Associate professor, Department of Mathematics, KTH Royal Institute of Technology. I am a Wallenberg Academy Fellow and supported by the Swedish Research Council (VR) and the Gustafsson foundation.
Prior to returning to KTH, I was a Simons Fellow and Ritt Assistant Professor at Columbia University and then associate professor at Uppsala University. I received my Ph.D. in 2010 from KTH.
Local activities
KTH Probability Seminar.
Study group on Mathematics for Complex Data, Brummer & Partners MathDataLab.
Graduate course on Geometric Function Theory, Spring 2018.
Upcoming events
The analysis of Random Shapes, Jan 711, 2019, IPAM/UCLA, Los Angeles, CA, USA.
Invited Session, SPA 2019, July 812, Evanston, IL, USA.
The Analysis and Geometry of Random Shapes, MSRI Semester, Berkeley, CA, USA. To be held 2021 or 2022.
Past events
Invited Session, SPA 2018, June 1115, 2018, Gothenburg, Sweden.
Random Conformal Geometry and Related Field, June 1822, 2018, KIAS, Seoul, Korea. Funded by NSF, Samsung Science and Technology Foundation.
Mini workshop on Constructive Field Theory, March 1315, 2018, Columbia University, NYC, USA. NSF funded.
Mini workshop on LogCorrelated Random Fields, Dec. 1214, 2017, Columbia University, NYC, USA. NSF funded.
SLE, GFF and LQG in NYC, March 1317, 2017, Columbia University, New York City, USA. NSF funded.
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
 Onedimensional scaling limits in a planar Laplacian random growth model
With A. Sola, A. Turner.
[arXiv]  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] 
Convergence of looperased random walk in the natural parametrization
With G. F. Lawler.
[arXiv] 
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
 March 1217, 2018, Miniworkshop on Constructive Field Theory, Columbia University, New York, USA
 February 1116, 2018, Topics in Geometric Function Theory, Les Diablerets, Switzerland
 January 18, 2018, Chalmers, Gothenburg
 December 1016, 2017, Columbia University, NYC
 Nov 1013, 2017, University of Bristol, University of Bath
 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.)