Curriculum Vitae - Kai Zheng. Kai Zheng

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1 Kai Zheng Mathematics Institute University of Warwick Coventry CV4 7AL United Kingdom Academic Appointments Room: B2.34 Zeeman Building Phone: Homepage: Marie Curie Fellow, University of Warwick, UK Since May 2016 Research Fellow, University of Warwick, UK May 2015-May 2016 Wissenschaftliche Mitarbeiter, Leibniz Universität Hannover, Germany Sept Mar Postdoctoral Researcher, Institut Fourier, Grenoble, France May 2011-May 2012 Academic Visits IHES, France Sept.-Oct MSRI, Berkeley, USA Spring 2016 SCGP, Stony Brook University, USA Oct.-Nov. 2011; Nov.-Dec AMSS, Chinese Academy of Sciences, China Sept.-Oct CMI, Marseille, France December 2013 BICMR, Peking University, China Sept.-Nov ICTP, Trieste, Italy June, 2008; Feb.-Apr University of Wisconsin-Madison, USA Mar Chern Institute of Mathematics, Tianjin, China May-June 2007 Education Ph.D. in Mathematics, Chinese Academy of Sciences, China Sept July 2010 Dissertation: The pseudo-calabi flow. Thesis advisors: Professor Weiyue Ding and Professor Xiuxiong Chen. Date: 10 July 2010 B.S. in Mathematics, Xiamen University, China Sept July 2005 Awards and Grants Marie Skłodowska-Curie Individual Fellowship Supervisor: Professor Peter Topping Total value: 183, Title: Calabi flows with unbounded curvature Nine-month visiting fellowship (declined) 2013 ICTP, Trieste, Italy 1st Prize in China Undergraduate Mathematical Contest in Modeling nd Prize in China Undergraduate Mathematical Contest in Modeling 2003 Publications and Preprints 1

2 17. Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors, with Long Li and Jian Wang. arxiv: , 44 pages. 16. Existence of constant scalar curvature Kähler cone metrics, properness and geodesic stability. arxiv: , 49 pages. 15. Geodesics in the space of Kähler cone metrics, II. Uniqueness of constant scalar curvature Kähler cone metrics. arxiv: , 71 pages. 14. Expansion formula for complex Monge-Ampère equation along cone singuarlties, with Hao Yin. arxiv: , 29 pages. 13. Construction of constant scalar curvature Kähler cone metrics, with Julien Keller. Proc. Lond. Math. Soc. (2018) pages. 12. Uniqueness of constant scalar curvature Kähler metrics with cone singularities, I: Reductivity, with Long Li. Math. Ann. (2017) pages. 11. Generalized Matsushima s theorem and Kähler-Einstein cone metrics, with Long Li. Calc. Var. Partial Differential Equations 57 (2018), no. 2, Art. 31, 43 pages. 10. Regularity scales and convergence of the Calabi flow, with Haozhao Li and Bing Wang. J. Geom. Anal. (2017) pages. 9. The geodesic problem for the Dirichlet metric and the Ebin metric on the space of Sasakian metrics, with Simone Calamai and David Petrecca. New York J. Math. 22 (2016) Geodesics in the space of Kähler cone metrics, I, with Simone Calamai. Amer. J. Math. 137 (2015), no I-properness of Mabuchi s K-energy. Calc. Var. Partial Differential Equations 54 (2015), no. 3, The Dirichlet and the weighted metrics for the space of Kähler metrics, with Simone Calamai. Math. Ann. 363 (2015), no. 3, Kähler metrics with cone singularities and uniqueness problem. Current trends in analysis and its applications, , Trends Math., Birkhäuser/Springer, Cham, Kähler non-collapsing, eigenvalues and the Calabi flow, with Haozhao Li. J. Funct. Anal. 267 (2014), no. 5, The pseudo-calabi flow, with Xiuxiong Chen. J. Reine Angew. Math. 674 (2013), Stability of Calabi flow near an extremal metric, with Hongnian Huang. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 11 (2012), no. 1, Stability of Kähler-Ricci flow in the space of Kähler metrics. Pacific J. Math. 251 (2011), no. 2,

3 Teaching Experience University of Warwick, UK 2016/17 term 1, Lecturer on MA4A2 Advanced PDEs 2015/16 term 1, Lecturer on MA4A2 Advanced PDEs TA at Leibniz Universität Hannover, Germany WS 2014/15, Mathematics for Engineers I SS 2014, Mathematics for Engineers II WS 2013/14, Mathematics for Engineers I SS 2013, Mathematics for Engineers II SS 2013, Global Analysis - Differential geometry WS 2012/13, Mathematics for Engineers I Mini courses: AMSS, China SS 2016, Lecturer on convergence of the Calabi flow (20 hours) USTC, China SS 2009, Summer school course on surgery of Ricci flow AMSS, China WS 2007/08, Lecturer on metric Riemannian geometry Conferences Organization Co-organized the junior Warwick-Imperial-Cambridge geometric analysis seminar Queen Mary University of London, January 5-8, 2016 Seminars Organization Co-organized reading seminars at Hannover WW 2014/15, The geometry of jet bundles Co-organized PhD seminars at AMSS WS 2006/07, Harmonic heat flow SS 2006, Harmonic map WS 2005/06, Riemannian geometry SS 2005, Second order elliptic PDEs Academic Services Referee for: American Journal of Mathematics, Annales de l Institut Fourier, Inventiones mathematicae, Journal für die reine und angewandte Mathematik (Crelle s Journal), Journal of Mathematical Study, Journal of the Korean Mathematical Society, Proceedings of the American Mathematical Society. Reviewer for: EPSRC Grant applications Since 2015 Mathematical Reviews (MR) Since 2011 Zentralblatt MATH Since 2015 Talks 3

