Assistant professor and docent in the Department of Mathematics, Uppsala University, partially supported by the Swedish Research Council (VR). From January 2015 I will be an associate professor at KTH Royal Institute of Technology.
Before returning to Sweden I was a Simons Fellow and J. F. Ritt Assistant Professor in the Department of Mathematics, Columbia University, 20102014, partially supported by the National Science Foundation (NSF).
I received my Ph.D. in 2010 from KTH Royal Institute of Technology, Stockholm, Sweden.
I coorganize the analysis and stochastics seminar at Uppsala.
I try to attend the probability and stochastics seminar at Uppsala,
the analysis seminar at KTH, and sometimes the Institut MittagLeffler seminars.
Upcoming events I am coorganizing:
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
 Scaling limit of the looperased random walk Green's function
With C. Benes, G. F. Lawler. (Submitted.)
[arXiv ]

Lattice representations of the Virasoro algebra I: Discrete Gaussian free field
With C. Hongler, K. Kytola.
[arXiv]
Publications

Small particle limits in a regularized Laplacian random growth model
With A. Sola, A. Turner.
To appear in Comm. Math. Phys.
[arXiv] [Simulations]

Convergence rates for looperased random walk and other Loewner curves
To appear in Ann. Probab.
[arXiv]
On the continuity of SLE(k) in k
With S. Rohde, C. Wong.
To appear in Probab. Theory Related Fields
[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]
Events, Travel
 January 813, 2014: University of Chicago. (Probability seminar.)
 May 28, ETH Zurich. (Probability Seminar.)
 June 2326, Mathematics meets Physics, University of Helsinki.
 August 1112: Recent Progress in Random Conformal Geometry, ICM satellite conference, Seoul, Korea. (Coorganizer with N.G. Kang, P. Nolin.)
 August 1017: ICM, Seoul, Korea.
 September 19: StockholmUppsala Analysis and Probability Day 2014, Stockholm.
More information.
 November 1722, 2014: TUBerlin, Germany.
 JanuaryApril 2015: Disordered systems, random spatial processes and some applications, IHP, Paris, France.
 Spring Semester 2015: Random Geometry Programme, Newton Institute, Cambridge UK.