WWH 601

251 Mercer St.

New York, NY 10012

- 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

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

- 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
- HÃ¶lder 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