Geometric Group Theory

Active projects

At the confluence of geometry, group theory and topology…

Embedding Hyperbolic Planes

Is it possible to embed hyperbolic planes in relatively hyperbolic groups?

Kazhdan’s Property (T) in Hyperbolic Groups

In the Gromov density model is the density of 1/3 critical for Kazdahn’s Property (T)?

An informal translation of Sur les Groupes Hyperboliques d'après Mikhael Gromov

Unofficial translation from French with student’s marginalia.

October 29, 2022

Translation project on 'About Hyperbolic Groups after Mikhail Gromov' by Etienne Ghys and Pierre de la Harpe

Dr. Ashani Dasgupta

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A translation of the celebrated title 'About Hyperbolic Groups after Mikhail Gromov' by Etienne Ghys and Pierre de la Harpe....

September 18, 2022

Connectedness of Bowditch boundary of Dehn fillings

Dr. Ashani Dasgupta

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We study Dehn fillings of relatively hyperbolic group pairs and the persistence of connectedness of Bowditch boundary in sufficiently long Dehn fillings. We show that the restriction of peripheral subgroups to virtually polycyclic subgroups (as in [Groves-Manning, 2018]) is not needed. Download the ...