[speight]

Associate Professor, University of Cincinnati

**Email:** *Gareth.Speight AT uc.edu*

**Home-page:** https://sites.google.com/view/garethspeight/home

- A. Pinamonti - G. Speight - M. Capolli (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group (2021) - S. Eriksson-Bique - G. Giovannardi - R. Korte - N. Shanmugalingam - G. Speight (Preprint)

Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry (2020) - V. Magnani - A. Pinamonti - G. Speight (
*Ann. Mat. Pura Appl.*)

Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups (2019) - A. Pinamonti - G. Speight (Accepted Paper:
*Israel Journal of Mathematics*)

Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step (2019) - N. Shanmugalingam - P. Lahti - L. MalĂ˝ - G. Speight (Accepted Paper:
*Journal of Geometric Analysis*)

Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient (2018) - A. Pinamonti - G. Speight - S. Zimmerman (Accepted Paper:
*Trans AMS*)

A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group (2018) - E. Le Donne - A. Pinamonti - G. Speight (Accepted Paper: J. Math. Pures Appl.)

Universal differentiability sets and maximal directional derivatives in Carnot groups (2017) - A. Pinamonti - G. Speight (Accepted Paper:
*Journal of Geometric Analysis*)

Porosity, Differentiability and Pansu's Theorem (2016) - E. Le Donne - G. Speight (
*Calculus of Variations and Partial Differential Equations*)

Lusin Approximation for Horizontal Curves in Step 2 Carnot Groups (2016) - A. Pinamonti - G. Speight (Illinois Journal of Math. )

Structure of Porous Sets in Carnot Groups (2016) - A. Pinamonti - G. Speight (Accepted paper: Math.Ann.)

A Measure Zero Universal Differentiability Set in the Heisenberg Group (2015) - L. Ambrosio - A. Pinamonti - G. Speight (Accepted paper:
*J. Reine Angew. Math.*)

Weighted Sobolev Spaces on Metric Measure Spaces (2015) - G. Speight (
*Revista Matematica Iberoamericana*)

Lusin Approximation and Horizontal Curves in Carnot Groups (2015) - L. Ambrosio - A. Pinamonti - G. Speight (
*Advances in Mathematics*)

Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs (2014) - S. Di Marino - G. Speight (
*Proceedings of the American Mathematical Society*)

The p-Weak Gradient Depends on p (2014) - D. Preiss - G. Speight (
*Inventiones Mathematicae*)

Differentiability of Lipschitz Functions in Lebesgue Null Sets (2013) - G. Speight (
*Israel Journal of Mathematics*)

Surfaces Meeting Porous Sets in Positive Measure (2012) - G. Speight (
*Real Analysis Exchange*)

Directional Lower Porosity (2012) - D. Bate - G. Speight (
*Proceedings of the American Mathematical Society*)

Differentiability, Porosity and Doubling in Metric Measure Spaces (2011)

*7 oct 2013 - 11 oct 2013:*ERC-Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis

*30 mar 2019 - 31 mar 2019:*Ohio River Analysis Meeting 2019