From Wikipedia, the free encyclopedia
Xinyi Yuan (
Chinese : 袁新意 ; born 1981) is a Chinese mathematician who is currently a professor of
mathematics at
Peking University working in
number theory ,
arithmetic geometry , and
automorphic forms .
[1] In particular, his work focuses on arithmetic intersection theory,
algebraic dynamics ,
Diophantine equations and special values of
L-functions .
Education
Yuan is from
Macheng ,
Huanggang ,
Hubei province, and graduated from
Huanggang Middle School in 2000.
[2] That year, he received a gold medal at the
International Mathematical Olympiad while representing
China .
[3] Yuan obtained his A.B. in mathematics from
Peking University in 2003 and his Ph.D. in mathematics from the
Columbia University in 2008 under the direction of
Shou-Wu Zhang .
[4] His article "Big Line Bundles over Arithmetic Varieties," published in
Inventiones Mathematicae , demonstrates a natural sufficient condition for when the
orbit under the
absolute Galois group is equidistributed.
[5]
Career
He spent time at the
Institute for Advanced Study ,
Princeton University , and
Harvard University before joining the Berkeley faculty in 2012.
[6]
Yuan was appointed a
Clay Research Fellow for a three-year term from 2008 to 2013.
[7] Together with a number of other collaborators, Yuan was profiled in
Quanta Magazine and
Business Insider for, among other things, his research on L-functions.
[8]
[9]
Yuan left UC Berkeley to become a full professor at
Peking University in 2020.
[10]
Research
Together with Shou-Wu Zhang, Yuan proved the
averaged Colmez conjecture which was later shown to imply the
André–Oort conjecture for
Siegel modular varieties by
Jacob Tsimerman .
[11]
[12]
Publications (selected)
(with Tong Zhang)
"Effective Bound of Linear Series on Arithmetic Surfaces" ,
Duke Mathematical Journal 162 (2013), no. 10, 1723–1770.
"On Volumes of Arithmetic Line Bundles" ,
Compositio Mathematica 145 (2009), 1447–1464.
"Big Line Bundles over Arithmetic Varieties" ,
Inventiones mathematicae 173 (2008), no. 3, 603–649.
(with Tong Zhang)
"Relative Noether inequality on fibered surfaces" ,
Advances in Mathematics 259 (2014), 89–115.
(with
Shou-Wu Zhang )
"The arithmetic Hodge index theorem for adelic line bundles" ,
Mathematische Annalen (2016), 1–49.
(with
Wei Zhang ,
Shou-Wu Zhang )
"The Gross–Kohnen–Zagier theorem over totally real fields" ,
Compositio Mathematica 145 (2009), no. 5, 1147–1162.
(with
Wei Zhang ,
Shou-Wu Zhang )
"The Gross–Zagier formula on Shimura curves" , Annals of Mathematics Studies vol. 184, Princeton University Press, 2012.
(with
Wei Zhang ,
Shou-Wu Zhang )
"Triple product L-series and Gross–Kudla–Schoen cycles" , preprint.
Yuan, Xinyi; Zhang, Shou-Wu (2018). "On the averaged Colmez conjecture". Annals of Mathematics . 187 (2): 553–638.
arXiv :
1507.06903 .
doi :
10.4007/annals.2018.187.2.4 .
S2CID
118916754 .
References
^
"Xinyi Yuan" . math.berkeley.edu . Retrieved 2020-11-14 .
^
"黄冈中学近14年来未出省状元 发展过程中矛盾凸显" . Xinhua News Agency. 6 April 2015. Archived from
the original on August 3, 2017. Retrieved 3 August 2017 .
^
"Xinyi Yuan – Official IMO Results" ,
International Mathematical Olympiad . Retrieved on 4 December 2016.
^
"Xinyi Yuan CV" ,
UC Berkeley . Retrieved on 3 December 2016.
^
"Big line bundles over arithmetic varieties" ,
Inventiones Mathematicae . Published September 2008. Retrieved on 4 December 2016.
^
"IAS Member – Xinyi Yuan" ,
Institute of Advanced Study . Retrieved on 4 December 2016.
^
"Xinyi Yuan" ,
Clay Mathematics Institute . Retrieved on 3 December 2016.
^
"Math Quartet Joins Forces on Unified Theory" ,
Quanta Magazine . Retrieved on 3 December 2016.
^
"Math Quartet Joins Forces on Unified Theory" ,
Business Insider . Retrieved on 4 December 2016.
^
"Xinyi Yuan | Department of Mathematics at University of California Berkeley" .
^ "February 2018". Notices of the American Mathematical Society . 65 (2): 191. 2018.
ISSN
1088-9477 .
^ Yuan, Xinyi; Zhang, Shou-Wu (2018). "On the averaged Colmez conjecture". Annals of Mathematics . 187 (2): 553–638.
arXiv :
1507.06903 .
doi :
10.4007/annals.2018.187.2.4 .
S2CID
118916754 .
International National Academics Other