Chris Gartland
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, "CycleFree Twisted FacePairing 3Manifolds", 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 34, p. 915–928. PreprintsGartland. Lipschitz Free Spaces over Locally Compact Metric Spaces.SlidesNonBilipschitz Embeddability into RNP Spaces: Thick Families of Geodesics and DifferentiationThe Ribe Program and Markov Convexity of Filiform Groups Lipschitz Free Spaces over Locally Compact Metric Spaces Teaching
 
