email. cgartland [AT] ucsd [DOT] edu
Education.
- Undergraduate: Virginia Tech
- Graduate: University of Illinois Urbana-Champaign
Employment.
- Visiting Assistant Professor: Texas A&M
- S.E. Warschawski Visiting Assistant Professor: University of California San Diego (current)
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…)
Publications and Preprints.
- Freeman, Gartland. Lipschitz Functions on Unions and Quotients of Metric Spaces. Stud. Math. 2023
- Baudier, Gartland, Schlumprecht. L1-distortion of Wasserstein metrics: a tale of two dimensions. Trans. Amer. Math. Soc. Ser. B 2023
- Freeman, Gartland. Lipschitz Functions on Quasiconformal Trees. Fund. Math. 2023
- 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. to appear in Adv. Math. 2024
- Aliaga, Gartland, Petitjean, Prochazka. 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
Conference Organization.
Teaching.
- UCSD Winter 2024. MATH 180A Introduction to Probability.
- UCSD Fall 2023. MATH 180A Introduction to Probability.
- Texas A&M Spring 2023. MATH 663 Analysis and Geometry of Nilpotent Groups. Course Notes.
- Texas A&M Fall 2022. MATH 151 Honors Engineering Mathematics I.
- Texas A&M Fall 2021. MATH 308 Differential Equations.
- Texas A&M Fall 2020. MATH 151 Engineering Mathematics I.