Papers

"Phase transition for a family of complexdriven Loewner hulls,"
with J. Utley, in preparation.

"Convergence of the probabilistic interpretation of modulus,"
with N. Albin and P. PoggiCorradini, in preparation.

"Minimizing the determinant of the graph Laplacian,"
with N. Albin and P. PoggiCorradini, in preparation.

"The scaling limit of fair Peano curves,"
with N. Albin and P. PoggiCorradini, preprint.

"Tangential Loewner Hulls,"
Ann. Acad. Sci. Fenn. Math., to appear.

"Effect of random time changes on Loewner hulls,"
with K. Kobayashi and A. Starnes, Rev. Mat. Iberoam., Rev. Mat. Iberoam. 36 (2020), no 3, 771790.

"Loewner deformations driven by the Weierstrass function,"
with J. Robins, Involve, 10 (2017), no 1, 151164.

"Regularity of Loewner Curves,"
with H. Tran, Indiana Univ. Math. J. 65 (2016), 16751712.

"Loewner curvature,"
with S. Rohde, Math. Ann. 364 (2016), 15171534.

"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.
