# Ellen Powell

## About me

I am a PhD student in the Cambridge Centre for Analysis (CCA). I’m a member of the Probability group and my supervisor is Nathanaël Berestycki.

I did my undergraduate and masters degrees at the University of Cambridge, Queens' College, where I am now a Teaching Associate. 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.

## Talks

### Recent/forthcoming talks

*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.

### Slides

Liouville measure from local sets.Level lines of the Gaussian Free Field.

Branching diffusions.

## Teaching

### Supervisions

Analysis I, Part IA course (Lent.)Analysis II, Part IB course (Michaelmas.)

Metric and Topological Spaces, Part IB course (Easter.)

Advanced Probability, Part III course (Michaelmas.)

### Examples classes

Analysis I, Part IA course (Lent.)Stochastic Calculus, Part III course (Lent.)

## Contact Details

**Address:**Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA

**Phone:**01223 760371

**Email:**ep361_at_cam.ac.uk