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Academic Search lists Impagliazzo (in the Algorithms and Theory top of authors) ahead of people like Stephen Cook, Nancy Lynch, Martin Abadi, and Laszlo Lovasz. Of course, an automatic algorithm that ranks people by citations is far from a perfect mechanism to judge the value of one's work.
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Impagliazzo is one of the foremost academics studying computational complexity theory, as those in the field will know. He's known for "Impagliazzo's Hard-Core Lemma", as well as a canonical proof of Ladner's Theorem (used in Arora and Barak) among other things.
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Still, you don't get to be ranked in Top 100 of all time in
Algorithms and Theory unless you did something notable. Given this and the comments above, I will remove the notability question from the main article.
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Impagliazzo is academically notable. Given what I know about Impagliazzo at the moment, my best argument for his notability is that he is currently a member of the
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Someone has challenged the notability of
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Find pictures for the biographies of computer scientists (see
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