汉密尔顿迷失在何方？

国际数学家大会说明汉密尔顿的困境，也是丘成桐的困境。

国际数学家大会颁奖公告Grigory Perelman部分，说明了颁奖给佩雷尔曼的根据之一是他破解了庞加莱猜想。同时，公告说明了汉密尔顿等人在破解庞加莱猜想中的迷失困境：

……Hamilton's idea was to use the Ricci flow to homogenize the geometry of 3-manifolds to show that their geometry fits into Thurston's classification. Over more than twenty years, Hamilton and other geometric analysts made great progress in understanding the Ricci flow. But they were stymied in figuring out how to handle "singularities", which are regions where the geometry, instead of getting homogenized, suddenly exhibits uncontrolled changes.

这等于说汉密尔顿那些人对理解Ricci flow取得很大进展，却并未破解庞加莱猜想。丘成桐自始至终高抬汉密尔顿，说明他跟汉密尔顿一样陷入了困境。

WSJ、NYT、NATURE 和 NEW YORKER 的文章都符合国际数学家大会的说明。