most citedGeometric characterizations of the cross ratio in a pencil of conics

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math.DG2020

Higher Complex Structures and Higher Teichmüller Theory

Alexander Thomas

In this PhD thesis, we give a new geometric approach to higher Teichmüller theory. In particular we construct a geometric structure on surfaces, generalizing the complex structure,…

math.DG2019

Generalized Punctual Hilbert Schemes and -complex structures

Alexander Thomas

We define and analyze various generalizations of the punctual Hilbert scheme of the plane, associated to complex or real Lie algebras. Out of these, we construct new geometric stru…