
Tomas Sjödin 
My main research interest is in classical potential theory, and then in particular questions related to quadrature domains. But I am also somewhat interested in stochastic analysis.
Here is a CV.
Below are preprints of some of my articles:
T. Sjödin, Quadrature Identities and Deformation of Quadrature Domains.
Quadrature Domains and their Applications,
Operator Theory, Advances and Applications, 156,pp. 239255,
Birkhäuser, 2005.
T. Sjödin, Mother
Bodies of Algebraic Domians in the Complex Plane.
Complex Variables and Elliptic Equations, 51:4
(2006) 357369.
T. Sjödin, On the Structure of Partial Balayage.
Nonlinear Analysis: theory, methods and applications, 67:1 (2007),
94102.
S. J. Gardiner and T. Sjödin, Quadrature domains for harmonic functions.
Bulletin of the LMS, 39:4 (2007),
586590.
T. Sjödin, Approximation in the cone of positive harmonic functions.
Potential Analysis, 27 (2007), 271280.
S. J. Gardiner and T. Sjödin, Convexity
and the exterior inverse problem of potential theory.
Proceedings of the AMS, 136:5 (2008), 16991703.
S. J. Gardiner and T. Sjödin, Potential
theory in Denjoy domains.
Analysis and Mathematical Physics, 143166. Birkhäuser
(2009).
S. J. Gardiner and T. Sjödin, Partial Balayage and the Exterior Inverse
Problem of Potential Theory, Potential Theory and Stochastics
in Albac, 111123, Bucharest, Theta (2009).
S.J. Gardiner and T. Sjödin, Twophase quadrature domains, Journal d'Analyse Mathematique 116 vol. 1, 335354, (2012).
H. Shahgholian and T. Sjödin, Harmonic balls and the twophase Schwarz function Complex variables and elliptic equations (Available online 2011.10.05).
Earlier versions of some of these articles
together with an appendix
on classical potential theory are
also contained in my thesis.
There is also an errata for the printed version of the thesis (in the version downloadable above these corrections are inserted).
Teaching: