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{{short description|Chinese-American mathematician|bot=PearBOT 5}}
{{Use dmy dates|date=June 2019}}
{{Western name order|Chen Xiuxiong}}
 
'''Xiuxiong Chen''' ({{zh|s=陈秀雄|p=Chén Xiùxióng}}) is a Chinese-American mathematician whose research concerns [[differential geometry]] and [[differential equation]]s.<ref>{{Cite web|url=http://www.math.stonybrook.edu/~xiu/|title=Xiuxiong Chen|last=|first=|date=|website=Stony Brook University|archive-url=|archive-date=|dead-url=|access-date=2019-04-08}}</ref> A professor at [[Stony Brook University]] since 2010, he was elected a Fellow of the [[American Mathematical Society]] in 2015 and awarded the [[Oswald Veblen Prize in Geometry]] in 2019.▼
{{BLP sources|date=June 2021}}
 
▲'''Xiuxiong Chen''' ({{zh|s=陈秀雄|p=Chén Xiùxióng}}) is a Chinese-American {{citation needed|date=June 2021}} mathematician whose research concerns [[differential geometry]] and [[differential equation]]s.<ref>{{Cite web|url=http://www.math.stonybrook.edu/~xiu/|title=Xiuxiong Chen|last=|first=|date=|website=Stony Brook University|archive-url=|archive-date=|dead-url=|access-date=8 April 2019-04-08}}</ref> A professor at [[Stony Brook University]] since 2010, he was elected a Fellow of the [[American Mathematical Society]] in 2015 and awarded the [[Oswald Veblen Prize in Geometry]] in 2019. In 2019, he was awarded the [[Simons Investigator]] award.<ref>[https://www.simonsfoundation.org/mathematics-physical-sciences/simons-investigators/simons-investigators-awardees/ Simons Investigators Awardees], The Simons Foundation</ref>
 
== Biography ==
Chen was born in [[Qingtian County]], [[Zhejiang]], China.<ref name=":1">{{Cite web|url=http://news.takungpao.com/paper/q/2014/0515/2478097.html|title=陈秀雄─卡拉比高徒|last=|first=|date=15 May 2014-05-15|website=[[Ta Kung Pao]]|archive-url=|archive-date=|dead-url=|access-date=9 April 2019-04-09}}</ref> He entered the Department of Mathematics of the [[University of Science and Technology of China]] in 1982,<ref>{{Cite web|url=https://www.ustcif.org/default.php/content/4053/|title=陈秀雄孙崧荣获维布伦奖|last=|first=|date=2018-11-20 November 2018|website=University of Science and Technology of China Initiative Foundation|archive-url=|archive-date=|dead-url=|access-date=9 April 2019-04-09}}</ref> and graduated in 1987.<ref name=":1" /> He subsequently studied {{when|date=June 2021}} under Peng Jiagui (彭家贵) at the [[Graduate School of the Chinese Academy of Sciences]], where he earned his master's degree. {{when|date=June 2021}} <ref name=":1" />
 
In 1989 {{citation needed|date=June 2021}}, he moved to the United States to study at the [[University of Pennsylvania]].<ref name=":1" /> The last doctoral student of [[Eugenio Calabi]],<ref name=":1" /><ref name=":2" /> he obtained his Ph.D. in mathematics in 1994, with his dissertation on "Extremal [[Hermitian matrix|Hermitian Matrices]] with Curvature Distortion in a [[Riemann surface|Riemann Surface]]".<ref name=":2" />
 
Chen was an instructor at [[McMaster University]] in Canada from 1994 to 1996 {{citation needed|date=June 2021}}. For the next two years he was a [[National Science Foundation]] postdoctoral fellow at [[Stanford University]]. He was as an assistant professor at [[Princeton University]] from 1998 to 2002, before becoming an associate professor at the [[University of Wisconsin–Madison]]. He was promoted to full professor in 2005. Since October 2010 he has been a professor at [[Stony Brook University]].<ref>{{Cite web|url=http://www.math.stonybrook.edu/~xiu/vitae.pdf|title=Vitae|last=Chen|first=Xiuxiong|date=|website=Stony Brook University|archive-url=|archive-date=|dead-url=|access-date=8 April 2019-04-08}}</ref> In 2006, he founded the Pacific Rim Conference on Complex Geometry at the University of Science and Technology of China.<ref name=":1" />
 
