Research

Research interests

Numerical analysis, scientific computing, matrix and operator theory, commutative algebra, enumerative combinatorics, approximation theory, orthogonal polynomials, wavelets and splines, compressive sensing, probability, analysis of algorithms, computational complexity.

Coauthors

Grey Ballard, Gautam Bharali, Jim Demmel, Ioana Dumitriu, Michael Karow, Plamen Koev, Bobby Kleinberg, Volker Mehrmann, Yuval Peres, Amos Ron, Hans Schneider, Oded Schwartz, Noam Shomron, Vladimir Strauss, Bernd Sturmfels.

Selected talks

An introduction to compressive sensing, Joint Mathematical Meetings of AMS and MAA, Washington DC; Stanford; Jan 2009.

Zonotopal algebra, Cambridge, England, Isaac Newton Institute, Jan 2008; FoCM, Jun 2008; SFSU colloquium, Oct 2008.

Matrix inequalities galore, Redmond, Washington, Microsoft Research, Feb 2007.

Fast and stable matrix multiplication, Duesseldorf, Germany, ILAS lecture at the GAMM-SIAM meeting, Jul 2006; MIT colloquium, Oct 2006.

Hyperdeterminantal relations among symmetric principal minors, San Francisco, California, AMS meeting, Apr 2006.

Towards accurate polynomial evaluation in rounded arithmetic, Dagstuhl, Germany, workshop talk, Sep 2005.

Bits and pieces of the nonnegative inverse eigenvalue problem, Regina, Canada, plenary talk, ILAS XII, Jun 2005.