View source for Gigliola Staffilani

{{short description|Italian-American mathematician}}
{{ Infobox scientist
| name              = Gigliola Staffilani
| image             = Gigliola Staffilaniat Oberwolfach (2013).jpg
| caption           = Gigliola Staffilani (2013)
| birth_date        = {{birth-date and age|March 24, 1966}}
| birth_place       = 
| nationality       = {{plainlist|
* [[Italy]]
* [[United States]]
}}
| fields            = [[Mathematics]]
| workplaces        = {{plainlist|
* [[Stanford University]]
* [[Brown University]]
* [[Massachusetts Institute of Technology|MIT]]
}}
| alma_mater        = [[University of Chicago]]
| doctoral_advisor  = [[Carlos Kenig]]
| thesis_title      = The initial value problem for some dispersive differential equations
| thesis_year       = 1995
| doctoral_students = 
| known_for         =
| awards            = {{plainlist|
Fellow, [[American Mathematical Society]] (2012)
Fellow, [[American Academy of Arts and Sciences]] (2014)
Member, [[National Academy of Sciences]] (2021)
}}
| website = {{URL|http://math.mit.edu/~gigliola/}}
}}

'''Gigliola Staffilani''' (born March 24, 1966)<ref>Birth year from [http://id.loc.gov/authorities/names/n2013011965.html Library of Congress catalog entry], retrieved 2018-12-02.</ref> is an Italian-American{{r|globe}}<ref name=power>{{cite book|title=Power in Numbers:The rebel women of mathematics|author=Talthia Williams|publisher=Race Point Publishing|year=2018|isbn=978-1631064852|pages=219–221}}</ref> mathematician who works as the Abby Rockefeller Mauze Professor of Mathematics at the [[Massachusetts Institute of Technology]].<ref name="cv">[http://math.mit.edu/~gigliola/CV_2013 Curriculum vitae] {{Webarchive|url=https://web.archive.org/web/20160305083417/http://math.mit.edu/~gigliola/CV_2013 |date=2016-03-05 }}, retrieved 2015-01-01.</ref><ref name="siam">{{citation|url=http://www.siam.org/news/news.php?id=1963|title=Quello Che Si Far per Amore? Della Matematica|date=March 18, 2012|department=Careers in the Math Sciences|first=Gigliola|last=Staffilani|access-date=January 1, 2015|archive-url=https://web.archive.org/web/20180401065345/http://www.siam.org/news/news.php?id=1963|archive-date=April 1, 2018|url-status=dead}}. An autobiographical retrospective of Staffilani's life and career.</ref><ref name="globe">{{citation|url=http://www.boston.com/news/science/articles/2008/04/28/a_life_of_unexpected_twists_takes_her_from_farm_to_math_department/|newspaper=[[Boston Globe]]|title=A life of unexpected twists takes her from farm to math department|date=April 28, 2008|first=Billy|last=Baker}}. [http://www.ias.ac.in/womeninscience/Mathematician.pdf Archived by the Indian Academy of Sciences, Women in Science initiative].</ref> Her research concerns [[harmonic analysis]] and [[partial differential equation]]s, including the [[Korteweg–de Vries equation]] and [[Schrödinger equation]].

== Education and career ==
Staffilani grew up on a farm in [[Martinsicuro]] in central Italy, speaking only the local dialect, and with no books until her older brother brought some back from his school. Her father died when she was 10, and her mother decided that she did not need to continue on to high school, but her brother helped her change her mother's mind. She came to love mathematics at her school, and was encouraged by her teachers and brother to continue her studies, with the idea that she could return to Martinsicuro as a mathematics teacher. She earned a fellowship to study at the [[University of Bologna]], where she earned a [[laurea]] in mathematics in 1989 with an undergraduate thesis on [[Green's function]]s for [[elliptic partial differential equation]]s.<ref name="cv" /><ref name="siam" /><ref name="globe" />

At the suggestion of one of her professors at Bologna, she moved to the [[University of Chicago]] for her graduate studies, to study with [[Carlos Kenig]]. This was a big change in her previous plans, because it would mean that she could not return to Martinsicuro. When she arrived at Chicago, still knowing very little English and not having taken the [[Test of English as a Foreign Language]], she had the wrong type of visa to obtain the teaching fellowship she had been promised. She almost returned home, but remained after [[Paul Sally]] intervened and loaned her enough money to get by until the issue could be resolved.<ref name="siam" /><ref name="globe" /> At Chicago, she studied [[dispersive partial differential equation]]s with Kenig,<ref name="siam" /> earning a master's degree in 1991 and a Ph.D. in 1995.<ref name="cv" /><ref>{{mathgenealogy|id=88184}}</ref>

