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Curriculum Vitae
Xiaowei Wang
Email: [email protected]
Department of Mathematics and Computer Sciences,
Rutgers University, Newark, NJ
Personal information
• Telephone: (973)353-3911.
• Webpage: http://andromeda.rutgers.edu/∼ xiaowwan/
Research Interests
Differential Geometry, Algebraic Geometry and Symplectic Geometry.
Education
• 2002 Ph.D.
Brandeis University,
• 1995 M.Sc.
Peking University,
P.R.China
• 1992 B.Sc.
Wuhan University,
P.R.China
USA
Thesis Title and Adviser
• Thesis Adviser: Shing-Tung Yau (Harvard University)
• Thesis Title: Canonical metric and stability of vector bundles over a projective manifold.
Professional Experiences
• 2010-present Assistant Professor, Department of Mathematics and Computer Sciences, Rutgers University, Newark.
• 2005-2010 Assistant Professor, Department of Mathematics,
The Chinese University of Hong Kong.
• 2003-2006 Hedrick Assistant Professor, Department of Mathematics,
UCLA (on leave 2005-2006)
• 2002-2003 Adjunct Assistant Professor, Department of Mathematics,
UCLA
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Long Term Academic Visiting
• Jan.-May. 2016, MSRI, UC Berkeley, CA
• Aug. 17-Sep. 17, 2015, Simons Center of Geometry and Physics, Stony Brook University.
• Dec. 6, 2012-Jan. 6, 2013, Institut de Math´ematiques de Jussieu, Paris
• Sep.10, 2009-Jan.6, 2010, Dept. of Math. Harvard University
• Jul. 1-30, 2009, Dept. of Math. Stanford University
Publications
1. Hilbert Mumford Criterion for nodal curves (Joint with Jun Li ) arXiv:1108.1727, to appear Compos.
Math. (2015).
2. Isometric embeddings via heat kernel(Joint with Ke Zhu) arXiv:1305.5613, J. Differential Geom. 99
(2015), 497-538.
3. Nonexistence of asymptotic GIT compactification (Joint with Chenyang Xu) arXiv:1212.0173, Duke
Math. J. 163 (2014), no. 12, 2217-2241.
4. Thin instantons in G2-manifolds and Seiberg-Witten invariants. (Joint with Naichung Conan Leung
and Ke Zhu) arXiv:1107.1947, J. Differential Geom. 95 , no. 3, (2013), 419-483.
5. Instantons in G2 manifolds from J-holomorphic curves in coassociative submanifolds (Joint with Naichung
Conan Leung and Ke Zhu), Proceedings of the G¨okova Geometry-Topology Conference 2012, 89-111.
6. Height and GIT weight. Math. Res. Lett. 19 (2012), no 4, 909-926.
7. A quadratic inequality for sum of co-adjoint orbits. (Joint with Naichung Conan Leung) Comm. Anal.
Geom. 17 (2009), no. 2, 265–282.
8. Theta function and Bergman metric on Abelian Varieties. (Joint with Hok Pun Yu) New York J.
Math. 15 (2009), 19–35.
9. Riemannian moment map. Comm. Anal. Geom. 16 (2008), no. 4, 837-863.
10. Canonical metrics on stable vector bundles. Comm. Anal. Geom. 13 (2005), no. 2, 253-285.
11. Moment map, Futaki invariant and stability of projective manifolds. Comm. Anal. Geom. 12 (2004),
no. 5, 1009-1037.
12. Balance point and stability of vector bundles over a projective manifold. Math. Res. Lett. 9 (2002),
no. 2-3, 393–411.
13. Canonical metric and stability of vector bundles over a projective manifold. Ph.D. Thesis, Advisor:Yau
Shing-Tung Brandeis University 2002.
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Preprints
1. Convergence of the conical Ricci flow on S 2 to a soliton (Joint with D.H. Phong, Jian Song and Jacob
Sturm) arXiv:1503.04488.
2. Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds (Joint with Chi Li
and Chenyang Xu) arXiv:1502.06532, submitted.
3. Degeneration of Fano Kahler-Einstein manifolds (Joint with Chi Li and Chenyang Xu) arXiv:1411.0761,
submitted.
4. The Ricci flow on the sphere with marked points (Joint with D.H. Phong, Jian Song and Jacob Sturm)
arXiv:1407.1118.
