# Ellen Powell

## About me

I am a postdoc in the Probability group at ETH Zürich. I've recently completed my PhD in the Cambridge Centre for Analysis (CCA) under the supervision of Nathanaël Berestycki.

I did my undergraduate and masters degrees at the University of Cambridge, Queens' College. I am also a former president of the Emmy Noether society for women in mathematics, for which I now help to organise speakers and events.

My CV is here.

## Research

My research involves, broadly, the study of random systems at criticality. I am particularly interested in critical phenomena, scaling limits and more generally, random geometry. This is the study of the random curves and surfaces which arise as scaling limits of critical statistical physics models. I am especially interested in problems concerning the Gaussian free field, Schramm-Loewner evolutions and the relationship between the two.

## Publications and Preprints

- Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation (2017).
- Approximating Liouville measure using local sets of the Gaussian free field with Juhan Aru and Avelio Sepúlveda (2017).
- An invariance principle for branching diffusions in bounded domains (2016).
- Level lines of the Gaussian free field with general boundary data with Hao Wu (2015). To appear in Annales de l'Institut Henri Poincaré.

**Collaborators: **Juhan Aru, Avelio Sepúlveda, Hao Wu.

Here is my PhD thesis.

## Talks

### Recent/forthcoming talks

*June 2018 * Random conformal geometry and related fields, Seoul.

*June 2018 * SPA, Gothenburg.

*May 2018 * Paris-Bath-Beijing V meeting on branching structures, Beijing.

*January 2018 *Seminar, University of Melbourne.

*October 2017 * Seminar on Stochastic Processes, ETH Zürich.

*Jul 2017 * SPA, Moscow.

*Mar 2017 * Workshop on SLE, GFF and LQG, Columbia University.

*Feb 2017 * Probability seminar, University of Geneva.

*Feb 2017 * C.A.K.E seminar, University of Cambridge.

*Jan 2017 * Probability seminar, University of Bath.

*Nov 2016 * Probability seminar, KTH.

*Nov 2016 * Probability seminar, University of Cambridge.

*Nov 2016 * Probability seminar, University of Bristol.

*Oct 2016 * Student seminar, ETH Zürich.

*Jul 2016 * Probability summer school, St Flour.

*Jun 2016 * Paris-Bath branching structures meeting, Institut Henri Poincaré.

*Apr 2016 * UK easter probability meeting, University of Lancaster.

## Teaching

### Supervisions

Analysis I, Analysis II, Metric and Topological Spaces, Advanced Probability: University of Cambridge. *(2013-2017)*

### Examples classes

SLE, master's course: ETH Zurich. *(Autumn 2017)*

Analysis I, undergraduate course: University of Cambridge. *(Autumn 2015 & 2016)*

Stochastic Calculus, master's course: University of Cambridge. *(Spring 2017)*

## Contact Details

**Address: **ETHZ Main Building, Ramistrasse 101, 8092 Zürich

**Office: **HG E 65.2

**Phone: **+41 44 632 2423

**Email:** ellen.powell_at_math.ethz.ch