Papers

"Regularity of Loewner Curves,"
with H. Tran, preprint.

"Loewner curvature,"
with S. Rohde, submitted.

"Spacefilling curves and phases of the Loewner equation,"
with S. Rohde,
Indiana Univ. Math. J. 61 (2012), no 6, 2231–2249.
 "Collisions and spirals of Loewner traces,"
with D. Marshall and S. Rohde,
Duke Math. J. 154 (2010), no. 3, 527–573.
 "Hölder regularity of the SLE trace,"
Trans. Amer. Math. Soc. 360 (2008), 3557–3578.
 "Twosided SLE(8/3) and the infinite selfavoiding polygon,"
with G. Lawler, in Universality and
Renormalization: From Stochastic Evolution to Renormalization of Quantum Fields,
I. Binder, D. Kreimer, ed., Amer. Math. Soc. (2007), 249–280.

"A sharp condition for the Loewner equation to generate slits,"
Ann. Acad. Sci. Fenn. Math. 30 (2005), no. 1, 143–158.
