View source for James Colliander

{{short description|American-Canadian mathematician|bot=PearBOT 5}}
{{Use dmy dates|date=April 2020}}
{{Infobox scientist
| name              = James Colliander
| image             = <!--(filename only)-->
| caption           =
| birth_date        = {{Birth date and age|df=yes|1967|06|22}}
| birth_place       = [[El Paso]], [[Texas]]
| death_date        = 
| death_place       = 
| nationality       = American and Canadian
| field             = [[Mathematics]]
| work_institutions = [[University of British Columbia]]
| alma_mater        = [[University of Illinois, Urbana-Champaign]]
| doctoral_advisor  = [[Jean Bourgain]]
| doctoral_students = 
| known_for         = [[partial differential equations]]
| prizes            = [[Sloan Fellowship]] (2003)<br>[http://www.research.utoronto.ca/research-funding-opportunities/mclean-award/ McLean Award] (2007) 
}}

'''James Ellis Colliander''' (born 22 June 1967) is an American-[[Canadians|Canadian]] [[mathematician]]. He is currently Professor of Mathematics at [[University of British Columbia]] and served as Director of the [[Pacific Institute for the Mathematical Sciences]] (PIMS) during 2016-2021. 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 sensor]]s 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]].

He is also an award-winning teacher.<ref>[http://www.artsci.utoronto.ca/main/newsitems/march-2-2010-2014-colliander-wins-outstanding-teaching-award Newsletter] of [[University of Toronto Faculty of Arts and Science]] ({{Webarchive|url=https://web.archive.org/web/20181002143357/http://www.artsci.utoronto.ca/main/newsitems/march-2-2010-2014-colliander-wins-outstanding-teaching-award |date=2 October 2018}})</ref>

==Research==
Colliander's research mostly addresses dynamical aspects of solutions of Hamiltonian [[partial differential equations]], especially [[non-linear Schrödinger equation]].<ref>{{harvtxt|Colliander|Keel|Staffilani|Takaoka|2008}}; {{harvtxt|Colliander|Keel|Staffilani|Takaoka|2010}}.</ref>

Colliander is a collaborator with Markus Keel, [[Gigliola Staffilani]], Hideo Takaoka, and [[Terence Tao]], forming a group known as the "I-team".<ref>{{citation|url=http://www.siam.org/news/news.php?id=1963|title=Quello Che Si Far per Amore? Della Matematica|date=18 March 2012|department=Careers in the Math Sciences|first=Gigliola|last=Staffilani|access-date=2 January 2015|archive-url=https://web.archive.org/web/20180401065345/http://www.siam.org/news/news.php?id=1963|archive-date=1 April 2018|url-status=dead}}.</ref><ref name="tao1">{{citation|contribution-url=http://www.icm2006.org/proceedings/Vol_I/7.pdf|title=[[International Congress of Mathematicians]]|year=2006|contribution=The work of Terence Tao|first=Charles|last=Fefferman|authorlink=Charles Fefferman|access-date=2 January 2015|archive-date=9 August 2011|archive-url=https://web.archive.org/web/20110809081829/http://www.icm2006.org/proceedings/Vol_I/7.pdf|url-status=dead}}.</ref> The name of this group has been said to come from a mollification [[Operator (mathematics)|operator]] used in the team's ''method of almost conserved quantities'',<ref>[https://web.archive.org/web/20120925081237/http://wiki.math.toronto.edu/DispersiveWiki/index.php/I-method I-method], Dispersive Wiki, retrieved 2015-01-02.</ref> or as an abbreviation for "interaction", referring both to the teamwork of the group and to the interactions of light waves with each other.<ref name="tao2">[http://www.icm2006.org/dailynews/fields_tao_info_en.pdf Fields Medal announcement for Terry Tao] {{Webarchive|url=https://web.archive.org/web/20160303230201/http://www.icm2006.org/dailynews/fields_tao_info_en.pdf |date=3 March 2016 }}, [[International Congress of Mathematicians]], 2006, retrieved 2015-01-02.</ref> The group's work was featured in the 2006 [[Fields Medal]] citations for group member Tao.<ref name="tao1"/><ref name="tao2"/>

==Organization creation==

Colliander is co-founder of the education technology company called [https://crowdmark.com Crowdmark].

Colliander, with colleagues from PIMS, created [https://syzygy.ca/ 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 [https://callysto.ca Callysto], a project designed to improve computational thinking for students and teachers in grades 5-12.

Colliander is co-founder of the [https://2i2c.org 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 <math>\mathbb{R}</math> and <math>\mathbb{T}</math>. 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 <math>\mathbb{R}^3</math>. Comm. Pure Appl. Math. 57 (2004), no. 8, 987–1014.
*{{citation |last1=Colliander |first1=J. |last2=Keel |first2=M. |last3=Staffilani |first3=G. |author3-link=Gigliola Staffilani |last4=Takaoka |first4=H. |last5=Tao |first5=T. |author5-link=Terence Tao |doi=10.4007/annals.2008.167.767 |issue=3 |journal=[[Annals of Mathematics]] |mr=2415387 |pages=767–865 |series=Second Series |title=Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in ℝ<sup>3</sup> |volume=167 |year=2008|doi-access=free }}.
*{{citation |last1=Colliander |first1=J. |last2=Keel |first2=M. |last3=Staffilani |first3=G. |author3-link=Gigliola Staffilani |last4=Takaoka |first4=H. |last5=Tao |first5=T. |author5-link=Terence Tao |doi=10.1007/s00222-010-0242-2 |issue=1 |journal=[[Inventiones Mathematicae]] |mr=2651381 |pages=39–113 |title=Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation |volume=181 |year=2010|doi-access=free |bibcode=2010InMat.181...39C |hdl=1721.1/71665 |hdl-access=free }}.

==References==
{{Reflist}}

==External links==
*{{Official website|http://colliand.com}}
*[http://ams.org/mathscinet/search/publications.html?extend=1&pg1=IID&r=1&s1=605594 MathSciNet: "Items authored by Colliander, James."]{{Dead link|date=January 2020 |bot=InternetArchiveBot |fix-attempted=yes }}
*{{MathGenealogy|id=63499}}
*{{YouTube|z9XM4fyY3z4|James Colliander introducing Crowdmark at 2013 Launch Education and Kids}}
*{{GoogleScholar|CioUdggAAAAJ}}

{{Authority control}}

{{DEFAULTSORT:Colliander, James}}
[[Category:1967 births]]
[[Category:Living people]]
[[Category:Mathematical analysts]]
[[Category:Academic staff of the University of British Columbia Faculty of Science]]
[[Category:20th-century American mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:Canadian mathematicians]]
[[Category:University of Illinois Urbana-Champaign alumni]]