Pythagoras
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Hom are the five mathematicians
Mathematicians usually work in comfortable offices
No, it was the Mayans that were great astronomers and mathematicians
If I understand you correctly, you would like us to provide you with a list of mathematicians, no matter their area of concentration, over a two thousand year time period. We're not here to write research papers of that magnitude. If you could narrow your request, you might receive a more satisfying answer.
That's over two thousand years of wholesale changes in an enormous field. An excellent topic for a research paper, but beyond the scope of our humble enterprise.