Macarena Arenas

Macarena [Covadonga Robles] Arenas

Email: mcr59 at cam dot ac dot uk

Where to find me: E0.16 - Pavillion E, DPMMS, Centre for Mathematical Sciences, Cambridge.

I am a PhD student at the University of Cambridge, under the supervision of Dr. Ana Khukhro and Dr. Henry Wilton.
I completed my Master's in the Department of Mathematics and Statistics at McGill University, under the supervision of Professor Dani Wise, and my Bachelor's Degree at UNAM, in Mexico City, under the supervision of Professor Max Neumann-Coto.

My CV.


I am mainly interested in geometric group theory and geometric/low dimensional topology.
Some keywords include: non-positively curved cube complexes, hyperbolic and non-positively curved groups, finiteness properties of groups, combinatorial properties of curves on surfaces.


Linear isoperimetric functions for surfaces in hyperbolic groups with Daniel T. Wise, 27 pages. Submitted.

Measuring complexity of curves on surfaces with Max Neumann-Coto, 17 pages, in Geometriae Dedicata, available here.
- Slides for a talk I gave on the topic at the Topology Students Workshop in 2020.

Some things I've been involved in:

In 2020, Sami Douba, Rylee Lyman, Abdul Zalloum, and I organised the virtual summer school Geometric Group Theory without Boundaries. The second iteration took place this summer.

While at McGill, I co-organised the Geometric Group Theory Seminar.

During my undergrad, I was involved in the organisation of the Festival Matemático.

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.

- Georges Perec