5. Connecting toric manifolds by conical Kahler-Einstein metrics (Joint with Ved Datar, Bin Guo, Jian
Song) arXiv:1308.6781, submitted.
6. The greatest Ricci lower bound, conical Einstein metrics and the Chern number inequality (Joint with
Jian Song) arXiv:1207.4839, submitted.
Research Grant
• Simons Foundation, Collaboration Grants for Mathematicians. Geometry of Kahler manifold USD
35,000. September 1st, 2013-August 30th, 2018. Proposal Number: 281299, Award Number: 281299
• Rutgers University Research Council Grant Award. K¨
ahler Geometry and Geometric USD 1000. July
1st, 2013-Jun. 30th, 2014. Fund Source Number 202083.
• Rutgers University Research Council Grant Award. GIT stability of Projective Varieties USD 1150.
July 1st, 2011-Jun. 30th, 2012. Fund Source Number 202235.
• RGC grant-CUHK403709. GIT stability of projective manifolds and Geometry of Hermitian symmetric
spaces 2009-2011. HKD 312,000.
• RGC grant-CUHK403106. Moment map and its role in Kahler and Riemannian geometry 2006-2009.
HKD 388,460.
• Direct Grant-CUHK. Moment Map in Geometry 2005-2006, HKD 100,000 Project Code:2060282
Peer-Review Referee for Journal of Differential Geometry, Journal of Algebraic Geometry, Mathematical
Research Letter, Communications in Analysis and Geometry , Pacific Journal of Mathematics,Communications
in Mathematical Physics, Geometric and Functional Analysis, Geometry and Topology, Journal f¨
ur Die Reine
und Angewandte Mathematik, Mathematische Annalen.
Current Students
• Lee, King-Leung(Joint with Jacob Sturm), Ph. D. student at Rutgers University, Newark.
Students Supervised
• Yu, Hok-Pun M. Phil. in 2008 at CUHK
• Tsoi, Hung-Ming M. Phil. in 2008 at CUHK
• Lee, King-Leung M. Phil. in 2011 at CUHK
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Postdoc Supervised
• Zhu, Ke Ph.D. 2004, Stanford. postdoc 2008-2010 in CUHK.
Conference (Co-)Organized
• Co-organizer (with Naichung Leung) Workshop in Geometry, May 24 - 30, 2006. Institute of Mathematical Science, The Chinese University of Hong Kong.
• Co-organizer (with Jun Li) Workshop in Complex Geometry, Jul 22-25, 2013. Shanghai Center for
Mathematical Scinece(SCMS), Fudan University, Shanghai, China.
• Co-organizer (with Zheng Huang, Marcello Lucia and Jian Song), RU-CUNY Symposium on Geometric
Analysis. Dec 13-15, 2014. Graduate Center, CUNY.
Other Activity
• Co-organizer (with Y. Sakellaridis), Rutgers-Newark Mathematics Colloquium.
• Co-organizer (with J. Sturm and Jian Song), Rutgers-Newark and New Brunswick joint Complex
Geometry Seminar.
List of collaborators
• Ved Datar, Rutgers University
• Bin Guo, Rutgers University
• Naichung Conan Leung, The Chinese University of Hong Kong
• Chi Li, Stony Brook University
• Jun Li, Stanford University
• D. H. Phong, Columbia University
• Jian Song, Rutgers University
• Jacob Sturm, Rutgers University
• Hok-Pun Yu, The Chinese University of Hong Kong
• Ke Zhu, University of Minnesota
• Chenyang Xu, Peking University, Beijing China.
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Invited talks
• Lecture, Harvard University, Differential Geometry Seminar, 2/12/2002
• Lecture, John Hopkins University, Analysis Seminar, 2/26/2002
• Lecture, University of California at Irvine, Differential Geometry Seminar, 1/21/2003
• Lecture, University of California at Santa Barbara, Differential Geometry Seminar, 3/19/2003
• Lecture, University of Arizona, Geometry Seminar 3/9/2004
• Lecture, University of Minnesota, Differential Geometry and Geometric Analysis Seminar 3/24/2004
• Lecture, University of Minnesota, Symplectic Geometry Seminar3/25/2004
• Lecture, University of Southern California,Geometry Seminar 4/15/2004
• Invited speaker, John Hopkins University, Algebraic Geometry Seminar, 9/28/2004
• Invited speaker, University of California, Santa Barbara AMS 2005 Spring Western Section Meeting ,
4/17/2005
• Colloquium speaker, CUHK Hong Kong Geometry colloquium, 29 Oct 2005.
