# The 2016 CRM-Fields-PIMS Prize is awarded to Dani Wise

The Centre de recherches mathématiques (CRM), the Fields Institute, and the Pacific Institute for the Mathematical Sciences (PIMS) are proud to award the 2016 CRM-Fields-PIMS Prize to Dani Wise (McGill University).

Dani Wise is widely recognized as one of the top geometric group theorists in the world. His fundamental research contributions lie at the core of what is widely considered as the most important development in geometry and topology since Perelman’s celebrated proof of the Poincaré Conjecture, namely the proof of Thurston’s virtually fibered conjecture for hyperbolic three-manifolds. It has also been central to the resolution of major open problems such as Waldhausen’s virtual Haken conjecture and Baumslag’s famous 1968 conjecture which states that every one-relator group with torsion is residually finite. Over the past 40 years, the works of Thurston and Waldhausen have been central to the development of 3-manifold topology and hyperbolic geometry. The work of Wise followed a totally different direction, which he developed with exceptional insight and virtuosity over more than 15 years, leading to the spectacular results mentioned above.

The profound impact and originality of Wise’s work have been recognized through major awards, most notably the Veblen Prize of the American Mathematical Society, which he shared in 2013 with Ian Agol (Berkeley). He delivered an invited address at the 2014 International Congress of Mathematicians in Seoul and was elected a Fellow of the Royal Society in Canada, also in 2014.

Dani Wise received his PhD from Princeton in 1996 and, following Postdoctoral positions at Berkeley and Cornell, joined the Mathematics department of McGill in 2001, where he is now James McGill Professor.