James Colliander

James Ellis Colliander (born 22 June 1967) is an American-

He is also an award-winning teacher.^[1]

Research

Colliander's research mostly addresses dynamical aspects of solutions of Hamiltonian

Colliander is a collaborator with Markus Keel, Gigliola Staffilani, Hideo Takaoka, and Terence Tao, forming a group known as the "I-team".^[3][4] The name of this group has been said to come from a mollification operator used in the team's method of almost conserved quantities,^[5] or as an abbreviation for "interaction", referring both to the teamwork of the group and to the interactions of light waves with each other.^[6] The group's work was featured in the 2006 Fields Medal citations for group member Tao.^[4][6]

Organization creation

Colliander is co-founder of the education technology company called Crowdmark.

Colliander, with colleagues from PIMS, created Syzygy, a project that provides interactive computing for students and teachers at universities across Canada. Syzygy operates on infrastructure provided by Compute Canada.

Colliander, with colleagues from PIMS and Cybera, created Callysto, a project designed to improve computational thinking for students and teachers in grades 5-12.

Colliander is co-founder of the International Interactive Computing Collaboration (2i2c).

Major publications

• Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Global well-posedness for Schrödinger equations with derivative. SIAM J. Math. Anal. 33 (2001), no. 3, 649–669.
• Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. A refined global well-posedness result for Schrödinger equations with derivative. SIAM J. Math. Anal. 34 (2002), no. 1, 64–86.
• Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation. Math. Res. Lett. 9 (2002), no. 5-6, 659–682.
• Christ, Michael; Colliander, James; Tao, Terence. Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Amer. J. Math. 125 (2003), no. 6, 1235–1293.
• Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Sharp global well-posedness for KdV and modified KdV on ${\displaystyle \mathbb {R} }$ and ${\displaystyle \mathbb {T} }$. J. Amer. Math. Soc. 16 (2003), no. 3, 705–749.
• Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Multilinear estimates for periodic KdV equations, and applications. J. Funct. Anal. 211 (2004), no. 1, 173–218.
• Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ${\displaystyle \mathbb {R} ^{3}}$. Comm. Pure Appl. Math. 57 (2004), no. 8, 987–1014.
• Colliander, J.; Keel, M.;
  MR 2415387
  .
• Colliander, J.; Keel, M.;
  MR 2651381
  .

External links

• Official website
• MathSciNet: "Items authored by Colliander, James."^{[permanent dead link]}
• James Colliander at the Mathematics Genealogy Project
• James Colliander introducing Crowdmark at 2013 Launch Education and Kids on
  YouTube
• James Colliander publications indexed by Google Scholar