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  1. (, Contemporary mathematics)
    Collin, Olivier; Friedl, Stefan; Gordon, Cameron; Tillmann, Stephan; Watson, Liam (Ed.)
    The automorphism groups of integral Lorentzian lattices act by isometries on hyperbolic space with finite covolume. In the case of reflective integral lattices, the automorphism groups are commensurable to arithmetic hyperbolic reflection groups. However, for a fixed dimension, there is only finitely many reflective integral Lorentzian lattices, and these can only occur in small dimensions. The goal of this note is to construct embeddings of lowdimensional integral Lorentzian lattices into unimodular Lorentzian lattices associated to right-angled reflection groups. As an application, we construct many discrete groups of Isom(Hn) for small n which are C-special in the sense of Haglund-Wise. 
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  2. (, Contemporary mathematics)
    Collin, Olivier; Freidl, Stefan; Gordon, Cameron; Tillmann, Stephan; Watson, Liam (Ed.)
    This paper describes the complete list of all 205,822 exceptional Dehn fillings on the 1-cusped hyperbolic 3-manifolds that have ideal triangulations with at most 9 ideal tetrahedra. The data is consistent with the standard conjectures about Dehn filling and suggests some new ones. 
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