• Invited speaker, University of Hong Kong, Workshop on complex geometry, 13 July 2006
• Invited speaker, ICMS Edinburgh, Workshop on Extremal Kahler Metrics and Stability, 17 July 2006
• Lecture, University of Tokyo, 23 October 2006
• Invited speaker, Sugadaira conference on complex geometry in Japan, 26 October 2006
• Lecture, Fudan University, 20 August 2007
• Lecture, Fudan University, Workshop on Algebraic geometry, 27 August 2007
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• Colloquium Speaker, University of Arizona, Jan. 10th, 2008
• Invite Speaker, Conference on Regulators and Heights in Algebraic Geometry Apr 12 - 16th, 2008.
University of Alberta, Edmonton, Canada.
• Invite Speaker, Rutgers University, New Brunswick, Complex analysis and Complex geometry seminar
Nov. th, 2009.
• Invite Speaker, Ohio State University, Geometric analysis seminar Dec. 1st, 2009.
• Colloquium Speaker, Rutgers University, Newark, Dec. 7th, 2009.
• Invited Speaker, Columbia University, Geometric analysis seminar Dec. 10th, 2009.
• Invited Speaker, Northeastern University, Geometry seminar, Dec. 13th, 2009.
• Invited Speaker, Algebraic Geometry Workshop, Fudan University, Jun. 22, 2010.
• Invited Participant(fully supported), Compact moduli and vector bundles, University of Georgia,
Athens, GA, Oct. 21-24, 2010
• Invited Speaker, International Congress of Chinese Mathematicians (ICCM) Beijing, China Dec 17-22,
2010.
• Invited Participants (Partially Supported), Complex and Riemannian geometry CIRM, Univ. of Marseille, Marseille,France. Feb. 7-11, 2011.
• Invited Speaker, Le sminaire Analyse Complexe et Gomtrie(Mar. 15), Visiting University Paris, Jussieu
Mar. 12-19, 2011.
• Invited Speaker, Workshop on Differential Geometry, Fudan University, Jun. 27-Jul. 8, 2011.
• Invited Speaker, New Developments in Stability and Moduli Conference in Honor of the 68th Birthday
of David Gieseker. Jul. 18-23,2011. Hangzhou, China.
• Invited participant(fully supported), WORKSHOP ON KAHLER GEOMETRY, Cambridge, UK. Apr.
10-13, 2012.
• Invited speaker, Algebraic Geometry Seminar, University of Utah, Sep. 16-22, 2012.
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• Invited Speaker, Le seminaire Analyse Complexe et Geometrie(Dec. 18), visiting University Paris,
Jussieu Dec. 6-Jan. 6, 2012.
• Invited Speaker, University of Waterloo, Geometry and Topology Seminar(Feb. 6), Feb. 5-9, 2013.
• Invited Speaker, CUNY, Differential Geometry Seminar, Feb. 26, 2013.
• Invited Speaker, Stony Brook University, Algebra, Geometry and Physics seminar, Apr. 3, 2013.
• Invited participant(fully supported), Summer school and workshop on ”Ricci curvature: limit spaces
and Kahler geometry”, Jul. 01 - 12, 2013.
• Invited Speaker, five lecture series, Shanghai Center for Mathematical Sciences, Fudan University,
Shanghai China, Jul. 22-25, 2013.
• Colloquium Speaker, Lehigh University, Nov. 13, 2013.
• Mini-School on K-stability, Stony Brook University, Dec. 6, 2013.
• Invited Speaker, University of Alberta, Canada Apr. 4, 2014
• Invite Speaker, Workshop on Complex Monge-Amp`ere Equations on Compact K¨
ahler Manifolds, Banff,
Canada Apr. 6-11, 2014
• Invite Speaker, Workshop on K-stability Universit´e de Grenoble, France, Jun. 2-6, 2014
• Lecture at the seminar of ”Topology of Algebraic Varieties” Degeneration of Fano Kahler-Einstein
manifolds 11:00am - 12:30pm, at IAS, Princeton. Dec. 2, 2014
• Invited participants, Workshop on Distribution of Rational and Holomorphic Curves in Algebraic Varieties, Banff, Canada Mar. 15-20, 2015.
• Invited Speaker, Conference on complex geometry, Academia Sinica, Taiwan Dec. 19-23, 2015.
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