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    $\begingroup$ A research mathematician remembers results by using them. But judging by the number of upvotes this question has, there must be more to say than that... $\endgroup$ Commented Sep 27, 2013 at 10:04
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    $\begingroup$ What old math ? $\endgroup$ Commented Sep 27, 2013 at 10:09
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    $\begingroup$ I think you may be overestimating the cost of relearning. Having spent six years in proprietary trading after my D.Phil. (in geometry) I certainly forgot plenty of things but I also found I could pick them up again very quickly with the bonus that I usually understood them better the second time round. I would even go so far as to say I think this is often better than never forgetting in the first place. $\endgroup$ Commented Sep 27, 2013 at 10:14
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    $\begingroup$ I find that blogging about material that I would otherwise forget eventually is extremely valuable in this regard. (I end up consulting my own blog posts on a regular basis.) EDIT: and now I remember I already wrote on this topic: terrytao.wordpress.com/career-advice/write-down-what-youve-done $\endgroup$ Commented Sep 27, 2013 at 14:41
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    $\begingroup$ I'd upvote Terry's comment multiple times if I could. In my case, I find that writing up material and uploading it to a place I can always find it (e.g., here, or to the nLab) is a great way to hammer mathematics into the brain. $\endgroup$ Commented Sep 27, 2013 at 14:55