J. F. Ritt Assistant Professor in the Department of Mathematics, Columbia University. (Simons Fellow 2010-2013.) Ph.D. 2010, KTH Royal Institute of Technology, Stockholm, Sweden. My advisor was Michael Benedicks.
My main areas of interest are in complex analysis and probability. In particular, fine and geometric properties of Schramm-Loewner evolution (SLE) curves; discrete models related to SLE; random walks, Laplacian growth and other models related to DLA; lattice models and conformal field theory; the Loewner equation and boundary behavior of conformal maps. My research is supported by NSF.
I organize the Columbia Probability Seminar together with Julien Dubedat, Alex Drewitz, Clement Hongler, Ioannis Karatzas, and Philip Protter.
Small particle limits in a regularized Laplacian random growth model
With A. Sola, A. Turner
Lattice representations of the Virasoro algebra I: Discrete Gaussian free field
With C. Hongler, K. Kytola.
Convergence rates for loop-erased random walk and other Loewner curves
To appear in Ann. Probab.
- Almost sure multifractal spectrum for the tip of an
With G. F. Lawler.
To appear in Acta Math.
On the scaling limit of loop-erased random walk excursion
Ark. Mat. 50(2) (2012)
Random Loewner Chains
Doctoral Thesis from KTH Royal Institute of Technology, April 2010.