I am an associate professor in the Department of Mathematics, KTH Royal Institute of Technology and a Wallenberg Academy Fellow. I am partially supported by the Swedish Research Council (VR) and the Goran Gustafsson foundation.
Prior to returning to KTH, I was a Simons Fellow and Ritt Assistant Professor at Columbia University and then an associate professor at Uppsala University. While at Columbia I was partially supported by the National Science Foundation (NSF). I received my Ph.D. in 2010 from KTH. My advisor was Michael Benedicks.
Local activities
KTH Probability Seminar.
Study group on Mathematics for Complex Data, Brummer & Partners MathDataLab.
Upcoming events
Mini workshop on logcorrelated fields, December 1214, 2017, Columbia University, NYC, USA.
Past events
SLE, GFF and LQG in NYC, March 1317, 2017, Columbia University, New York City, USA.
Institut MittagLeffler Workshop: Recent Developments in SLE, June 1317, 2016, Djursholm, Sweden. Group photo.
Oneday conference: StockholmUppsala Analysis and Probability Day 2015, November 26, 2015, Uppsala, Sweden.
ICM Satellite meeting: Recent Progress in Random Conformal Geometry, August 1112, Seoul, Korea.
Oneday conference: StockholmUppsala Analysis and Probability Day 2014, September 19, Stockholm, Sweden.
Interests
My main areas of interest are in complex analysis and probability. In particular, fine and geometric properties of SchrammLoewner 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, multifractal analysis, and boundary behavior of conformal maps. Pictures: A level line in a discrete Gaussian Free Field (courtesy of N.G. Kang); a regularized HastingsLevitov cluster with alpha=2; a looperased random walk derived from a 50k step simple random walk.
Preprints
 Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure
With C. Hongler, K. Kytola.
[arXiv]
 Convergence of radial looperased random walk in the natural parametrization
With G. F. Lawler
[arXiv]
 Coulomb gas integrals for commuting SLEs: Schramm's formula and Green's function
With J. Lenells
[arXiv]

The Loewner difference equation and convergence of looperased random walk
With G. F. Lawler.
[arXiv] (Submitted) 
Convergence of looperased random walk in the natural parametrization
With G. F. Lawler.
[arXiv] (Submitted) 
Lattice representations of the Virasoro algebra I: Discrete Gaussian free field
With C. Hongler, K. Kytola.
(Superseded by ``Conformal Field Theory at the Lattice Level...''.)
Publications

A dimension spectrum for SLE boundary collisions
With T. Alberts, I. Binder.
To appear in Comm. Math. Phys
[arXiv]

Scaling limit of the looperased random walk Green's function
With C. Benes, G. F. Lawler.
To appear in Probab. Theory. Related Fields
[arXiv]

Small particle limits in a regularized Laplacian random growth model
With A. Sola, A. Turner.
Comm. Math. Phys. 334 (1), 331366, (2015)
[arXiv] [Simulations]

Convergence rates for looperased random walk and other Loewner curves
Ann. Probab. 43 (1), 119165 (2015)
[arXiv]
On the continuity of SLE(k) in k
With S. Rohde, C. Wong.
Probab. Theory Related Fields 159 (3), 413433 (2014)
[arXiv]

Some remarks on SLE bubbles and Schramm's twopoint observable
With D. Beliaev.
Comm. Math. Phys. 320 (2), 379394 (2013)
[arXiv]
 Almost sure multifractal spectrum for the tip of an
SLE curve
With G. F. Lawler.
Acta Math. 209, 265322 (2012)
[arXiv]

On the rate of convergence of looperased random walk to SLE(2)
With C. Benes and M. Kozdron.
Comm. Math. Phys. 308 (2), 307354 (2013)
[arXiv]

Optimal Holder exponent for the SLE path
With G. F. Lawler.
Duke Math. J. 159 (3), 351383 (2011)
[Journal] [arXiv]

Scaling limits of anisotropic HastingsLevitov clusters
With A. Sola and A. Turner.
Ann. Inst. Henri PoincarĂ© 48, 235257 (2012)
[Journal] [arXiv]

On the scaling limit of looperased random walk excursion
Ark. Mat. 50 (2) (2012)
[Journal]

Random Loewner Chains
Doctoral Thesis from KTH Royal Institute of Technology, April 2010.

Rescaled LevyLoewner hulls and random growth
With A. Sola.
Bull. Sci. Math. 133, 238256 (2009)
[Journal] [arXiv]
Travel
 April 24, 2017, University of Geneva.
 March 1921, 2017, MIT, Cambridge
 March 1218, 2017, Columbia University, NYC
 January 2425, 2017, IRS, Paris.
 December 14, 2016, Lund University.
 Oct 17Nov 16, 2016, Columbia University.
 March 613, 2016, Everything is Complex, Saas Fee, Switzerland.
 April 48, 2016: UK Easter Probability Meeting. (Universtity of Lancaster.)