Ph.D. Students , Gregory F. Lawler

Duke University

Damon Scott, 1986, "A Nonintegral Dimensional Random Walk"

Thomas Polaski, 1991, "Estimates of Differences and Harnack's Inequality for Functions Harmonic with Respect to Random Walks",

Emily Puckette, 1994, "Critical Exponents for Intersections of Random Walks in Dimensions between 1 and 2"

Elizabeth Brooks, 1996, "Probabilistic Methods for Hyperbolic Partial Differential Equations", (co-advisor with Michael Reed)

Chad Fargason, 1998, "Percolation Dimension of Brownian Motion in Three Dimensions",

Mary Beth Fisher , 1998, "Variance Reduction for Stochastic Differential Equations Applied to Bond Pricing Problems" (co-advisor with Pete Kyle, Fuqua School of Business)

Christian Benes, 2004, "On Some Problems Concerning Planar Random Walks"

Michael Kozdron, 2004, "Simple Random Walk Excursion Measure in the Plane"

Cornell University


Jose Antonio Trujillo Ferreras , 2005, "The Random Walk Loop Soup and the Expected Area of the Brownian Loop in the Plane"

John Thacker, 2006, "Some Problems on the Random Walk Loop Soup"

Brigitta Vermesi , 2006, "Intersection Exponents for Random Walks on Cylinders"

University of Chicago


Robert Masson , 2008, "Growth Exponent for Planar Loop-Erased Random Walk" (co-advisor with Steve Lalley)

Shawn Drenning , 2011, "Excursion reflected Brownian motion and Loewner equations in multiply connected domains"

Brent Werness , 2012, "Path properties of the Schramm-Loewner evolution"

Mohammad Abbas Rezaei , 2013, "SLE curves and natural parametrization"

Marcelo Alvisio, 2014, "Applications of stochastic calculus to Schramm-Loewner evolution and options pricing" (co-advisor with Roger Lee)


Laurence Field (current student)


Jacob Perlman (current student)