Aron Wennman

aronw@math.kth.se

Department of Mathematics
KTH Royal Institute of Technology
Stockholm, Sweden



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Research

I defended my PhD thesis, written at KTH under supervision of Håkan Hedenmalm in June 2018. In October 2018 I joined Misha Sodin's group at Tel Aviv University as a post doc, supported by a fellowship from KAW.


My research is mostly in complex analysis and probability. In particular, I'm interested in orthogonal and extremal polynomials, random planar point processes, and evolution problems related to Hele-Shaw flow. A list of my papers and preprints is included below.

  • The forbidden region for random zeros: appearance of quadrature domains
    With A. Nishry
    arXiv preprint, submitted (2020)
    [pdf]
  • Riemann-Hilbert hierarchies for hard edge planar orthogonal polynomials
    With H. Hedenmalm
    arXiv preprint, submitted (2020)
    [pdf]
  • Off-spectral analysis of Bergman kernels
    With H. Hedenmalm
    Comm. Math. Phys. 373(3) (2020), 1049-1083
    [available with open access]
  • Scaling limits of random normal matrix processes at singular boundary points
    With Y. Ameur, N-G. Kang, N. Makarov
    J. Funct. Anal. 278(3) (2020)
    [pdf]
  • Planar orthogonal polynomials and boundary universality in the random normal matrix model
    With H. Hedenmalm
    arXiv preprint, submitted (2017)
    [pdf]
  • A critical topology for Lp-Carleman classes for 0<p<1
    With H. Hedenmalm
    Mathematische Annalen 371(3) (2018), 1803-1844
    [available with open access]
  • A Central Limit Theorem for Fluctuations in Polyanalytic Ginibre Ensembles
    With A. Haimi
    Int. Math. Res. Not IMRN 2017, rnx147 (electronic)
    [arXiv]
  • Discrepancy densities for planar and hyperbolic zero packing
    J. Funct. Anal. 272 (2017), 5282-5306
    [arXiv]
  • Operator identities for standard weighted Bergman shift and Toeplitz operators
    With A. Olofsson
    J. Operator Theory 70 (2013), 451-475
    [link]
  • An operator inequality for weighted Bergman shift operators
    With A. Olofsson
    Rev. Mat. Iberoam. 29 (2013) 789-808
    [link]
  • Random and optimal configurations in complex function theory
    PhD thesis, Defended in June 2018
    [pdf]