# Laurence S. Field

Before that, I earned my Ph.D. under Greg Lawler at the University of Chicago.

## Research

My interests lie in probability, conformal invariance and statistical physics. I have been working on aspects of the Schramm–Loewner evolution (SLE). Important tools are Brownian motion and related measures on planar curves.## Publications and Preprints

L. S. Field,
Two-sided radial SLE and length-biased chordal SLE.

Preprint, 29 pages.
arXiv:1601.03374

L. S. Field and G. F. Lawler,
Escape probability and transience for SLE.

*Electronic Journal of Probability* **20** (2015), no. 10, 1–14.
arXiv:1407.3314

L. S. Field and G. F. Lawler,
Reversed radial SLE and the Brownian loop measure.

*Journal of Statistical Physics* **150** (2013), no. 6, 1030–1062.
arXiv:1207.6360

L. S. Field, N. A. Nicorovici and R. C. McPhedran,

Optical resonances of cylinder and sphere clusters in the quasistatic limit.

*Physica B: Condensed Matter* **394** (2007), no.2, 193–196.

## Expository Work

An estimate for Brownian excursion measure.

This short note gives an elementary proof of a lemma from “Escape probability and transience for SLE”, above.

Parafermionic observables in discrete models and Schramm–Loewner evolution,

*Topic proposal*, February 2011.

Representations of GL(2) over finite and local fields,

*Honours essay*, October 2008.

## Recent Talks

20 Jun 16 Stochastics Seminar, Aalto University

15 Jun 16 Recent developments in SLE, Inst. Mittag-Leffler

9 Dec 15 ANZAMP Annual Meeting, Newcastle

28 Oct 15 Seminar on Stochastic Processes, ETH Zürich

23 Apr 15 Probability Seminar, Michigan State University

14 Mar 15 AMS Sectional Meeting, East Lansing

28 Aug 14 Weizmann Institute of Science, Rehovot

Geometric Functional Analysis and Probability Seminar

27 Aug 14 The Technion, Haifa

Probability and Stochastic Processes Seminar

1 Aug 14 Sydney Dynamics Group

*Conformally invariant processes and SLE*

## Teaching

EPFL, Autumns 2015 and 2016: Lattice Models (master's course)

2014–15: Multivariable Calculus—Autumn (Math 195), Winter (Math 195).

I was the primary author of a new Linear Algebra text for Math 163 (March–June 2014):

2013–14: Honors Calculus (Math 161–162–163, Inquiry-Based Learning).

2012–13: Calculus—Autumn (Math 151), Winter (Math 152), Spring (Math 153).

2011–12: Calculus—Autumn (Math 151), Winter (Math 152), Spring (Math 153).

2010–11: Analysis in **R**^{n}
(Math 203–204–205, Inquiry-Based Learning).

## Contact Details

laurence *dot* field *at* epfl *dot* ch

EPFL-SB-MATHAA-CSFT

Bâtiment MA - Station 8

CH-1015 Lausanne

Switzerland