Song Sun

Song Sun (Chinese: 孙崧; pinyin: Sūn Sōng, born in 1987) is a Chinese mathematician whose research concerns geometry and topology. A Sloan Research Fellow and a laureate of the 2019 Oswald Veblen Prize in Geometry, he has been an associate professor at the Department of Mathematics of the University of California, Berkeley since 2018.

The native form of this personal name is Sun Song. This article uses Western name order when mentioning individuals.

Biography

Sun attended Huaining High School in Huaining County, Anhui, China, before being admitted to the Special Class for the Gifted Young at the University of Science and Technology of China in 2002.[1] After graduating from the program with a B.S. in 2006, he moved to the United States to pursue graduate studies at the University of Wisconsin, obtaining his Ph.D in mathematics (differential geometry) in 2010.[1][2] His doctoral advisor was Xiuxiong Chen, and his dissertation was titled "Kempf–Ness theorem and uniqueness of extremal metrics".[3]

Sun worked as a research associate at Imperial College London before becoming an assistant professor at Stony Brook University in 2013.[2] He was awarded the Sloan Research Fellowship in 2014.[2] In 2018, he was appointed an associate professor at the Department of Mathematics of the University of California, Berkeley.[4]

He was an invited speaker at the 2018 International Congress of Mathematicians, in Rio de Janeiro.[5] For 2021 he received the Breakthrough Prize in Mathematics - New Horizons in Mathematics.[6]

Conjecture on Fano manifolds and Veblen Prize

In 2019, Sun was awarded the prestigious Oswald Veblen Prize in Geometry, together with his former advisor Xiuxiong Chen and Simon Donaldson, for proving a long-standing conjecture on Fano manifolds, which states that "a Fano manifold admits a Kähler–Einstein metric if and only if it is K-stable". It had been one of the most actively investigated topics in geometry since a rough version of it was conjectured in the 1980s by Shing-Tung Yau, who had previously proved the Calabi conjecture.[7] The conjecture was later given a precise formulation by Donaldson, based in part on earlier work of Gang Tian. The solution by Chen, Donaldson and Sun was published in the Journal of the American Mathematical Society in 2015 as a three-article series, "Kähler–Einstein metrics on Fano manifolds, I, II and III".[7][8]

Major publications
  • Donaldson, Simon; Sun, Song (2014). "Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry". Acta Math. 213 (1): 63–106. doi:10.1007/s11511-014-0116-3. S2CID 120450769.
  • Chen, Xiuxiong; Donaldson, Simon; Sun, Song (2015). "Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities". J. Amer. Math. Soc. 28 (1): 183–197. arXiv:1211.4566. doi:10.1090/S0894-0347-2014-00799-2. S2CID 119641827.
  • Chen, Xiuxiong; Donaldson, Simon; Sun, Song (2015). "Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π". J. Amer. Math. Soc. 28 (1): 199–234. arXiv:1212.4714. doi:10.1090/S0894-0347-2014-00800-6. S2CID 119140033.
  • Chen, Xiuxiong; Donaldson, Simon; Sun, Song (2015). "Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof". J. Amer. Math. Soc. 28 (1): 235–278. arXiv:1302.0282. doi:10.1090/S0894-0347-2014-00801-8. S2CID 119575364.

References
  1. "陈秀雄孙崧荣获维布伦奖". University of Science and Technology of China Initiative Foundation. 2018-11-20. Retrieved 2019-04-09.
  2. "Song Sun Awarded Prestigious Sloan Fellowship for Mathematics". Stony Brook University. 2014-02-18. Retrieved 2019-04-03.
  3. "Song Sun". The Mathematics Genealogy Project. Retrieved 2019-04-03.
  4. "Song Sun". Department of Mathematics, University of California Berkeley. Retrieved 2019-04-03.
  5. "Invited Section Lectures Speakers". ICM 2018. Retrieved 2019-04-03.
  6. Breakthrough Prize in Mathematics 2021
  7. "2019 Oswald Veblen Prize in Geometry to Xiuxiong Chen, Simon Donaldson, and Song Sun". American Mathematical Society. 2018-11-19. Retrieved 2019-04-09.
  8. "Song Sun to receive the 2019 Oswald Veblen Prize in Geometry. Congratulations!". Department of Mathematics, University of California Berkeley. Retrieved 2019-04-03.
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