Numerical optimization, numerical linear algebra, linear/nonlinear programming,
sparse matrix methods, iterative solvers.
Algorithm design/implementation for constrained optimization,
sparse linear equations, sparse least squares.
Multiscale optimization problems in systems biology.
Please note that I am unable to offer internships or postdoctoral positions
outside normal PhD admissions to Stanford.
1985: William Orchard-Hays Prize in Computational Mathematical Programming,
Mathematical Programming Society, first recipient
2004: ISI Highly Cited Researcher in Computer Science
2007: ISI Highly Cited Researcher in Mathematics
2007: Honorary Fellow of the Royal Society of New Zealand
2012: SIAM Linear Algebra Prize (with S.-C. Choi and C. C. Paige)
2012: Stanford University Invention Hall of Fame
(with P. E. Gill, W. Murray, B. A. Murtagh, and M. H. Wright)
2013: SIAM Fellow
1982-2004 ACM Transactions on Mathematical Software (TOMS)
1989-2002 SIAM Journal on Optimization (SIOPT)
1999-present Optimization and Engineering (OPTE)
2010-2016 Numerical Algebra, Control and Optimization (NACO)