- 2004-2009: Founded and CSO of Interactive Supercomputing
- July 2002: MIT (Professor of Applied Mathematics)
- January 1999 -- August 1999: UC Berkeley (Associate Professor of Mathematics)
- July 1998: MIT (Associate Professor of Applied Mathematics)
- 1993-1998: MIT (Assistant Professor of Applied Mathematics)
- 1990-1993: UC Berkeley (Morrey Assistant Professor) and LBL (Lewy Fellow)
- 1990: CERFACS, Toulouse, France. (NSF-NATO Postdoc)
- 1989-1990: Thinking Machines Corporation (Computing Scientist)
- 1985-1989: MIT (PhD Applied Mathematics) Thesis Advisor: Lloyd N. Trefethen
- 1984-1985: IBM -- TJ Watson Research Center (Predoctoral Research Assistant)
- 1980-1984: Yale University (BS,MS Mathematics)
- 1978(student),1979(student),1982(teacher) Hampshire College Summer Studies in Mathematics

Sample of Corporate Consulting and Positions: Microsoft, Interactive Supercomputing, Akamai, Thinking Machines Inc., IBM, Pixar, NKK Japan

- 2013: Deshpande Award for Julia
- 2012: Elected SIAM Fellow
- 2005: The Lester R. Ford Award with Gilbert Strang
- 2003: MIT 1K Warm-up Round Award for Star-P
- 2001: SIAM Outstanding Paper Prize awarded at the SIAM Annual Meeting
- 2000: SIAM Activity Group on Linear Algebra Prize (with Elmroth and Kågström)
- 1999: Edgerly Science Partnership Award
- 1998: Chauvenet Prize
- 1995: MIT School of Science Partnership Award
- 1995: NSF Faculty Career Award
- 1994: Alfred P. Sloan Foundation Fellowship
- 1993: Leslie Fox Competition
in Numerical Analysis

- 1990: Householder Prize
- 1990: Gordon Bell Prize. (Prize winners since 1987)
- 1989: Leslie Fox Competition in Numerical Analysis (2nd prize)
- 1989: NSF-NATO Postdoctoral Fellowship
- 1986--1989: Hertz Foundation
- 1985: First Student not only at MIT, but in the entire world to use Commercial MATLAB (Advisor Trefethen bought first license. Not a prize, but cool nonetheless.)
- 1983: Phi Beta Kappa
- 1980-1984: Numerous (8) Yale Mathematics Competition Prizes
- 1980: USA Mathematical Olympiad, ranked tenth in nation