Robert Young

Associate Professor of Mathematics

20052019
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Dehn Function Mathematics
Heisenberg Group Mathematics
Lipschitz Mathematics
Nilpotent Group Mathematics
Invariant Mathematics
Horizontal Mathematics
Carnot Group Mathematics
Higher Order Mathematics

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Research Output 2005 2019

  • 21 Article
  • 1 Conference contribution

Dehn functions and Hölder extensions in asymptotic cones

Lytchak, A., Wenger, S. & Young, R., Jan 1 2019, (Accepted/In press) In : Journal fur die Reine und Angewandte Mathematik.

Research output: Contribution to journalArticle

Dehn Function
Asymptotic Cone
Cones
Quadratic Function
Quasi-isometry

Quantitative nonorientability of embedded cycles

Young, R., Jan 15 2018, In : Duke Mathematical Journal. 167, 1, p. 41-108 68 p.

Research output: Contribution to journalArticle

Geometric Measure Theory
Cycle
Invariant
Invariant Measure
Closed

Vertical perimeter versus horizontal perimeter

Naor, A. & Young, R., Jul 1 2018, In : Annals of Mathematics. 188, 1, p. 171-279 109 p.

Research output: Contribution to journalArticle

Perimeter
Isoperimetric
Horizontal
Generating Set
Vertical

The integrality gap of the goemans-linial SDP relaxation for sparsest cut is at least a constant multiple of √logn

Naor, A. & Young, R., Jun 19 2017, STOC 2017 - Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing. Association for Computing Machinery, Vol. Part F128415. p. 564-575 12 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Group theory
Decomposition
Functional analysis
Harmonic analysis
Geometry

High-Dimensional Fillings in Heisenberg Groups

Young, R., Apr 1 2016, In : Journal of Geometric Analysis. 26, 2, p. 1596-1616 21 p.

Research output: Contribution to journalArticle

Heisenberg Group
High-dimensional
Dehn Function
Cycle
Horizontal