Fredrik Johansson Viklund

J. F. Ritt Assistant Professor and Simons Fellow in the Department of Mathematics, Columbia University.

Ph.D. 2010, KTH Royal Institute of Technology, Stockholm, Sweden. My advisor was Michael Benedicks.

My main areas of interest are Complex Analysis and Probability. In particular, Schramm-Loewner evolution, the Loewner differential equation, random walks, Laplacian growth, and boundary behavior of conformal maps.

I organize the Columbia Probability Seminar together with Julien Dubedat, Clement Hongler, Ioannis Karatzas, and Philip Protter. I regularly attend the Probability and Mathematical Physics Seminar at Courant Institute.

Teaching

Preprints

  • Some remarks on SLE bubbles and Schramm's two-point obeservable
    With D. Beliaev. [arXiv]

Publications

  • Almost sure multifractal spectrum for the tip of an SLE curve
    With G. F. Lawler.
    To appear in Acta Math. [arXiv]

  • On the rate of convergence of loop-erased random walk to SLE(2)
    With C. Benes and M. Kozdron.
    To appear in Comm. Math. Phys. [arXiv]

  • Optimal Holder exponent for the SLE path
    With G. F. Lawler.
    Duke Math. J. 159 (3) 351-383 (2011) [journal, arXiv]

  • Scaling limits of anisotropic Hastings-Levitov clusters
    With A. Sola and A. Turner.
    To appear in Ann. Inst. Henri Poincaré . [arXiv]

  • On the scaling limit of loop-erased random walk excursion
    To appear in Ark. Mat.

  • 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]

Professional travel, seminars, and events

  • Oxford University, June 11

  • St. Petersburg, June 18-29

Miscellaneous

  • Poster "Scaling limits of anisotropic Hastings-Levitov clusters" for New Random Geometries, University of Bath. [PDF]

  • Matlab code for SLE-simulation using a version of Don Marshall's Zipper algorithm. [M]

Contact Information

Email: fjv --at-- math.columbia.edu

Phone: +1 212-854-2849

Mailing Address:

  • Fredrik Johansson Viklund
    Dept. of Mathematics
    Columbia University
    2990 Broadway
    New York, NY 10027

Visiting Address:

  • Room 525, MC 4409
    Dept. of Mathematics
    Columbia University
    2990 Broadway
    New York, NY 10027