Alan Sola

Department of Pure Mathematics and Mathematical Statistics - Clare Hall - University of Cambridge

Alan Sola

Postdoctoral Research Fellow
University of Cambridge
Wilberforce Road
Cambridge CB3 0WB
UK

Email: a.sola (no_spam_please) statslab.cam.ac.uk
Office: D2.03

Research

Here is a link to reviews of my published papers on MathSciNet, and here is a list of my papers by subject area:

Loewner equation and planar random growth models:

(w/ F. Johansson Viklund) Rescaled Lévy-Loewner hulls and random growth,
Bulletin des Sciences Mathématiques 133 (2009), 238-256.
(w/ F. Johansson Viklund and A. Turner) Scaling limits of anisotropic Hastings-Levitov clusters,
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 48 (2012), 235-257.
Elementary examples of Loewner chains generated by densities,
Annales Universitatis Mariae Curie-Skłodowska Sectio A, to appear (2013).

Boundary behavior of conformal maps:

An estimate of the universal means spectrum of conformal maps,
Computational Methods and Function Theory 6 (2006), 423-436.
(w/ H. Hedenmalm) Spectral notions for conformal maps: a survey,
Computational Methods and Function Theory 8 (2008), 447-474.

Bergman-type spaces, kernel functions, and cyclic vectors:

(w/ H. Hedenmalm and S. Shimorin) Norm expansion along a zero variety,
Journal of Functional Analysis 254 (2008), 1601-1625.
(w/ C. Bénéteau, A.A. Condori, C. Liaw, and D. Seco) Cyclicity in Dirichlet spaces and extremal polynomials,
In preparation (December 2012).

Random polynomials and their zeros:

(w/ I.E. Pritsker) Expected discrepancy of zeros of random polynomials,
Preprint (August 2012).

Teaching

Michaelmas 2012: Advanced Probability (Part III Course.)

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