个人简介
Education:
Ph.D. in Mathematics, Harvard University, 1988
M. S. in Mathematics, Peking University, China, 1984
B. S. in Mathematics, Nanjing University, China, 1982
Employment:
Assistant Professor of Mathematics, 1988-1990, Princeton University, NJ
Associate Professor of Mathematics, 1990-1991, SUNY, Stony Brook, NY
Associate Professor of Mathematics, 1991-1992, CIMS, NYU
Professor of Mathematics, 1991-, Peking University, Beijing, China
Professor of Mathematics, 1992-1996, Courant Institute of Mathematical Sciences
Professor of Mathematics, 1995-1996, MIT, Cambridge, MA
Simons Professor of Mathematics, 1996-2006, MIT, Cambridge, MA
Professor of Mathematics, 2003-2009, Princeton University, NJ
Higgins Professor of Mathematics, 2009-2017, Princeton University, NJ
Dean of School of Mathematical Sciences, 2013-2017, Peking University, Beijing, China
Higgins Professor Emeritus, 2017-, Princeton University, NJ
Fellowships and Honors:
Alfred P. Sloan Foundation Doctoral Dissertation Fellowship, 1987
Alfred P. Sloan Research Fellow, 1991-1993
19th Alan Waterman Award, NSF, USA, 1994
Oswald Veblen Prize, sponsor: American Mathematical Society, 1996
Elected to Chinese Academy of Sciences, 2001
Elected to American Academy of Arts and Sciences, 2004
Special national expert of Chinese 1000 program, 2010-
Distinguished Lectures:
1994 Bergman Memorial Lecture, Stanford University
1996 Courant Lecture, NYU
1996 Distinguished Lecture, University of Wisconsin, Madison
1997 Nachdiplomvorlesung Lectures, ETH, Zurich
1998 Myhill Lectures, New York State University, Buffalo, NY
1999 Andrejewski Lectures, Gottingen University, Germany
2000 Rado Lectures, Ohio State University
2001 Ellenberg Visiting Chair, Columbia University
2004 Unni Namboodiri Lectures, University of Chicago
2004 M. Morse Lectures, Institute for Advanced Study, Princeton
2006 Gergen Lecture, Duke University
2007 University Lecture, University of Wisconsin, Madison
2007 Distinguished Lecture, IMPA
2008 Rainish Lecture, University of Michigan
2008 Leonardo de Vinci Lecture, University of Milan, Italy
2008 Journee de Rham, Swiss Mathematical Society, Lausanne, Switzerland
2009 F. Klein Lectures, Bonn University, Germany
2010 The D’Atri Memorial Lecture, Rutgers University, NJ
2012 The Owen Lecture, Wayne State University, Michigan
2013 Aisenstadt Chair, CRM, Canada
2013 The 13th Takagi Lectures, Kyoto University, Japan
2014 The Landau Lecture series, Hebrew University of Jerusalem, Israel
2015 The Marker Lecture, Penn. State University, USA
2015 The Moursund Lecture, University of Oregon, USA
2018 Distinguished Lecture, KAIST, Korea
2018 Fields-Carleton Distinguished Lecture, Carleton University, Canada
2019 Blumenthal Lecture in Geometry, Tel Aviv University, Israel
近期论文
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Li, Chi; Tian, Gang; Wang, Feng The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties. Peking Math. J. 5 (2022), no. 2, 383–426.
Tian, Gang; Zhang, Zhenlei Relative volume comparison of Ricci flow. Sci. China Math. 64 (2021), no. 9, 1937–1950.
Li, Chi; Tian, Gang; Wang, Feng On the Yau-Tian-Donaldson conjecture for singular Fano varieties. Comm. Pure Appl. Math. 74 (2021), no. 8, 1748–1800.
Tian, Gang; Xu, Guangbo Virtual cycles of gauged Witten equation. J. Reine Angew. Math. 771 (2021), 1–64.
Tian, Gang; Wang, Feng Cheeger-Colding-Tian theory for conic Kähler-Einstein metrics. J. Geom. Anal. 31 (2021), no. 2, 1471–1509.
Feng, Renjie; Tian, Gang; Wei, Dongyi. Spectrum of SYK Model. Peking Math. J. 2 (2019), no. 1, 41–70.
Feng, Renjie; Tian, Gang; Wei, Dongyi. Small gaps of GOE. Geom. Funct. Anal. 29 (2019), no. 6, 1794–1827.
Li, Chi; Tian, Gang. Orbifold regularity of weak Kähler-Einstein metrics. Advances in complex geometry, 169–178, Contemp. Math., 735, Amer. Math. Soc., Providence, RI, 2019.
Bellettini, Costante; Tian, Gang. Compactness results for triholomorphic maps. J. Eur. Math. Soc. (JEMS) 21 (2019), no. 5, 1271–1317.
