Filling cubulated relatively hyperbolic groups, with Mahan Mj and Daniel T. Wise. In preparation.
Taut smoothings of arcs and curves, with Max Neumann-Coto. Submitted. arXiv version.
Asphericity of cubical presentations: the general case. In preparation.
The Cohen-Lyndon property in non-metric small-cancellation. Submitted. arXiv version.
Hyperbolicity in non-metric cubical small cancellation with Kasia Jankiewicz and Daniel T. Wise, Bull. Lond. Math. Soc.. Journal version, arXiv version.
Asphericity of cubical presentations: the 2-dimensional case, IMRN. Journal version, arXiv version.
A cubical Rips construction. Accepted to Alg. Geom. Top.,
arXiv version.
- Slides for a talk I gave on the topic at GaTO (Warwick's online seminar), and slides in spanish for a talk I gave at the University of Buenos Aires' Topology seminar.
Linear isoperimetric functions for surfaces in hyperbolic groups
with Daniel T. Wise. Submitted.
arXiv version.
- Slides in spanish for a talk I gave on the topic at the National Congress of the Mexican Mathematical Society, and slides in english for a talk at Queens' Geometry & Dynamics Seminar.
Measuring complexity of curves on surfaces
with Max Neumann-Coto, Geometriae Dedicata.
Available here.
- Slides for a talk I gave on the topic at the Topology Students Workshop in 2020.
In Lent 2024 (i.e., the winter term), I am teaching the Part III (i.e., Master's level) course Cubulating spaces and groups at Cambridge.
In July 2022, I taught a minicourse at the Escuela de Teoría Geométrica de Grupos in Morelia, Michoacan.
Based on the lecture notes for the minicourse, I wrote a survey paper (in spanish!) which is available here and on the arXiv.
Cambridge's Differential Geometry and Topology Seminar.
GGT people at Cambridge: Oren Becker, Henry Bradford, Jack Button, William Cohen, Francesco Fournier-Facio, Ana Isakovic, Alexis Marchand, Gareth Wilkes, Henry Wilton, Julian Wykowski.
This is how space begins, with words only, signs traced on the blank page. To describe space: to name it, to trace it, like those portolano-makers who saturated the coastlines with the names of harbours, the names of capes, the names of inlets, until in the end the land was only separated from the sea by a continuous ribbon of text.