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Daniel Wise

FRS FRSC
Daniel Wise Royal Society.jpg
Wise in 2018
Born
Daniel T. Wise

(1971-01-24) January 24, 1971 (age 54)
Alma mater Princeton University (PhD)
Awards CRM-Fields-PIMS prize
Scientific career
Thesis Non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups (1996)
Doctoral advisor Martin Bridson

Daniel T. Wise (born January 24, 1971) is an American mathematician. He is known for his work in a field called geometric group theory. This area of math studies groups by looking at their geometric properties. He also works on 3-manifolds, which are complex 3D shapes. Daniel Wise is currently a professor of mathematics at McGill University. A mathematical idea called Wise's conjecture is named after him.

Education and Early Career

Daniel Wise earned his PhD from Princeton University in 1996. His supervisor was Martin Bridson. His special research paper, called a thesis, was about complex mathematical ideas. It was titled non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups.

Key Discoveries in Math

Daniel T. Wise
Daniel T. Wise

Wise's research has focused on using special geometric structures called "cube complexes." These are like building blocks made of cubes. He uses them to understand complex mathematical groups. His early work helped mathematicians explore these ideas in higher dimensions.

In 2009, he made a big announcement. He found a solution to a major problem about certain 3D shapes. This problem is known as the virtually fibered conjecture for cusped hyperbolic 3-manifolds. His work showed how many complex groups could be understood using these cube structures. This was a huge step forward in understanding many infinite groups. His discoveries also played a key role in solving another important problem, the Virtually Haken conjecture.

Awards and Honors

Daniel Wise has received many important awards for his work. In 2016, he was given the Jeffery–Williams Prize. He also received the CRM-Fields-PIMS Prize that same year. In 2016, Wise was awarded a Guggenheim Fellowship. This is a special grant given to people who have shown outstanding ability.

He was elected a Fellow of the Royal Society of Canada (FRSC) in 2014. In 2018, he became a Fellow of the Royal Society (FRS). These are very high honors for scientists. In 2013, Daniel Wise and Ian Agol won the Oswald Veblen Prize in Geometry. They received it for their work on special cube complexes. In 2019, he was awarded the Lobachevsky Prize for his contributions to the virtual Haken conjecture.

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