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

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