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CV

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Work Experience：

2018-present, Professor, School of Mathematical Sciences, University of Science and Technology of China.

2012-2018, Assistant Professor, Associate Professor, Department of Mathematics, University of Wisconsin-Madison.

2011-2012, Research Assistant Professor, Simons Center for Geometry and Physics, SUNY at Stony Brook.

2008-2011, Instructor, Department of Mathematics, Princeton University.

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Education Background：

2003-2008, PhD student, Department of Mathematics, University of Wisconsin-Madison.

1998-2003, Undergraduate student, Special class for gifted young, University of Science and Technology of China

  • Personal CV

    • Research

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    Journal papers:

    1. Ricci flow smoothing for locally collapsing manifolds (in collabration with S.S. Huang), Calculus of Variations and Partial Differential Equations 61 (2022), no.2.

    2. On Ilmanen's multiplicity one conjecture for mean curvature flow with type-I mean curvature, (in collabration with H.Z. Li), Journal of European Mathematical Society 24 (2022), no.1, 37-135.

    3. On the structure of Ricci shrinkers, (in collabration with H.Z. Li and Y. Li), Journal of functional analysis 280 (2021), 108955.

    4. ​​On the regular-convexity of Ricci shrinker limit spaces, (in collaboration with S.S. Huang, Y Li),  Journal für die reine und angewandte Mathematik, 771 （2021)， 99-136.

    5. Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing, (in collabration with S.S. Huang and X.C. Rong), Symmetry, Integrability and Geometry: Methods and Applications(SIGMA) 16(2020), no 123.

    6. ​​Heat Kernel on Ricci Shrinkers, (in collabration with Y. Li), Calculus of Variations and Partial Differential Equations, 59(2020), article number:194.

    7. Space of Ricci flows(II)---part B: weak compactness of the flows, (in collabration with X.X.Chen), Journal of Differential Geometry, 116(2020), 1-123.

    8. Remarks of weak-compactness along K\"{a}hler Ricci flow, (in collabration with X.X.Chen), Proceedings of the 7th International Congress of Chinese Mathematicians, 2019.

    9. The extension problem of the mean curvature flow(I), (in collaboration with H.Z. Li), Inventiones Mathematicae,218 (2019),no.3,721-777.

    10. Rigidity of Vector Valued Harmonic maps of linear growth, (in collaboration with S.S. Huang), Geometriae Dedicata, 202 (2019),no1,357-371.

    11. The Rigidity of Ricci shrinkers of dimension four, (in collabration with Y. Li), Transactions of American Mathematical Society, vol. 371(2019), no 10, 6949-6972.

    12. The local entropy along Ricci flow---part A: the no-local-collapsing theorems, Cambridge Journal of Mathematics, vol. 6(2018), no, 3, 267-346.

    13. K\"ahler-Ricci flow, K\"{a}hler-Einstein metric and K-stability, (in collaboration with S. Song, X.X.Chen), Geometry and Topology, vol. 22(2018), no. 6, 3145-3173.

    14. Regularity scales and convergence of the Calabi flow, (in collabration with H.Z. Li, K. Zheng), The Journal of Geometric Analysis, vol. 28(2018), no 3, 2050-2101.

    15. Space of Ricci flows(II)---part A: moduli of singular Calabi-Yau space, (in collaboration with X.X.Chen), Forum of Mathematics, Sigma, vol. 5(2017).

    16. On the structure of almost Einstein manifolds, (in collaboration with G.Tian), Journal of American Mathematical Society, vol. 28(2015), no. 4, 1169-1209.

    17. On the conditions to extend Ricci flow(III), (in collaboration with X.X.Chen), Int. Math. Res. Notices, Vol. 2013, no. 10, 2349-2367.

    18. On the conditions to extend Ricci flow(II), Int. Math. Res. Notices, Vol. 2012, no. 14, 3192-3223.

    19. Space of Ricci flows(I), (in collaboration with X.X.Chen), Communications in Pure and Applied Math, vol. 65(2012), no. 10, 1399-1457.

    20. The K\"{a}hler Ricci flow on Fano manifolds (I), (in collaboration with X.X.Chen), Journal of European Mathematical Society, vol. 14(2012), no.6, 2001-2038.

    21. The K\"{a}hler Ricci flow on Fano surfaces (I), (in collaboration with X.X.Chen), Mathematische Zeitschrift, Vol. 270(2012), no 1-2, 577-587.