4 University of Bath May 3, 2018 Seminars. Tongji, Shanghai March 8, 2018 Colloquia & Seminars. Academy of Mathematics and Systems Science, CAS December 4, 2017 Aarhus Differential Algebraic Geometry seminars. Centre for Quantum Geometry of Moduli Spaces, Denmark November 7-8, 2017 Pacific Rim Complex-Symplectic Geometry Conference. IBS Center for Geometry and Physics, Pohang, South Korea July 31-August 4, 2017 SMI course Kähler-Einstein metrics. Palazzone di Cortona, Italy April 30 - May 6, 2017 Fudan Young Researchers Forum. Shanghai, China February 27-March 1, 2017 Geometric Analysis Seminar, Peking university, China January 13, 2017 Shanghai Center for Mathematical Sciences, Fudan University, China December 29, 2016 Durham Pure Maths Colloquium. Durham University, UK October 24, 2016 Workshop on Geometric analysis and Geometric PDE. Toulouse, France September 6-9, 2016 Yorkshire Durham Geometry Day, University of Leeds, UK June 9, 2016 Junior Warwick-Imperial-Cambridge geometric analysis seminar, QMUL, UK January, 2016 Tsinghua University, China December, 2015 Analysis Seminar, University of Warwick, UK Octobor, 2015 Conference on Analysis and Geometry, USTC, China August, 2015 Infinite-dimensional Riemannian geometry, ESI, University of Vienna, Austria January, 2015 Geometric Flows Program Seminar, SCGP, Stony Brook University, USA November, 2014 AMSS, Chinese Academy of Sciences, China August, 2014 University of Freiburg, Germany July, 2014 Workshop on Geometric Analysis, Kunming, China April, 2014 CMI, Marseille, France December, th International ISAAC Congress, Kraków, Poland August, 2013 Leibniz Universität Hannover, Germany November, th Pacific Rim Complex Geometry Conference, Osaka, Japan August, 2012 CMI, Marseille, France April, 2012 Théaorie spectrale et géométrie, Institut Fourier, France November, 2011 Workshop Geometric analysis II, Institut Fourier, France September, 2011 USTC, China July, 2011 Joint ICTP/SISSA Geometric Analysis Seminars, ICTP, Italy March, 2011 University of Freiburg, Germany February, 2011 Workshop on Geometric Analysis, Lanzhou University, China July, 2010 International Conference on Geometric Nonlinear PDEs, Peking University, China June, 2010 AMSS, Chinese Academy of Sciences, China May, 2010 USTC, China July, 2009 Peking University, China November, 2008 Workshop on Geometry Analysis, USTC, China August, 2008 University of Wisconsin-Madison, USA March, 2008 Conferences/Workshops/Seminars attended Constant Scalar Curvature Metrics in Kähler and Sasaki Geometry. CIRM, France, January 15-19, 2018 Junior Warwick-Imperial-Cambridge geometric analysis seminar, Cambridge, UK October 3, 2017 Geometry of Manifolds. Simons Center for Geometry and Physics, USA October 23-27, 2017 Symplectic geometry - celebrating the work of Simon Donaldson. Cambridge, UK August 14-18, 2017 Differentialgeometrie im Grossen. Oberwolfach, Germany July 2-8, 2017 Geometry - in honour of Mario Micallef s 60th birthday. Warwick, UK May 8-10, 2017 Geometric PDE. Warwick, UK December 12-16, 2016 The Pacific Rim Conference on Complex & Symplectic Geometry XI. USTC, China Jul Aug. 1st, 2016 Perspectives in Geometric Analysis at XJTU. Xi an, China July 8-12,

5 Extremal Kähler metrics, reductive groups compactifications and stationnary Lagrangians. Crete, Greece June 27-July 1st, 2016 Complex Geometry and Beyond. CIMI, Toulouse, France June 13-22, 2016 Metric and Analytic Aspects of Moduli Spaces, MSRI, Berkeley, USA March, 2016 Geometric Flows, Queen Mary University of London, UK January, 2016 Kähler Geometry, Einstein Metrics, and Generalizations, Isaac Newton Institute, Cambridge, UK July, 2015 Advances in Geometric Analysis, Warwick, UK July, 2015 Warwick-Imperial-Cambridge Geometric Analysis seminar, Imperial College London, UK July, 2015 Flowers and Friends in Frankfurt 2015, Goethe-Universität Frankfurt, Germany March, th Northern German Differential Geometry Day, Hannover, Germany July, 2014 BIRS Workshop Complex MA Equations on Compact Kähler Manifolds Banff, Canada April, 2014 Workshop on Minimal Submanifolds and Related Topics, Hannover, Germany August, th Northern German Differential Geometry Day, Hamburg University, Germany June, 2013 KAWA 4 winter school in complex analysis and geometry, Toulouse, France January, 2013 Complex Geometry and Symplectic Geometry Conference, Ningbo, China July, 2012 Geometric and Nonlinear Analysis: meeting in Lorraine, Nancy, France June, 2011 Perspectives in Geometric Analysis, Chern Institute of Mathematics, Tianjin, China Octobor, 2008 Workshop on Geometry Analysis USTC, China August, 2008 Workshop on Geometric Analysis, Chern Institute of Mathematics, Tianjin, China June, 2007 International Conference on Variational Methods, Chern Institute of Mathematics, Tianjin, China May,

B.S. in Mathematics and Its Application, Beijing Normal University, 2004.

B.S. in Mathematics and Its Application, Beijing Normal University, 2004. Bin Zhou School of Mathematical Sciences, Peking University, Beijing, 100871 Phone: Mobile: Email: bzhou@pku.edu.cn PERSONAL DATA Male Born August 14, 1982, Jiangxi, China Chinese Citizen Married EDUCATION