Daniel T. Wise (born January 24, 1971) is an American mathematician who specializes in

geometric group theory Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such group (mathematics), groups and topology, topological and geometry, geometric pro ...

and

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 McGill University (french: link=no, Université McGill) is an English-language public research university located in Montreal, Quebec Montreal ( ; officially Montréal, ) is the second-most populous city in Canada and most populous ...

Education

Daniel Wise obtained his PhD from

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...

in 1996 supervised by

Martin Bridson Martin Robert Bridson is a Manx mathematician. He is the Whitehead Professor of Pure Mathematics at the University of Oxford, and President of the Clay Mathematics Institute. He was previously Head of Oxford's Mathematical Institute. He is a F ...

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 In the mathematical subfield of 3-manifolds, the virtually fibered conjecture, formulated by American mathematician William Thurston, states that every closed, irreducible, atoroidal 3-manifold with infinite fundamental group has a finite cover w ...

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 In topology, an area of mathematics, the virtually Haken conjecture states that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group is ''virtually Haken''. That is, it has a finite cover (a covering s ...

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 The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society. The award is presented to individuals in recognition of outstanding contributions to mathematical research. The first award was present ...

and the

CRM-Fields-PIMS Prize The CRM-Fields-PIMS Prize is the premier Canadian research prize in the mathematical sciences. It is awarded in recognition of exceptional research achievement in the mathematical sciences and is given annually by three Canadian mathematics instit ...

. In 2016 Wise was awarded a Guggenheim Fellowship. He was elected a Fellow of the Royal Society of Canada (FRSC) in 2014 and a

Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural knowledge, including mathemat ...

(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 Ian Agol (born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds. Education and career Agol graduated with B.S. in mathematics from the California Institute of Technology in 1992 and ...

was awarded in 2013 the Oswald

Veblen Prize __NOTOC__ The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology. It was founded in 1961 in memory of Oswald Veblen. The Veblen Prize is now worth US$5000, and is ...

in Geometry. In 2019, he was awarded the

Lobachevsky Prize The Lobachevsky Prize, awarded by the Russian Academy of Sciences, and the Lobachevsky Medal, awarded by the Kazan State University, are mathematical awards in honor of Nikolai Ivanovich Lobachevsky. History The Lobachevsky Prize was established ...

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