Song Sun

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. where he was promoted to full professor in 2021. 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, for many groundbreaking contributions to complex differential geometry, including existence results for Kahler-Einstein metrics and connections with moduli questions and singularities. In January 2024, he returned to China and joined the Institute for Advanced Study in Mathematics (IASM) at Zhejiang University. == 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. == Major publications ==