Allen Knutson

Allen Ivar Knutson (* 1969 ) is an American mathematician who studies algebraic geometry and algebraic combinatorics .

Allen Knutson

Knutson studied at Caltech , New York University (and in Budapest), the University of California, Santa Cruz and Princeton University and received his doctorate in 1996 from the Massachusetts Institute of Technology with Victor Guillemin (and Lisa Jeffrey ) (Weight Varieties). As a post-doctoral student he was with Gerald Schwarz at Brandeis University . He was from 1999 at the University of California, Berkeley (where he became Associate Professor) and from 2005 at the University of California, Davis before becoming a professor at Cornell University in 2009 .

In 2005 he and Terence Tao received the Levi L. Conant Prize for Honeycombs and Sums of Hermitian Matrices

He also dealt with the mathematics of juggling and temporarily held a world record (International Jugglers Federation) for juggling balls between two people (1990 to 1995). The record at the time was 12 balls.

He was a Sloan Fellow .

Fonts

• The symplectic and algebraic geometry of Horn's problem . Linear Algebra Appl., Vol. 319, 2000, 61-81.
• with Terence Tao: The honeycomb model of GL (n) tensor products I: proof of the saturation conjecture . Journal of the AMS, Vol. 12, 1999, pp. 1055-1090.
• with Terence Tao: Puzzles and (equivariant) cohomology of Grassmannians . Duke Math. J., Volume 119, 2003, pp. 221-260.
• with Ezra Miller: Gröbner geometry of Schubert polynomials . Annals of Mathematics, Volume 161, 2005, pp. 1245-1318.
• with Ezra Miller, Mark Shimozono: Four positive formulas for type A quiver polynomials . Inventiones Mathematicae, Volume 166, 2006.

Web links

• Homepage

Individual evidence

1. ↑ Lila Guterman: Are Mathematicians Past Their Prime at 35? , 2000
2. ↑ Allen Knutson in the Mathematics Genealogy Project (English)
3. ↑ Notices of the AMS, Vol. 48, 2001, pp. 175-186, online
4. ^ Conant Prize for Tao, Knutson, Notices AMS, Volume 52, 2005, No. 4, pdf