In 2002 and 2003,
Grigori Perelman posted three
preprints to the arXiv claiming a resolution of the renowned
Poincaré conjecture, along with the more general
geometrization conjecture. His work contained a number of notable new results on the
Ricci flow, although many proofs were only sketched and a number of details were unaddressed. Zhu collaborated with
Huai-Dong Cao of
Lehigh University in filling in the details of Perelman's work, along with reworking various elements. Their work, containing expositions of Perelman's work along with the foundational work of
Richard Hamilton, was published in the June 2006 issue of the
Asian Journal of Mathematics. Other notable expositions were released around the same time, one by
John Morgan of
Columbia University and
Gang Tian of
Princeton University, and the other by
Bruce Kleiner of
Yale University and
John Lott of
University of Michigan. Cao and Zhu later posted a version with revised wording to the arxiv, following criticism alleging that their original version claimed too much credit for themselves. They also published an
erratum, as it had been found that one of the pages of their work was essentially identical to a page from a publicly available draft of Kleiner and Lott from 2003. They explained that they had taken down some notes from Kleiner and Lott's paper. When writing their exposition, they had failed to realize these particular notes' original source. ==Morningside Medal==