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Aron WennmanPostdoktor

Om mig

Research

I'm a postdoctoral fellow in the analysis group, supported by the KAW. My research is in complex and harmionic analysis and PDE. The problems I study often concern the distribution of (complex) eigenvalues of random matrices and zeros of random polynomials. Curiously, both these random systems admit interpretations as systems of charged particles interacting with Coulomb's law, which leads to a fruitful connection to statistical mechanics. Lists of my papers and pre-prints are included below.

 

Preprints

  1. A real variable calculus for planar orthogonal polynomials
    With Hedenmalm. arXiv:2203.02254 (2022)
  2. Universality for outliers in weakly confined Coulomb-type systems.
    With Butez, García-Zelada and Nishry
    arXiv:2104.03959 (2021)
    [link]
  3. The forbidden region for random zeros: appearance of quadrature domains.
    With Nishry
    arXiv:2009.08774 (2020)
    [pdf].
  4. Riemann-Hilbert hierarchies for hard edge planar orthogonal polynomials
    With Hedenmalm
    arXiv:2008.02682 (2020)
    [pdf]

Publications

  1. Planar orthogonal polynoimials and Boundary universality in the random normal matrix model.
    With Hedenmalm
    Acta Math. 227:2 (2021)
    [available with open access].
  2. Off-spectral analysis of Bergman kernels
    With Hedenmalm
    Comm. Math. Phys. 373(3) (2020), 1049-1083
    [available with open access]
  3. Scaling limits of random normal matrix processes at singular boundary points
    With Ameur, Kang and Makarov
    J. Funct. Anal. 278(3) (2020)
    [pdf]
  4. A critical topology for Lp-Carleman classes for 0<p<1
    With Hedenmalm
    Mathematische Annalen 371(3) (2018), 1803-1844
    [available with open access]
  5. A Central Limit Theorem for Fluctuations in Polyanalytic Ginibre Ensembles
    With Haimi
    Int. Math. Res. Not IMRN 2017, rnx147 (electronic)
    [arXiv]
  6. Discrepancy densities for planar and hyperbolic zero packing
    J. Funct. Anal. 272 (2017), 5282-5306
    [arXiv]
  7. Operator identities for standard weighted Bergman shift and Toeplitz operators
    With Olofsson
    J. Operator Theory 70 (2013), 451-475
    [link]
  8. An operator inequality for weighted Bergman shift operators
    With Olofsson
    Rev. Mat. Iberoam. 29 (2013) 789-808
    [link]
  9. Random and optimal configurations in complex function theory
    PhD thesis, Defended in June 2018
    [pdf]

 

Teaching

During the spring semester (VT) 2022 I'm teaching the course Analys A (kurshemsida, kräver inloggning).