Michael Doré is a Research Fellow in Mathematics. Before arriving in Birmingham in 2010, he completed his PhD at the University of Warwick under the supervision of Prof. David Preiss.
His interests include geometric non-linear analysis, measure theory and functional analysis.
Geometric non-linear functional analysis, differentiability of Lipschitz mappings, real analysis.
Doré, MJ and Maleva, O, Differentiability of planar valued Lipschitz maps on Hilbert spaces, in preparation.
Doré, MJ and Maleva, O, (2011), A universal differentiability set in Banach spaces with separable dual, to appear in the Journal of Functional Analysis.
Doré, MJ and Maleva, O, (2011), A compact universal differentiability set with Hausdorff dimension one, to appear in the Israel Journal of Mathematics.
Doré, MJ and Maleva, O, (2010), A compact null set containing a differentiability point of every Lipschitz function, to appear in Mathematische Annalen.