    22. Remarks on K\"{a}hler Ricci flow, (in collaboration with X.X.Chen), The Journal of Geometric Analysis, vol. 20(2010), no. 2.

    23. K\"{a}hler Ricci flow with small initial $E_1$ energy (I), (in collaboration with X.X.Chen, H.Z. Li), Geometric and Functional Analysis, vo. 18(2009), no. 5, 1525-1563.

    24. On the conditions to extend Ricci flow, Int Math Res Notices(2008), Vol. 2008.

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    Preprints:

    1.Canonical diffeomorphisms of manifolds near spheres, (in collaboration with X.R. Zhao), arXiv:2109.14803, submitted.

    2.Ricci integrals,local functionals and the Ricci flow, (in collaboration with Y.Q. Ma), arXiv:2109.02449, submitted.

    3.Rigidity of round cylinders in Ricci shrinkers, (in collaboration with Y. Li), arXiv:2108.03622, submitted.

    4.The local entropy along Ricci flow---Part B: the pseudo-locality theorems, arXiv:2010.09981, submitted.

    5. Rigidity of the first Betti number via Ricci flow smoothing, (in collaboration with S.S.Huang), arXiv:2004.09762, submitted.

    6. Space of Ricci flows(II), (in collaboration with X.X.Chen), arXiv: 1405.6797, with furtherdetails, and published in part A and part B.

    7. Ricci flow on orbifold, arXiv:1003.0151.

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    Teaching

    Teaching at USTC(Fall 2018-present)

      Spring of 2022, MATH3002, Real analysis. 【Course Information】

      Fall of 2021, FS1001, Science and Society.

      Spring of 2021, 001250, Real analysis.

      Summer of 2020, 001365, Introduction to Pure Mathematics.

      Summer of 2020, Summer School Course of Tsinghua University, Ricci Flow & Sphere Theorem.

      Spring of 2020, MA06004.01, Topics in Differential Geometry.

      Spring of 2019, MA06004.01, Topics in Differential Geometry.

    Teaching at UW-Madison(Fall 2012-Spring 2018)

    Spring of 2018, Math 951, Seminars/Topics in Geometric Analysis.

    Fall of 2017, Math 461, College Geometry I.

    Spring of 2017, Math 461, College Geometry I.

    Spring of 2017, Math 765, Differential Geometry.

    Fall of 2016, Math 461, College Geometry I.

    Spring of 2016, Math 240, Discrete mathematics.

    Spring of 2016, Math 319, Differential equations.

    Fall of 2015, Math 761, Differentiable manifolds.

    Fall of 2015, Math 340, Elementary matrix and linear algebra.

    Spring of 2015, Math 234, Calculus III.

    Fall of 2014, Math 865, Advanced topics in geometry.

    Fall of 2014, Math 234, Calculus III.

    Spring of 2014, Math 722, Complex analysis.

    Fall of 2013, Math 222, Calculus and Analytic Geometry 2.

    Spring of 2013, Math 320, Differential Equations & Linear Algebra.

    Spring of 2013, Math 820, Partial Differential Equations.

    Fall of 2012, Math 320, Differential Equations & Linear Algebra.

    Teaching at Princeton University (Fall 2008 – Spring 2011)

    Spring of 2011, Mat 202, Linear Algebra with Applications.

    Fall of 2010, Mat 201, Multivariable Calculus.

    Spring of 2010, Mat 202, Linear Algebra with Applications.

    Fall of 2009, Mat 327, Introduction to Differential Geometry.

    Fall of 2009, Mat 203, Advanced Multivariable Calculus.

    Spring of 2009, Mat 202, Linear Algebra with Applications.

    Fall of 2008, Mat 202, Linear Algebra with Applications.

    Teaching at University of Wisconsin, Madison(Spring 2004 – Spring 2008)

    Spring of 2008, Math 210, Finite Mathematics.

    Fall of 2007, Math 320, Linear Algebra and Ordinary Differential Equations.

    Spring of 2007, Math 217, Calculus.

    Fall of 2006, Math 211, Calculus.

    Summer of 2006, Math 221, Calculus.

    Spring of 2006, Math 211, Calculus.

    Fall of 2005, Math 211, Calculus.

    Spring of 2005, Math 211, Calculus.

    Fall of 2004, Math 211, Calculus.

    Spring of 2004, Math 222, Calculus.