As of 2019, Chen has advised 17 Ph.D. students, including [[Song Sun]] (孙崧) and Bing Wang (王兵).<ref name=":1" /><ref name=":2">{{Cite web|url=https://www.genealogy.math.ndsu.nodak.edu/id.php?id=23053|title=Xiu-Xiong Chen|last=|first=|date=|website=The Mathematics Genealogy Project|archive-url=|archive-date=|dead-url=|access-date=8 April 2019-04-08}}</ref> He was elected a Fellow of the [[American Mathematical Society]] in 2015 "for contributions to differential geometry, particularly the theory of extremal [[Kahler metrics]]".<ref>{{Cite web|url=http://www.ams.org/profession/fellows-list |title=List of Fellows of the American Mathematical Society |website=American Mathematical Society |access-date=8 April 2019-04-08}}</ref> He was an invited speaker at the 2002 [[International Congress of Mathematicians]], in Beijing.<ref name="icm2002">{{cite web|url=https://www.mathunion.org/fileadmin/IMU/ICM2002/offline/Beijing/indexB/Invited_Speakers.htmlhtm#4|title=ICMInvited Speakers|last=|first=|date=9 May 2002|website=International Congress of Mathematicians, Beijing 2002|archive-url=|archive-date=|access-date=24 May 2019}}</ref>
 
== Conjecture on Fano manifolds and Veblen Prize ==
In 2019, Chen was awarded the prestigious [[Oswald Veblen Prize in Geometry]], together with English mathematician [[Simon Donaldson]] and Chen's former student [[Song Sun]], for proving a long-standing conjecture on [[Fano manifolds]], which states "that a Fano manifold admits a [[Kähler-EinsteinKähler–Einstein metric]] if and only if it is K-stable". It had been one of the most actively investigated topics in geometry since itsa loose version of it was first proposed proposal in the 1980s by eventual [[Fields Medalist]] [[Shing-Tung Yau]] after hehis provedproof of the [[Calabi conjecture]]. ItMore wasprecise laterversions were subsequently proposed generalized by Chinese mathematician [[Gang Tian]] and Donaldson. The solution by Chen, Donaldson and SongSun was published in the ''[[Journal of the American Mathematical Society]]'' in 2015 as a three-article series, "Kähler–Einstein metrics on Fano manifolds, I, II and III".<ref>{{Cite web|url=http://www.ams.org/news?news_id=4705|title=2019 Oswald Veblen Prize in Geometry to Xiuxiong Chen, Simon Donaldson, and Song Sun|last=|first=|date=19 November 2018-11-19|website=American Mathematical Society|archive-url=|archive-date=|dead-url=|access-date=9 April 2019-04-09}}</ref><ref name=":0">{{Cite web|url=https://news.stonybrook.edu/homespotlight/stony-brook-faculty-win-prestigious-veblen-prize-in-geometry/|title=Stony Brook Faculty Win Prestigious Veblen Prize in Geometry|last=|first=|date=20 November 2018-11-20|website=Stony Brook University|archive-url=|archive-date=|dead-url=|access-date=8 April 2019-04-08}}</ref>
 
==SelectedMajor publications==
* Chen, Xiuxiong. ''The space of Kähler metrics.'' J. Differential Geom. 56 (2000), no. 2, 189--234189–234.▼
* Chen, X. X.; Tian, G. ''Geometry of Kähler metrics and foliations by holomorphic discs.'' Publ. Math. Inst. Hautes Études Sci. No. 107 (2008), 1–107.
* Chen, Xiuxiong; Donaldson, Simon; Sun, Song. ''Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities.'' J. Amer. Math. Soc. 28 (2015), no. 1, 183--197183–197.▼
* Chen, Xiuxiong; Donaldson, Simon; Sun, Song. ''Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π.'' J. Amer. Math. Soc. 28 (2015), no. 1, 199--234199–234.▼
* Chen, Xiuxiong; Donaldson, Simon; Sun, Song. ''Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof.'' J. Amer. Math. Soc. 28 (2015), no. 1, 235--278235–278.▼
* Chen, Xiuxiong; Wang, Bing. ''Space of Ricci flows (II)—Part B: Weak compactness of the flows.'' J. Differential Geom. 116 (2020), no. 1, 1 - 123.
* Chen, Xiuxiong; SunCheng, SongJingrui. Calabi''On flow, geodesic rays, and uniqueness ofthe constant scalar curvature Kähler metrics (I)—A priori estimates.'' AnnJ. ofAmer. Math. (2)Soc. 18034 (20142021), no. 24, 407--454909–936.▼
* Chen, Xiuxiong; Cheng, Jingrui. ''On the constant scalar curvature Kähler metrics (II)—Existence results.'' J. Amer. Math. Soc. 34 (2021), no. 4, 937–1009.
 