After postdoctoral studies at the [[Institute for Advanced Study]], [[Stanford University]], and [[Princeton University]], Staffilani took a tenure-track faculty position at Stanford in 1999, and earned tenure there in 2001. While at Stanford, she met her husband, [[Tomasz Mrowka]], a mathematics professor at MIT, and after a year and a half found a faculty position closer to him at [[Brown University]]. She moved to MIT in 2002,<ref name="cv" /><ref name="siam" /> where, in 2006  she became the second  female full professor of mathematics.<ref name="globe" /> She served as an [[American Mathematical Society]] Council member at large from 2018 to 2020.<ref>{{Cite web |title=AMS Committees |url=http://www.ams.org/about-us/governance/committees/mal-past.html |access-date=2023-03-29 |website=American Mathematical Society |language=en}}</ref>

== Collaboration ==
Staffilani is a frequent collaborator with [[James Colliander]], Markus Keel, Hideo Takaoka, and [[Terence Tao]], forming a group known as the "I-team".<ref name="siam" /><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|author-link=Charles Fefferman|access-date=2015-01-01|archive-date=2011-08-09|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 the notation for a mollification [[Operator (mathematics)|operator]] used in the team's ''method of almost conserved quantities'',<ref>[http://wiki.math.toronto.edu/DispersiveWiki/index.php/I-method I-method] {{Webarchive|url=https://web.archive.org/web/20120925081237/http://wiki.math.toronto.edu/DispersiveWiki/index.php/I-method |date=2012-09-25 }}, 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=2016-03-03 }}, [[International Congress of Mathematicians]], 2006, retrieved 2015-01-02.</ref> The group's work was featured prominently in [[Charles Fefferman|Fefferman]]'s 2006 [[Fields Medal]] citations for group member Tao.<ref name="tao1" /><ref name="tao2" />

== Awards and honors ==
Staffilani was a [[Sloan Fellowship|Sloan Fellow]] from 2000 to 2002.<ref name="cv" /> In 2009-2010 she was a member of the [[Radcliffe Institute for Advanced Study]].
In 2012 she became one of the inaugural [[fellow]]s of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2015-01-01.</ref> In 2014 she was inducted into the [[American Academy of Arts and Sciences]].<ref>[https://www.amacad.org/multimedia/pdfs/classlist.pdf Member listing], [[American Academy of Arts and Sciences]], retrieved 2015-06-13.</ref> In 2021, she was elected to the National Academy of Sciences.<ref name=nas>{{cite web|title=2021 NAS Election|url=http://www.nasonline.org/news-and-multimedia/news/2021-nas-election.html|publisher=National Academy of Sciences|access-date=26 April 2021}}</ref>

== 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.
* Staffilani, Gigliola; Tataru, Daniel. Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Comm. Partial Differential Equations 27 (2002), no. 7-8, 1337–1372. [[doi:10.1081/PDE-120005841]] {{mr|1924470}}
* 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. [[doi:10.1090/S0894-0347-03-00421-1]] {{mr|1969209}} {{arxiv|math/0110045}}
* 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.
* Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in <math>\mathbb{R}^3</math>. Ann. of Math. (2) 167 (2008), no. 3, 767–865. [[doi:10.4007/annals.2008.167.767]] {{mr|2415387}}

== References ==
{{reflist}}

== External links ==
*[http://math.mit.edu/~gigliola/ Home page]

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{{DEFAULTSORT:Staffilani, Gigliola}}
[[Category:1966 births]]
[[Category:Living people]]
[[Category:20th-century American mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:Italian mathematicians]]
[[Category:University of Bologna alumni]]
[[Category:University of Chicago alumni]]
[[Category:Stanford University faculty]]
[[Category:Princeton University faculty]]
[[Category:Brown University faculty]]
[[Category:Massachusetts Institute of Technology School of Science faculty]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:20th-century American women mathematicians]]
[[Category:21st-century American women mathematicians]]
[[Category:Members of the United States National Academy of Sciences]]