We use Higgs bundles to study the character variety for representations of a surface group in the no

The topological complexity of a space has been introduced by M. Farber in order to give a measure of

This talk is based on joint work with Weiwei Pan, Daniel Tubbenhauer and with Yasuyoshi Yonezawa. In

Hyperbolic groups were introduced by Mikhail Gromov in the 80s by considering the geometry of Cayley

In my talk I intend to present a survey of some classical and recent results on algebraic surfaces w

In this work we give a characterization of Teter rings using the Macaulay inverse system. From this

We present a new method for classifying naturally reductive homogeneous spaces -- i.e. homogeneous R

   According to the celebrated Trisecant Lemma, a general projection of a smooth algebraic curve

Consider a complete intersection $X=Q_0 \cap Q_1$ of two quadrics in $\mathbb P^5.$ Choose a line $L