Song Sun

Song Sun (, born in 1987) is a Chinese mathematician whose research concerns geometry and topology. A Sloan Research Fellow, he has been a professor in the Department of Mathematics of the University of California, Berkeley since 2018. In 2019, he was awarded the Oswald Veblen Prize in Geometry.

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. 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. His doctoral advisor was Xiuxiong Chen, and his dissertation was titled "Kempf–Ness theorem and uniqueness of extremal metrics".

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

He was an invited speaker at the 2018 International Congress of Mathematicians in Rio de Janeiro. In 2021, he was awarded the New Horizons Prize in Mathematics by the Breakthrough Prize Foundation.

Conjecture on Fano manifolds and Veblen Prize
In 2019, Sun was awarded the Oswald Veblen Prize in Geometry, together with his former advisor Xiuxiong Chen and English mathematician 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 Fields Medalist Shing-Tung Yau, who had previously proved the Calabi conjecture. The conjecture was later given a precise formulation by Donaldson, based in part  on earlier work by  Gang Tian. The solution found by Chen, Donaldson and Sun was published in the Journal of the American Mathematical Society in 2015 as a holistic three-article series, "Kähler–Einstein metrics on Fano manifolds, I, II and III".