Robert Young

ryoung@cims.nyu.edu / rjy214@nyu.edu
WWH 601
251 Mercer St.
New York, NY 10012
Phone: (212)998-3156

Teaching

Spring 2024: Differential Geometry II (graduate)
Fall 2023: Topics in Geometry: Introduction to Geometric Group Theory (graduate)
Spring 2023: Topics in Geometry: Nilpotent groups and subriemannian geometry (graduate)
Spring 2022: Topics in Geometry: Quantitative Geometry and Topology (graduate)
Fall 2021: Topology I (graduate)
Spring 2020: Topics in Geometry: Quantitative Differentiability and Rectifiability (graduate)
Spring 2020: Differential Geometry II (graduate)
Fall 2019: Theory of Numbers
Spring 2019: Algebra
Spring 2019: Differential Geometry II (graduate)
Fall 2018: Topics in Geometry: Quantitative Geometry (graduate)
Spring 2018: Topics in Geometry: Geometric Group Theory (graduate)
Spring 2018: Differential Geometry
Fall 2017: Algebra
Spring 2017: Algebra II (graduate)
Spring 2017: Differential Geometry II (graduate)
Spring 2016: Differential Geometry II (graduate)
Fall 2015: Topology I (graduate)
Spring 2015: Randomness and Complexity in Geometry (graduate)
Fall 2014: Algebra

Conferences

I co-organized the 2015 Geometry Festival at NYU and Singularities: Geometric, Topological, and Analytic Aspects at the Simons Foundation.

Preprints

My papers can be found at the arXiv; here are some slides and notes from courses and talks I've given:

Slides for "Surfaces in the Heisenberg group and quantitative rectifiability", Cortona, 2024
Slides for "Composing and decomposing surfaces and functions", ICM 2022
Composing and decomposing surfaces and functions, for the Proceedings of the International Congress of Mathematicians, 2022
Notes on quantitative rectifiability and differentiability, Spring 2020
Hölder maps to the Heisenberg group and self-similar solutions to extension problems, September 2019
Embeddings of the Heisenberg group, uniform rectifiability, and the Sparsest Cut Problem, June 2018
Borel Seminar on nilpotent groups, diagrams and exercises, Summer 2017
Slides on "Embeddings of the Heisenberg group and the Sparsest Cut Problem", July 2017
Slides on "Filling invariants for lattices in symmetric spaces", MSRI, Sep. 2016
Slides on "Filling multiples of embedded curves and quantifying nonorientability", June 2015
Notes on "Examples of buildings" from my Winter 2013 topics course, Apr. 2013
Notes (1, 2, 3, 4, 5) from a 5-lecture course aimed at high-school students on "The geometry of surfaces and 3-manifolds", Mathcamp Jul. 2012
Slides from "Filling functions and nonpositive curvature", Coarse Geometry of Infinite Groups, Lille, France, Jun. 2012
Slides from "Homological and homotopical filling functions", University of Toronto, Feb. 2012
Slides from my MSRI/Evans lecture, "An introduction to the Dehn function", Oct. 2011
An outline of my minicourse at CRM, Jan. 2011
"The Dehn function of SL(n;Z)", from a talk at Tufts, Oct. 2009
Some expository notes on asymptotic cones and filling inequalities, from a talk at "The Isoperimetric Inequality for SL(n,Z)", Sep. 2008