Gartland, Kutzarova, Randrianarivony. Non-Dentable Sets in Banach Spaces.
Slides and PostersNonBilipschitz Embeddability into RNP Spaces: Thick Families of Geodesics and Differentiation. AMS 2019 Fall Central Sectional Meeting. University of Wisconsin-Madison, September 2019
Estimates on Markov Convexity of Carnot Groups. Pansu's Fest. University of Oxford, September 2019