Sabin Cautis

Sabin Cautis (* around 1978) is a Canadian mathematician who studies algebraic geometry , geometric representation theory, categorization, knot invariants and algebraic combinatorics .

Cautis (who has Romanian roots) studied from 1997 at the University of Waterloo with a bachelor's degree in 2001 and received his doctorate from Harvard University with Joe Harris in 2006 (Extending families of curves: monodromy and applications). As a post-doctoral student , he was at the Mittag-Leffler Institute , Rice University, and MSRI . In 2009 he became Ritt Assistant Professor at Columbia University , 2012 Assistant Professor at the University of Southern California and 2013 at the University of British Columbia .

With Joel Kamnitzer he developed a new approach to the Khovanov homology of knots. He is a leading mathematician in the categorization program, for example Heisenberg algebras and vertex operators.

In 2017 he received the Coxeter James Prize and in 2014 the André Aisenstadt Prize . He was a Sloan Fellow from 2011 to 2013 and a Putnam Fellow from 2003 to 2006 (after winning the competition in 1999). In 1996/97 he received a bronze medal at the International Mathematical Olympiad.

Fonts

• with Joel Kamnitzer: Knot homology via derived categories of coherent sheaves, Part 1,2, Duke Mathematical Journal, Volume 142, 2008, pp. 511-588, Inventiones Mathematicae, Volume 174, 2008, pp. 165-232
• with J. Kamnitzer, Anthony Licata: Categorical geometric skew Howe duality, Inventiones Mathematicae, Volume 180, 2010, 111–159
• with Licata: Heisenberg categorification and Hilbert Schemes, Duke Math. J., Volume 161, 2012, 2469-2547, Arxiv

Web links

• Homepage, UBC

Individual evidence

1. ↑ Sabin Cautis in the Mathematics Genealogy Project (English) Published in The abelian monodromy extension property for families of curves. Math. Annalen, Volume 344, 2009, 717-747.
2. ↑ Laudation Aisenstadt Prize, pdf .