== References ==▼
▲Chen, Xiuxiong. The space of Kähler metrics. J. Differential Geom. 56 (2000), no. 2, 189--234.
{{Reflist}}
 
{{Clear}}
Chen, Xiuxiong; Tian, Gang. Ricci flow on Kähler-Einstein surfaces. Invent. Math. 147 (2002), no. 3, 487--544.
{{Veblen Prize recipients}}▼
 
Calabi, Eugenio; Chen, Xiuxiong. The space of Kähler metrics. II. J. Differential Geom. 61 (2002), no. 2, 173--193.
 
Chen, Xiuxiong; Tian, Gang. Ricci flow on Kähler-Einstein manifolds. Duke Math. J. 131 (2006), no. 1, 17--73.
 
Chen, Xiuxiong; Lebrun, Claude; Weber, Brian. On conformally Kähler, Einstein manifolds. J. Amer. Math. Soc. 21 (2008), no. 4, 1137--1168.
 
Chen, Xiuxiong. Space of Kähler metrics. III. On the lower bound of the Calabi energy and geodesic distance. Invent. Math. 175 (2009), no. 3, 453--503.
 
Chen, Xiuxiong; Donaldson, Simon. Volume estimates for Kähler-Einstein metrics: the three-dimensional case. J. Differential Geom. 93 (2013), no. 2, 175--189.
 
Chen, Xiuxiong; Donaldson, Simon. Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. J. Differential Geom. 93 (2013), no. 2, 191--201.
 
▲Chen, Xiuxiong; Sun, Song. Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics. Ann. of Math. (2) 180 (2014), no. 2, 407--454.
 
▲Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. J. Amer. Math. Soc. 28 (2015), no. 1, 183--197.
 
▲Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π. J. Amer. Math. Soc. 28 (2015), no. 1, 199--234.
 
▲Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof. J. Amer. Math. Soc. 28 (2015), no. 1, 235--278.
 
Chen, Xiuxiong; Sun, Song; Wang, Bing. Kähler-Ricci flow, Kähler-Einstein metric, and K-stability. Geometry and Topology, Volume 22, Number 6 (2018), 3145-3173
 
 
 
 
 
 
 
 
 
 
▲==References==
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▲{{Veblen Prize recipients}}
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{{DEFAULTSORT:Chen, Xiuxiong}}
 
[[Category:21st-century Chinese mathematicians]]▼
[[Category:Living people]]▼
▲[[Category:21st-century ChineseAmerican mathematicians]]
[[Category:Academic staff of McMaster University faculty]]▼
[[Category:Chinese emigrants to the United States]]▼
[[Category:Differential geometers]]
[[Category:University of Pennsylvania alumni]]▼
[[Category:Stony Brook University faculty]]▼
[[Category:Fellows of the American Mathematical Society]]
[[Category:University of Science and Technology of China alumni]]▼
▲[[Category:Chinese emigrants to the United States]]
[[Category:American scientists of Chinese descent]]
[[Category:University of the Chinese Academy of Sciences alumni]]▼
[[Category:Mathematicians from Zhejiang]]
[[Category:People from Qingtian County]]
▲[[Category:Living people]]
▲[[Category:McMaster University faculty]]
[[Category:Stanford University faculty]]▼
[[Category:Princeton University faculty]]
▲[[Category:Stanford University facultypostdoctoral scholars]]
▲[[Category:Stony Brook University faculty]]
[[Category:Simons Investigator]]
▲[[Category:University of the Chinese Academy of Sciences alumni]]
▲[[Category:University of Pennsylvania alumni]]
▲[[Category:University of Science and Technology of China alumni]]
[[Category:University of Wisconsin–Madison faculty]]
[[Category:Year of birth missing (living people)]]
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