Applications of Grothendieck's work

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Alexander Grothendieck is recognized as one of the greatest mathematicians of the 20th century, primarily for his groundbreaking work in algebraic geometry. His contributions have had significant implications across various fields, including cryptography, genetics, and robotics. The discussion highlights a particular interest in understanding how Grothendieck's algebraic geometry can be applied to genetics, a field of growing interest for some participants. The conversation also references external resources, including articles and forums, for deeper insights into Grothendieck's influence and the applications of his mathematical theories. Overall, Grothendieck's legacy continues to resonate in contemporary scientific research and applications.
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Attached below is a link to an article on Grothendieck, who is regarded by some as the greatest mathematician of the 20th century (he is certainly one of the greatest if not the greatest). In the article, it states that his work has been applied to cryptography, genetics, and robotics. Can anybody explain how his field, which if I am not mistaken was algebraic geometry, has been useful in these fields, but especially genetics, since that is a field I am currently very interested in (from a biophysical standpoint).

Here is the article:
http://www.nytimes.com/2014/11/16/w...grothendieck-math-enigma-dies-at-86.html?_r=0
 
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I did not, but there are some excellent answers there, thanks for the pointer.
 
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