Biography
Research Interests
- Metric space analysis and geometry. See Analysis on Metric Spaces for a nice short survey.
- Nilpotent (particularly Carnot) groups.
- Geometric functional analysis and the Ribe program. See An Introduction to the Ribe Program for a nice survey.
- Transportation cost spaces (aka Lipschitz free spaces, Arens-Eels spaces, Kantorovich-Rubinstein metric, Wasserstein-1 metric, earth mover's distance...)
Educational Background
- BS Engineering Science and Mechanics, Virginia Tech
- BS Mathematics, Virginia Tech
- MS Mathematics, Virginia Tech
- PhD Mathematics, UIUC
Selected Publications
- Freeman, Gartland. Lipschitz Functions on Unions and Quotients of Metric Spaces. accepted to Stud. Math. arXiv 2022
- Baudier, Gartland, Schlumprecht. L1-distortion of Wasserstein metrics: a tale of two dimensions. accepted to Trans. Am. Math. Soc. arXiv 2022
- Freeman, Gartland. Lipschitz Functions on Quasiconformal Trees. accepted to Fund. Math. arXiv 2022
- Eriksson-Bique, Gartland, Le Donne, Naples, Nicolussi-Golo. Nilpotent groups and biLipschitz embeddings into L1. Int. Math. Res. Not. 2022
- Baudier, Gartland. Umbel Convexity and the Geometry of Trees. arXiv 2021
- Aliaga, Gartland, Petitjean, Procházka. Purely 1-Unrectifiable Metric Spaces and Locally Flat Lipschitz Functions. Trans. Am. Math. Soc. 2022
- Gartland. Lipschitz Free Spaces over Locally Compact Metric Spaces. Stud. Math. 2021
- Dilworth, Gartland, Kutzarova, Randrianarivony. Nondentable Sets in Banach Spaces. J. Convex Anal. 2021
- Gartland. Estimates on the Markov Convexity of Carnot Groups and Quantitative Nonembeddability. J. Funct. Anal. 2020
- Gartland. Thick Families of Geodesics and Differentiation. J. Anal. Math. 2021
- Jung, Gartland, Romney. Quasiconformal mappings on the Grushin plane. Math. Z. 2017