
Laurence S. Field
I have moved to the Australian National University in Canberra.
This page may not be kept up to date.
I was a postdoc in the Statistical Field Theory group at EPFL.
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
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 Rn (Math 203–204–205, Inquiry-Based Learning).
Contact Details
laurence dot field at anu dot edu dot au
Dr Laurence Field
Research School of Finance, Actuarial Studies & Statistics
The Australian National University
26C Kingsley St
Acton, ACT, 2601
Australia