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 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 PhD 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.

James Colliander
Born (1967-06-22) 22 June 1967
El Paso, Texas
NationalityUnited States and Canada
Alma materUniversity of Illinois, Urbana-Champaign
Known forpartial differential equations
AwardsSloan Fellowship (2003)
McLean Award (2007)
Scientific career
FieldsMathematics
InstitutionsUniversity of British Columbia
Doctoral advisorJean Bourgain
InfluencesJean Bourgain
Michael Christ
Carlos Kenig
Terence Tao

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

Research

Colliander's research mostly addresses dynamical aspects of solutions of Hamiltonian partial differential equations, especially non-linear Schrödinger equation.[2]

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]

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, doi:10.4007/annals.2008.167.767, MR 2415387.
  • 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, doi:10.1007/s00222-010-0242-2, MR 2651381.

References
  1. Archived 2 October 2018 at the Wayback Machine Newsletter of University of Toronto Faculty of Arts and Science
  2. Colliander et al. (2008); Colliander et al. (2010).
  3. Staffilani, Gigliola (18 March 2012), Quello Che Si Far per Amore? Della Matematica, Careers in the Math Sciences, archived from the original on 1 April 2018, retrieved 2 January 2015.
  4. Fefferman, Charles (2006), "The work of Terence Tao" (PDF), International Congress of Mathematicians.
  5. I-method, Dispersive Wiki, retrieved 2015-01-02.
  6. Fields Medal announcement for Terry Tao, International Congress of Mathematicians, 2006, retrieved 2015-01-02.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.