Daniel Wise (mathematician)

Daniel T. Wise (born 1971 ) is an American mathematician, with geometry ( 3-manifolds ) and group theory is concerned.

Wise grew up in New York City, studied in 1989 at Yeshiva University mathematics with a bachelor 's degree in 1991 and in 1996 received his doctorate from Princeton University with Martin Bridson (Non- Positively Curved Squared Complexes, aperiodic tilings and non- residually finite groups). As a post - graduate student, he was in 1996/97 at the University of California, Berkeley. In 1997 he became an Assistant Professor at Cornell University, was the 2000/01 Visiting Assistant Professor at Brandeis University and, from 2001 assistant professor, associate professor in 2004 and professor in 2009 at McGill University. 2008/ 09 he was a visiting professor at the Hebrew University.

He conducts research on infinite groups with applications in geometry and topology, especially geometric group theory, metric spaces of non - positive curvature, 3 - dimensional manifolds, residually finite groups, subgroup separability and coherent groups.

His work on cubical complexes are an essential building block in the proofs of various conjectures from the 3-dimensional topology, in particular the virtual hook - guess.

In 2013 he was awarded the Oswald Veblen Prize - with Ian Agol. He received the Veblen Prize "for his deep work, which demonstrated for a large class of groups, subgroup separability, and for the introduction and development of the theory of special cubes complexes with Frédéric Haglund which are of fundamental importance to the topology of 3-manifolds ".

Works

  • With F. Haglund: A combination theorem for special cube complexes, Annals of Mathematics 176-3, 1427-1482 (2012 ) pdf
  • With F. Haglund: Special Cube Complexes, Geom Funct. Analysis, Volume 17, 2008, pp. 1551-1620
  • From Riches to Raags: 3- manifolds, Right - Angled Artin Groups, and Cubical Geometry, CBMS Regional Conference Series in Mathematics 2012; 141 pp; soft cover, ISBN 0-8218-8800-5
  • Subgroup separability of graphs of free groups with cyclic edge groups, Quarterly Journal of Mathematics, Volume 51, 2000, pp. 107-129
  • Residual finiteness of negatively curved polygons of finite groups, Inventiones Mathematicae, Volume 149, 2002, pp. 579-617
Oswald Veblen Prize in Geometry Integrated Authority File
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