科研主页

简旺键（Wangjian Jian）

Brief CV

I am mainly working on geometric analysis and complex geometry, including Kahler-Ricci flow, Ricci flow, collapsing Calabi-Yau metrics and other related topics.


Office: Siyuan Building（思源楼） 624


Email: wangjian@amss.ac.cn


Employment

2021 --           Institute of Mathematics, C.A.S., Assistant Research Fellow 

2019 -- 2021   Hua Loo-Keng Center for Mathematics Sciences, C.A.S., Postdoctoral Fellow 

                        Advisor: Xiangyu Zhou


Education

2014 -- 2019  Ph.D. in Mathematics, Peking University  

                      Advisor: Gang Tian

2017 -- 2018  Visiting Scholar, Rutgers, The State University of New Jersey  

                      Advisor: Jian Song

2010 -- 2014  B.S. in Mathematics and Applied Mathematics, University of Science and 

                      Technology of China




Siyuan Building（思源楼） 914Advisor: Jian Son

Preprints

  1. Finite time singularities of the Kahler-Ricci flow (with J. Song, and G. Tian)

    Preprint (2023)

  2. New proofs of Perelman's estimates for the Fano Kahler-Ricci flow (with J. Song, and G. Tian)

    Preprint (2023)

  3. Geometric regularity of the blow-up limits of the Kahler-Ricci flow (with M. Hallgren, J. Song, and G. Tian)

    Preprint (2023)

  4. Csck metrics on minimal models (with B. Guo, Y. Shi, and J. Song)

    Preprint (2023)

Publications

  1. Tangent Flows of Kahler Metric Flows (with M. Hallgren)

    to appear in J. Reine Angew. Math.

  2. $L^\infty$ estimates for Kahler-Ricci flow on Kahler-Einstein Fano manifolds: a new derivation (with Y. Shi)

    to appear in Proc. Amer. Math. Soc.

  3. On the improved no-local-collapsing theorem of Ricci flow

    Peking Math. J. 6 (2023), no. 2, 459–468.

  4. Diameter estimates for long-time solutions of the Kahler-Ricci flow (with J. Song)

    Geom. Funct. Anal. 32 (2022), no. 6, 1335–1356.

  5. Global ε-regularity for 4-dimensional Ricci flow with integral scalar curvature bound

    Pacific J. Math. 319 (2022), no. 2, 333–342.

  6. Global higher-order estimates for collapsing Calabi-Yau metrics on elliptic K3 surfaces (with Y. Shi)

    J. Geom. Anal. 31 (2021), no. 5, 4586–4611.

  7. A "boundedness implies convergence'' principle and its applications to collapsing estimates in Kahler geometry (with Y. Shi)

    Nonlinear Anal. 206 (2021), Paper No. 112255, 21 pp.

  8. Convergence of scalar curvature of Kahler-Ricci flow on manifolds of positive Kodaira dimension

    Adv.Math.371,107253, 27 pp.(2020).

  9. A remark on constant scalar curvature Kahler metrics on minimal models (with Y. Shi and J. Song)

    Proc. Amer. Math. Soc. 147 (2019), no. 8, 3507–3513.

Teaching Experience

  1. BICMR Summer School, Riemannian Geometry

    August, 2022

  2. Teaching Assistant at School of Mathematical Sciences, University of Chinese Academy of Sciences.

    Calculus, Spring, 2020

  3. Teaching Assistant at School of Mathematical Sciences, Peking University.

    Calculus, Fall, 2015; Calculus, Spring, 2016; Calculus, Fall, 2016; Calculus, Spring, 2017.

Honors and Awards

  1. 第十四届陈景润未来之星，（中国科学院数学与系统科学研究院），2022-2024

  2. 北京大学优秀毕业生， （北京大学）, 2019.

  3. 北京大学优秀博士毕业论文， （北京大学）, 2019.

  4. 北京国际数学研究中心研究生奖学金，（北京大学）, 2018-2019.

  5. 博士研究生国家奖学金， （中国）, 2018.

Invited Talks

  1. International Conference in Geometric and Analysis, ShanDong University, China, September 5th-9th, 2022

    Some recent developments in Ricci flow and Kahler-Ricci flow

  2. The 6th China-Japan geometry conference, ChongQing University of Technology, China, December 23th-29th, 2021

    Volume estimates along the Ricci flow and applications in the Kahler-Ricci flow

  3. The 2021 Annual Conference on Several Complex Variables, online, JiLin Normal University, China, November 13th-15th, 2021

    Title: Diameter estimates for the long-time solution of the Kahler-Ricci flow.

  4. 2021 Workshop on `Local regularities and singularities in Ricci flow' in Westlake University, China, March 19th-22th, 2021.

    Title: Entropy bounds and structure theory of the limits of Ricci flow.

  5. 2021 UC Berkeley Differential Geometry Seminar (online), USA, March 1st, 2021.

    Title: Diameter and Ricci curvature estimates for the collapsing long-time solution of the Kahler-Ricci flow.

  6. 2020 Beijing Geometric Analysis Day, China, December 12th-13th, 2020.

    Title: Entropy bounds and compactness theory of Ricci flow.

  7. 2019 International Conference in Geometric and Analysis, China, May 14th-19th, 2019.

    Title: A general convergence lemma and its application to collapsing Kaehler metrics.

  8. Geometric Analysis Workshop, Xiamen University, China, March 22nd-- 24th, 2019.

    Title: The long-time solution of the Kahler-Ricci flow and collapsing Monge-Ampere equation.

  9. Differential Geometric Youth Forum in Beijing, Beijing Normal University, China, December 1st-- 5th, 2018.

    Title: The Kahler-Ricci flow and cscK on minimal model.

Survey Papers

  1. Volume estimates along the Ricci flow and some applications to the Kahler-Ricci flow

    Surveys in Geometric Analysis 2022, Science Press Beijing.

  2. Higher-order regularity of collapsing metrics in Kahler geometry

    Surveys in Geometric Analysis 2019, Science Press Beijing

Funding

  1. National Natural Science Foundation of China, National Science Foundation for Young Scholars (Grant No.12201610)

    2023-01-01 to 2025-12-31, PI

  2. China Postdoctoral Science Foundation (Grant No.2019M660827)

    2019 to 2021, PI

  3. National Natural Science Foundation of China, General Program (Grant No.12371058)

    2024-01-01 to 2027-12-31, Participant (PI: Yalong Shi)

  4. Ministry of Science and Technology of China, National Key R&D Program of China (Grant No.2021YFA1003100)

    2022-01-01 to 2027-12-31，Participant (PI: Xiangyu Zhou)

Contact Informations

Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences，No. 55, Zhongguancun East Road, Haidian District, Beijing 100190, China

18410136381

wangjian@amss.ac.cn

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