Xinwen Zhu
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Xinwen Zhu (; born 1982 in
Sichuan Sichuan (; zh, c=, labels=no, ; zh, p=Sìchuān; alternatively romanized as Szechuan or Szechwan; formerly also referred to as "West China" or "Western China" by Protestant missions) is a province in Southwest China occupying most of the ...
) is a Chinese mathematician and professor at
Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
. His work deals primarily with geometric representation theory and in particular the Langlands program, tying
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
to
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
and
quantum physics Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, qua ...
."Prime Numbers, Quantum Fields, and Donuts: An Interview with Xinwen Zhu"
''
Caltech The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
''. Retrieved on 3 December 2016.


Biography

Zhu obtained his A.B. in mathematics from
Peking University Peking University (PKU; ) is a public research university in Beijing, China. The university is funded by the Ministry of Education. Peking University was established as the Imperial University of Peking in 1898 when it received its royal charter ...
in 2004 and his Ph.D. in mathematics from the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
in 2009 under the direction of Edward Frenkel. He taught at
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...
as a Benjamin Peirce Lecturer and at
Northwestern University Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Charte ...
as an assistant professor before joining the Caltech faculty in 2014. According to the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
, " hustudies the geometry and topology of flag varieties of loop groups and applies techniques from the geometric Langlands program to arithmetic geometry." The awards Zhu has received include an AMS Centennial Fellowship in 2013 and a
Sloan Fellowship The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States. ...
in 2015. His research has been published in
Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...
and
Inventiones mathematicae ''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors ...
, among other mathematics journals. Zhu, Wei Zhang,
Xinyi Yuan Xinyi Yuan (; 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. In particular, his work focuses on arithmetic intersection t ...
and
Zhiwei Yun Zhiwei Yun (; born September 1982) is a Professor of Mathematics at MIT specializing in number theory, algebraic geometry and representation theory, with a particular focus on the Langlands program. He was previously a C. L. E. Moore instructor ...
are frequent collaborators. In 2019 he received the
Morningside Medal The Morningside Medal of Mathematics () is awarded to exceptional mathematicians of Chinese descent under the age of forty-five for their seminal achievements in mathematics and applied mathematics. The winners of the Morningside Medal of Mathematic ...
jointly with
Zhiwei Yun Zhiwei Yun (; born September 1982) is a Professor of Mathematics at MIT specializing in number theory, algebraic geometry and representation theory, with a particular focus on the Langlands program. He was previously a C. L. E. Moore instructor ...
.Morningside Medal 2019
/ref> Zhu won the 2020 New Horizons in Mathematics
Breakthrough Prize The Breakthrough Prizes are a set of international awards bestowed in three categories by the Breakthrough Prize Board in recognition of scientific advances. The awards are part of several "Breakthrough" initiatives founded and funded by Yuri Mi ...
"For work in arithmetic algebraic geometry including applications to the theory of Shimura varieties and the Riemann-Hilbert problem for p-adic varieties."


Publications (selected)

* (with Edward Frenkel
"Gerbal Representations of Double Loop Groups"
International Mathematics Research Notices The ''International Mathematics Research Notices'' is a peer-reviewed mathematics journal. Originally published by Duke University Press and Hindawi Publishing Corporation, it is now published by Oxford University Press."Local models of Shimura varieties and a conjecture of Kottwitz"
Inventiones mathematicae ''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors ...
194 (2013), No. 1, 147–254.
"On the coherence conjecture of Pappas and Rapoport"
Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...
180 (2014), No. 1, 1–85. * (with Denis Osipov
"A categorical proof of the Parshin reciprocity laws on algebraic surfaces"
Algebra & Number Theory 5 (2011), No. 3, 289–337.
"Affine Demazure modules and T-fixed point subschemes in the affine Grassmannian"
Advances in Mathematics ''Advances in Mathematics'' is a peer-reviewed scientific journal covering research on pure mathematics. It was established in 1961 by Gian-Carlo Rota. The journal publishes 18 issues each year, in three volumes. At the origin, the journal aimed ...
221 (2009), No. 2, 570–600.
"Affine Grassmannians and the geometric Satake in mixed characteristic"
Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...
185 (2017), No. 2, 403–492. * (with Edward Frenkel
"Any flat bundle on a punctured disc has an oper structure"
Mathematical Research Letters 17 (2010), no. 1, 27–37.
"The geometric Satake correspondence for ramified groups"
Annales Scientifiques de l'École Normale Supérieure ''Annales Scientifiques de l'École Normale Supérieure'' is a French scientific journal of mathematics published by the Société Mathématique de France. It was established in 1864 by the French chemist Louis Pasteur and published articles in ma ...
48 (2015), no. 2, 409–451. * (with
Zhiwei Yun Zhiwei Yun (; born September 1982) is a Professor of Mathematics at MIT specializing in number theory, algebraic geometry and representation theory, with a particular focus on the Langlands program. He was previously a C. L. E. Moore instructor ...

"Integral homology of loop groups via Langlands dual groups"
Representation Theory 15 (2011), 347–369. * (with An Huang, Bong H. Lian
"Period integrals and the Riemann–Hilbert correspondence"
Journal of Differential Geometry The ''Journal of Differential Geometry'' is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year. The journal publishes an annual supplement in book ...
104 (2016), No. 2, 325–369. * (with Tsao-Hsien Chen
"Geometric Langlands in prime characteristic"
Compositio Mathematica ''Compositio Mathematica'' is a monthly peer-reviewed mathematics journal established by L.E.J. Brouwer in 1935. It is owned by the Foundation Compositio Mathematica, and since 2004 it has been published on behalf of the Foundation by the London M ...
153 (2017), No. 2, 395–452.


References

{{DEFAULTSORT:Zhu, Xinwen Mathematicians from Sichuan Living people UC Berkeley College of Letters and Science alumni California Institute of Technology faculty Peking University alumni Year of birth missing (living people) Educators from Sichuan Harvard University faculty Northwestern University faculty Chinese expatriates in the United States Sloan Research Fellows