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James Colliander

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Nationality
  
USA and Canada

Doctoral advisor
  
Jean Bourgain

Fields
  
Mathematics

Role
  
Mathematician

Name
  
James Colliander


James Colliander httpspbstwimgcomprofileimages320031782188


Born
  
22 June 1967 (age 56) El Paso, Texas (
1967-06-22
)

Institutions
  
University of British Columbia

Alma mater
  
University of Illinois, Urbana-Champaign

Doctoral students
  
Yannis Angelopoulos Brian Pigott Geordie Richards Ian Zwiers

Known for
  
partial differential equations

Influences
  
Jean Bourgain Michael Christ Carlos Kenig Terence Tao

Education
  
University of Illinois at Urbana–Champaign

Canadians land on Jupyter - Ian Allison, James Colliander


James Ellis Colliander (born 22 June 1967) is an American Canadian mathematician. He is currently Professor of Mathematics at University of British Columbia and serves as Director of the Pacific Institute for the Mathematical Sciences. Colliander is also the Founder/CEO of an education technology company called Crowdmark. He was born in El Paso, Texas and lived there until age 8 and then moved to Hastings, Minnesota. He graduated from Macalester College in 1989. He worked for two years at the United States Naval Research Laboratory on fiber optic sensors and then went to graduate school to study mathematics. He received his Ph.D. from the University of Illinois at Urbana–Champaign in 1997 and was advised by Jean Bourgain. Colliander was a postdoctoral fellow at the University of California, Berkeley and spent semesters at the University of Chicago, the Institute for Advanced Study and the Mathematical Sciences Research Institute.

Contents

He is also an award-winning teacher.

Research

Colliander's research mostly addresses dynamical aspects of solutions of Hamiltonian partial differential equations, especially non-linear Schrödinger equation.

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

Selected publications

  • Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. (2008), "Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in ℝ3", Annals of Mathematics, Second Series, 167 (3): 767–865, MR 2415387, doi:10.4007/annals.2008.167.767 .
  • Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. (2010), "Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation", Inventiones Mathematicae, 181 (1): 39–113, MR 2651381, doi:10.1007/s00222-010-0242-2 .
  • References

    James Colliander Wikipedia