Quotients of products of curves, new surfaces with pg = 0 and their fundamental groups.

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The classification of isotrivially fibred surfaces with pg = q = 2 (2009, methodology): “Among the surfaces which admit an isotrivial fibration one can find examples of surfaces with χ(OS) = 1. Since [15] appeared several authors studied intensively standard isotrivially fibred surfaces, and eventually classified all those, which are minimal with pg = q = 0 [5, 7 ,8] and with pg = q = 1”
Shimura varieties in the Torelli locus via Galois coverings of elliptic curves (2014, methodology): “ype for G up to Hurwitz Moves, i.e., it gives a set of representatives of the admissible epimorphisms θ: Γ(m 1,...,mr) → G, for details see e.g. [35]. Here we borrow some parts of the script given in [1]. (3) For each pair (G, SSG) it calculates the multiplicity of each irreducible representation of”