Tian, Gang. Some progresses on Kähler-Ricci flow. Boll. Unione Mat. Ital. 12 (2019), no. 1-2, 251–263.
Shi, Yuguang; Sun, Jiacheng; Tian, Gang; Wei, Dongyi. Uniqueness of the mean field equation and rigidity of Hawking mass. Calc. Var. Partial Differential Equations 58 (2019), no. 2, Art. 41, 16 pp.
Tian, Gang; Wei, Dongyi. Asymptotic of Enumerative Invariants in CP2. Peking Math. J. 1 (2018), no. 2, 125–140.
Naber, Aaron; Tian, Gang. Geometric structures of collapsing Riemannian manifolds II. J. Reine Angew. Math. 744 (2018), 103–132.
Tian, Gang; Xu, Guangbo. Analysis of gauged Witten equation. J. Reine Angew. Math. 740 (2018), 187–274.
Tian, Gang. K-stability implies CM-stability. Geometry, analysis and probability, 245–261, Progr. Math., 310, Birkhäuser/Springer, Cham, 2017.
La Nave, Gabriele; Tian, Gang; Zhang, Zhenlei. Bounding diameter of singular Kähler metric. Amer. J. Math. 139 (2017), no. 6, 1693–1731.
Tian, Gang; Xu, Guangbo. The symplectic approach of gauged linear $\gamma$-model. Proceedings of the Gökova Geometry-Topology Conference 2016, 86–111, Gökova Geometry/Topology Conference (GGT), Gökova, 2017.
Tian, Gang. A third derivative estimate for Monge-Ampere equations with conic singularities. Chin. Ann. Math. Ser. B 38 (2017), no. 2, 687–694.
Song, Jian; Tian, Gang. The Kähler-Ricci flow through singularities. Invent. Math. 207 (2017), no. 2, 519–595.
Tian, Gang. Notes on Kähler-Ricci flow. Ricci flow and geometric applications, 105–136, Lecture Notes in Math., 2166, Springer, [Cham], 2016.
Tian, Gang; Zhang, Zhenlei. Convergence of Kähler-Ricci flow on lower-dimensional algebraic manifolds of general type. Int. Math. Res. Not. IMRN 2016, no. 21, 6493–6511.
Tian, Gang. Futaki invariant and CM polarization. Geometry and topology of manifolds, 327–348, Springer Proc. Math. Stat., 154, Springer, [Tokyo], 2016.
La Nave, Gabriele; Tian, Gang. A continuity method to construct canonical metrics. Math. Ann. 365 (2016), no. 3-4, 911–921.
Tian, Gang; Zhang, Zhenlei. Regularity of Kähler-Ricci flows on Fano manifolds. Acta Math. 216 (2016), no. 1, 127–176.
Song, Jian; Tian, Gang. Bounding scalar curvature for global solutions of the Kähler-Ricci flow. Amer. J. Math. 138 (2016), no. 3, 683–695.
Tian, Gang; Xu, Guangbo. Correlation functions of gauged linear $\gamma$-model. Sci. China Math. 59 (2016), no. 5, 823–838.
Boileau, Michel; Besson, Gerard; Sinestrari, Carlo; Tian, Gang. Ricci flow and geometric applications. Lecture notes from the CIME Summer School held in Cetraro, 2010. Edited by Riccardo Benedetti and Carlo Mantegazza. Lecture Notes in Mathematics, 2166. Springer, [Cham]; Fondazione C.I.M.E., Florence, 2016. xi+136 pp.
La Nave, Gabriele; Tian, Gang. Soliton-type metrics and Kähler-Ricci flow on symplectic quotients. J. Reine Angew. Math. 711 (2016), 139–166.
Tian, Gang. Corrigendum: K-stability and Kähler-Einstein metrics. Comm. Pure Appl. Math. 68 (2015), no. 11, 2082–2083.
Tian, Gang; Wang, Bing. On the structure of almost Einstein manifolds. J. Amer. Math. Soc. 28 (2015), no. 4, 1169–1209.
Tian, Gang; Zhang, Qi S. A compactness result for Fano manifolds and Kähler Ricci flows. Math. Ann. 362 (2015), no. 3-4, 965–999.
Tian, Gang. K-stability and Kähler-Einstein metrics. Comm. Pure Appl. Math. 68 (2015), no. 7, 1085–1156.
Tian, Gang. Kähler-Einstein metrics on Fano manifolds. Jpn. J. Math. 10 (2015), no. 1, 1–41.
Hong, Min-Chun; Tian, Gang; Yin, Hao. The Yang-Mills $\alpha$-flow in vector bundles over four manifolds and its applications. Comment. Math. Helv. 90 (2015), no. 1, 75–120.
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