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Daniel T. Wise (born January 24, 1971) is an American mathematician who specializes in geometric group theory and
Wise's research has focused on the role of non-positively curved cube complexes within geometric group theory and their interplay with residual finiteness. His early work was taken to higher dimensions when he introduced with Frédéric Haglund the theory of special cube complexes. In 2009 he announced a solution to the virtually fibered conjecture for cusped hyperbolic 3-manifolds. This was a consequence of his work on the structure of groups with a quasiconvex hierarchy which proved the virtual specialness of a broad class of hyperbolic groups, and established a program for using cube complexes to understand many infinite groups. This subsequently played a key role in the proof of the Virtually Haken conjecture.
''From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups and Cubical Geometry''
(AMS Lecture Notes, 2012). *
3-manifold
In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. A 3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane to a small enough observer, all 3-manifolds lo ...
s. He is a professor of mathematics at McGill University.
Education
Daniel Wise obtained his PhD from Princeton University in 1996 supervised by Martin Bridson His thesis was titled ''non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups''.Career and research
Wise's research has focused on the role of non-positively curved cube complexes within geometric group theory and their interplay with residual finiteness. His early work was taken to higher dimensions when he introduced with Frédéric Haglund the theory of special cube complexes. In 2009 he announced a solution to the virtually fibered conjecture for cusped hyperbolic 3-manifolds. This was a consequence of his work on the structure of groups with a quasiconvex hierarchy which proved the virtual specialness of a broad class of hyperbolic groups, and established a program for using cube complexes to understand many infinite groups. This subsequently played a key role in the proof of the Virtually Haken conjecture.
Selected publications
* * * * Wise, Daniel T''From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups and Cubical Geometry''
(AMS Lecture Notes, 2012). *
Awards and honors
In 2016 he was awarded the Jeffery–Williams Prize and the CRM-Fields-PIMS Prize. In 2016 Wise was awarded aGuggenheim Fellowship
Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...
. He was elected a Fellow of the Royal Society of Canada
The Royal Society of Canada (RSC; french: Société royale du Canada, SRC), also known as the Academies of Arts, Humanities and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bil ...
(FRSC) in 2014 and a Fellow of the Royal Society (FRS) in 2018. For the theory of special cube complexes and his establishment of subgroup separability for a wide class of groups, Daniel Wise together with Ian Agol was awarded in 2013 the Oswald Veblen Prize in Geometry. In 2019, he was awarded the Lobachevsky Prize for his contributions to the virtual Haken conjecture.
References
{{DEFAULTSORT:Wise, Daniel 1971 births Living people 20th-century American mathematicians 21st-century American mathematicians Fellows of the Royal Society