Timeline for Research in applied algebraic geometry that essentially needs a background of modern algebraic geometry at Hartshorne's level
Current License: CC BY-SA 4.0
19 events
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| Oct 9, 2021 at 16:40 | answer | added | Shiva | timeline score: 4 | |
| Nov 18, 2020 at 0:11 | comment | added | JCK | How about this dissertation from Kileel: web.math.princeton.edu/~jkileel/thesis.pdf? It claims to use something called "Ulrich sheaves", but I haven't dug into it enough to see how much it 'really' needs. | |
| May 31, 2018 at 17:39 | answer | added | meh | timeline score: 4 | |
| May 27, 2018 at 0:51 | answer | added | Sean Lawton | timeline score: 9 | |
| May 27, 2018 at 0:19 | comment | added | Timothy Chow | You could try asking David Mumford; I would expect him to be familiar with any use of algebraic geometry in computer vision. There is going to be a symposium in August in his honor that you might find interesting. cmsa.fas.harvard.edu/mumford | |
| May 26, 2018 at 5:01 | comment | added | No One | @mmm Of course, that's fascinating! | |
| May 26, 2018 at 2:06 | answer | added | Timothy Chow | timeline score: 6 | |
| May 25, 2018 at 23:16 | answer | added | Pop | timeline score: 16 | |
| May 25, 2018 at 20:20 | comment | added | Andy Putman | I won't post this as an answer since I am not super-familiar with his research, but my colleague Andrew Sommese started off life as a very pure algebraic geometer (working in the post-Grothendieck context of schemes and what not) and later shifted into applications of algebraic geometry. You might check out his work: www3.nd.edu/~sommese | |
| May 25, 2018 at 19:24 | comment | added | mmm | Does this count? arxiv.org/pdf/1303.3255.pdf specifically p.159 and p.168 | |
| May 25, 2018 at 19:14 | history | edited | No One | CC BY-SA 4.0 |
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| May 25, 2018 at 18:20 | comment | added | No One | @PaulSiegel Good comment! But I am still praying that this question will enlighten some mathematicians and trigger such "accidents". We can wait. | |
| May 25, 2018 at 18:12 | comment | added | Paul Siegel | That said, a lot of number theorists study cryptography, so that's not an unreasonable place to look for such an accident. | |
| May 25, 2018 at 18:11 | comment | added | Paul Siegel | I'm skeptical that you'll get any good answers to this, primarily for sociological reasons. Applied mathematics is driven by practitioners and domain experts, not theorists, and for obvious reasons they organize their subject around things they understand rather than things that they don't. Hartshorne is a pretty serious and speculative investment for someone working on disease dynamics or fluid flow. On the other side, algebraic geometers are mostly interested in, well, algebraic geometry problems. So applications of the sort you describe would require a weird historical accident. | |
| May 25, 2018 at 18:07 | answer | added | Alexandre Eremenko | timeline score: 7 | |
| May 25, 2018 at 18:04 | history | edited | No One | CC BY-SA 4.0 |
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| May 25, 2018 at 17:40 | history | edited | No One | CC BY-SA 4.0 |
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| May 25, 2018 at 17:25 | history | edited | No One | CC BY-SA 4.0 |
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| May 25, 2018 at 17:19 | history | asked | No One | CC BY-SA 4.0 |