om Department of Mathematics, University of Illinois at Urbana-Champaign

Chris Gartland

Email:	cgartla2 AT illinois DOT edu
Office:	Coble Hall B2 University of Illinois 801 S. Wright Street Champaign, IL 61820

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.

Publications

Gartland. 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.

Preprints

Gartland. Lipschitz Free Spaces over Locally Compact Metric Spaces.

Slides

NonBilipschitz 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

Teaching

Teaching Assistant:	Math 415 Applied Linear Algebra (UIUC, Fall 2018, Spring 2019, Fall 2019, Spring 2020) Math 234 Calculus for Business I (UIUC, Spring 2016, Spring 2017, Spring 2018) Math 101 Thinking Mathematically (UIUC, Fall 2017) Math 221 Calculus I (UIUC, Fall 2016) Math 241 Calculus III (UIUC, Fall 2014, Spring 2015, Fall 2015)
Instructor:	Math 1205 Calculus I (Virginia Tech, Fall 2013) Math 1224 Vector Geometry (Virginia Tech, Summer 2013)


Department of Mathematics 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Telephone: (217) 333-3350 Fax: (217) 333-9576 Email: math@illinois.edu	College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign