# Slavyana Geninska

Je suis maître de conférences à l'université de Toulouse III (Paul Sabatier).

 Adresse Postale : Université Paul Sabatier Institut de Mathématiques de Toulouse 118 route de Narbonne 31062 Toulouse Cedex 9, France Email : geninska "chez" math.univ-toulouse.fr Bureau: 131 bis, Bâtiment 1R2 Téléphone : +33 5 61 55 75 20

Mini-rencontre à Toulouse le 16 et 17 octobre 2017: Surfaces de translation

## Recherche / Research

I am interested in Fuchsian groups, arithmetic groups, symmetric spaces, hyperbolic geometry, asymptotic geometry.

### Publications and preprints

Systoles in translation surfaces, preprint (with C. Boissy).
The limit sets of subgroups of lattices in $PSL(2,R)^r$, to appear in Geometriae Dedicata, DOI: 10.1007/s10711-015-0129-x.
On arithmetic Fuchsian groups and their characterisations, Ann. Fac. Sci. Toulouse Math. (6) 23 (2014), no. 5, 1093-1102.
Examples of infinite covolume subgroups of $PSL(2,R)^r$ with big limit sets, Mathematische Zeitschrift 272 (2012), 389-404.
The limit set of subgroups of arithmetic groups in $PSL(2,C)^q \times PSL(2,R)^r$, Groups Geom. Dyn. 8 (2014), no. 4, 1047–1099.
The limit set of subgroups of a class of arithmetic groups, Dissertation, Karlsruhe, 2009.
A geometric characterization of arithmetic Fuchsian groups, Duke Math. J. 142 (2008), 111-125 (with E. Leuzinger).