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Zhouli Xu

From Wikipedia, the free encyclopedia
Zhouli Xu
Born1987 (age 36–37)
Alma materUniversity of Chicago
Peking University
Known forhomotopy groups of spheres
Awards
Scientific career
FieldsMathematics
InstitutionsMassachusetts Institute of Technology, University of California, San Diego
Thesis In and around stable homotopy groups of spheres  (2017)
Doctoral advisorJ. Peter May, Daniel Isaksen, Mark Mahowald

Zhouli Xu (Chinese: 徐宙利; born 1987) is a Chinese mathematician specializing in topology as an Associate Professor of Mathematics at the University of California, San Diego, known for computations of homotopy groups of spheres.

Education and career

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Xu earned both his B.S. and M.S. in Mathematics from Peking University and his Ph.D. from The University of Chicago in 2017 under the supervision of J. Peter May, Daniel Isaksen, and Mark Mahowald.[1][2][3]

Xu was a C.L.E. Moore Instructor at Massachusetts Institute of Technology from 2017 to 2020. He has been a member of the mathematics faculty at University of California, San Diego since 2020.[2]

Work

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He works in algebraic topology and focuses on classical, motivic and equivariant homotopy groups of spheres, with connections and applications to chromatic homotopy theory and geometric topology.[2]

His research accomplishments include his joint works with collaborators in proving that the 61-dimensional sphere has a unique smooth structure, proving a "10/8 + 4"-theorem on the geography problem in 4-dimensional topology, developing the motivic deformation method and the Chow t-structure, and computing the classical and motivic stable homotopy groups of spheres in the previously unknown range of dimensions.[4]

Awards and honors

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Xu is a recipient of the Plotnick Fellowship in 2015, and the William Rainey Harper Dissertation Fellowship in 2016, both by the University of Chicago.[2][5]

Xu is a recipient of the K-Theory prize in 2022, which is awarded to two recipients of no more than 35 years of age once every four years by the K-Theory Foundation,[6] for his work in the computation of homotopy groups of spheres using motivic homotopy theory.[7]

Xu is an invited speaker in the topology section at the International Congress of Mathematicians 2022.[4][8][9]

Xu is elected as a Fellow of the American Mathematical Society of class 2023, for contributions to stable homotopy theory, applications to manifold topology, and motivic homotopy theory.[10]

Selected publications

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References

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  1. ^ "Zhouli Xu", Mathematics Genealogy Project
  2. ^ a b c d "Zhouli Xu". University of California, San Diego Department of Mathematics.
  3. ^ ""好奇心是数学研究的最大动力 专访ICM2022受邀报告人徐宙利校友"". Peking University.
  4. ^ a b "Topology". International Congress of Mathematicians 2022.
  5. ^ "Graduate students win Harper Fellowships". UChicago Department of Mathematics.
  6. ^ "The K-Theory Foundation Prizes". The K-Theory Foundation.
  7. ^ "Prize Citations for the 2022 K-Theory Foundation Prizes" (PDF). The K-Theory Foundation.
  8. ^ "AMIR MOHAMMADI, ZHOULI XU, TIANYI ZHENG - ICM 2022 INVITED LECTURES". UCSD Department of Mathematics.
  9. ^ "Associate Professor of Mathematics Zhouli Xu is 2022 ICM Lecturer". UCSD SCHOOL OF PHYSICAL SCIENCES.
  10. ^ "2023 Class of Fellows of the AMS". American Mathematical Society.