In the most recent AMS Bulletin [1], there is an interesting article titled "String theory and math: Why this marriage may last. Mathematics and dualities of quantum physic" [2] from Mina Aganagic. Aganagic is a member of both UC Berkeley's Department of Physics and Department of Math. I find it interesting because it shows the interplay between the fields of math and physics and how that interaction pushes each field. I believe that this is a reminder for us all to not shun ideas of other fields, but learn from them.. learn the similarities and differences between the field(s) we deal with and gain experience from others'. I do not claim knowledge of the details of the paper, I mostly have skimmed it to glean what I can.
I also recommend the article about the cover which is of the cover of Gauss's "Disquisitiones Arithmeticæ" [3] for the discussion on the many proofs of the Law of Quadratic Reciprocity. The perspective that there are many ways to show the same thing is interesting. What can we learn from this?
[1] http://www.ams.org/journals/bull/2016-53-01/
[2] http://www.ams.org/journals/bull/2016-53-01/S0273-0979-2015-01517-X/
[3] http://www.ams.org/journals/bull/2016-53-01/S0273-0979-2015-01521-1/S0273-0979-2015-01521-1.pdf
Friday, February 12, 2016
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