D. Bate, G. Speight: Differentiability, Porosity and Doubling in Metric Measure Spaces Proceedings of the American Mathematical Society Vol. 141 (2013), p. 971-985, 2011 G. Speight: Surfaces Meeting Porous Sets in Positive Measure Israel Journal of Mathematics Vol. 196, N. 1, p. 435-460, 2012 G. Speight: Directional Lower Porosity Real Analysis Exchange Vol. 39, N. 1, p. 45-56, 2012 D. Preiss, G. Speight: Differentiability of Lipschitz Functions in Lebesgue Null Sets Inventiones Mathematicae Vol. 199, N. 2, p. 517-559, 2013 L. Ambrosio, A. Pinamonti, G. Speight: Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs Advances in Mathematics Vol. 281, N. 1145-1177, 2014 S. Di Marino, G. Speight: The p-Weak Gradient Depends on p Proceedings of the American Mathematical Society Vol. 143, N. 5239-5252, 2014 A. Pinamonti, G. Speight: A Measure Zero Universal Differentiability Set in the Heisenberg Group (Accepted paper: Math.Ann.) http://arxiv.org/abs/1505.07986 2015 L. Ambrosio, A. Pinamonti, G. Speight: Weighted Sobolev Spaces on Metric Measure Spaces J. Reine Angew. Math. (Accepted paper) http://arxiv.org/abs/1406.3000 2015 G. Speight: Lusin Approximation and Horizontal Curves in Carnot Groups Revista Matematica Iberoamericana Vol. 32, N. 4, p. 1425-1446, 2015 A. Pinamonti, G. Speight: Porosity, Differentiability and Pansu's Theorem Journal of Geometric Analysis (Accepted Paper) http://arxiv.org/abs/1603.04818 2016 E. Le Donne, G. Speight: Lusin Approximation for Horizontal Curves in Step 2 Carnot Groups Calculus of Variations and Partial Differential Equations Vol. 55, N. 5, p. 1-22, 2016 A. Pinamonti, G. Speight: Structure of Porous Sets in Carnot Groups (Illinois Journal of Math. ) http://arxiv.org/abs/1607.04681 2016 E. Le Donne, A. Pinamonti, G. Speight: Universal differentiability sets and maximal directional derivatives in Carnot groups (Accepted Paper: J. Math. Pures Appl.) 2017 P. Lahti, L. Malý, N. Shanmugalingam, G. Speight: Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient Journal of Geometric Analysis (Accepted Paper) 2018 A. Pinamonti, G. Speight, S. Zimmerman: A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group Trans AMS (Accepted Paper) 2018 V. Magnani, A. Pinamonti, G. Speight: Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups Ann. Mat. Pura Appl. 2019 A. Pinamonti, G. Speight: Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step Israel Journal of Mathematics (Accepted Paper) 2019 S. Eriksson-Bique, G. Giovannardi, R. Korte, N. Shanmugalingam, G. Speight: Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry (Preprint) 2020 M. Capolli, A. Pinamonti, G. Speight: A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Calc. Var. Partial Differential Equations (Accepted Paper) 2021 A. Maalaoui, A. Pinamonti, G. Speight: Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications Journal d'Analyse Mathématique (Accepted Paper) 2021 M. Capolli, A. Pinamonti, G. Speight: A $C^k$ Lusin approximation theorem for real-valued functions on Carnot Groups Indiana Univ. Math. J. (Accepted Paper) 2021 M. Capolli, A. Pinamonti, G. Speight: Maximal Directional Derivatives in Laakso Space Communications in Contemporary Mathematics (Accepted Paper) 2022 G. Speight, S. Zimmerman: A $C^{m,\omega}$ Whitney Extension Theorem for Horizontal Curves in the Heisenberg Group The Journal of Geometric Analysis Vol. 33, p. 21, 2023 A. Pinamonti, G. Speight, S. Zimmerman: Higher Order Whitney Extension and Lusin Approximation for Horizontal Curves in the Heisenberg Group J. Math. Pures Appl. (Accepted Paper) 2024 S. Eriksson-Bique, A. Pinamonti, G. Speight: Universal Differentiability Sets in Laakso Space Nonlinear Analysis (Accepted Paper) 2024 G. Speight, S. Zimmerman: Directional Pliability, Whitney Extension, and Lusin Approximation for Curves in Carnot Groups (Submitted Paper) http://arxiv.org/abs/2505.14678 2025