Picture by Linda Romppala

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, 2010-2014, partially supported by the National Science Foundation (NSF).

I received my Ph.D. in 2010 from KTH Royal Institute of Technology, Stockholm, Sweden.

I co-organize 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 Mittag-Leffler seminars.

Upcoming events I am co-organizing:
ICM Satellite meeting: Recent Progress in Random Conformal Geometry, August 11-12, Seoul, Korea.

One-day conference: Stockholm-Uppsala Analysis and Probability Day 2014, September 19, Stockholm, Sweden.

Interests


DGFF
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, 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 Hastings-Levitov cluster with alpha=2; a loop-erased random walk derived from a 50k step simple random walk.


Preprints

HL2
  • Scaling limit of the loop-erased 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 loop-erased 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 two-point observable
    With D. Beliaev.
    Comm. Math. Phys. 320 (2), 379-394 (2013)
    [arXiv]

  • Almost sure multifractal spectrum for the tip of an SLE curve
    With G. F. Lawler.
    Acta Math. 209, 265-322 (2012)
    [arXiv]
  • On the rate of convergence of loop-erased random walk to SLE(2)
    With C. Benes and M. Kozdron.
    Comm. Math. Phys. 308 (2), 307-354 (2013)
    [arXiv]

  • Scaling limits of anisotropic Hastings-Levitov clusters
    With A. Sola and A. Turner.
    Ann. Inst. Henri PoincarĂ©  48, 235-257 (2012)
    [Journal] [arXiv]

  • On the scaling limit of loop-erased random walk excursion

    Ark. Mat. 50 (2) (2012)

    [Journal]

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

  • Rescaled Levy-Loewner hulls and random growth
    With A. Sola.
    Bull. Sci. Math. 133, 238-256 (2009)
    [Journal] [arXiv]



Events, Travel

  • January 8-13, 2014: University of Chicago. (Probability seminar.)
  • May 28, ETH Zurich. (Probability Seminar.)
  • June 23-26, Mathematics meets Physics, University of Helsinki.
  • August 10-17: ICM, Seoul, Korea.
  • September 19: Stockholm-Uppsala Analysis and Probability Day 2014, Stockholm.
    More information.
  • November 17-22, 2014: TU-Berlin, Germany.

Picture by Linda Romppala