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Jun 8, 2020 at 18:46 comment added Sylvain Ribault If you count matrix models or more general integrable systems as QFT, these have a lot to do with the algebraic geometry of the spectral curve. See the review article arxiv.org/abs/1510.04430 .
Jun 8, 2020 at 4:13 comment added Vivek Shende There has been a lot of work on the algebraic geometry of Feynman integrals (just search for "periods, motives, Feynman integrals"). You might also consider the direction started by Arkani-Hamed et al. in arxiv.org/abs/1212.5605
Jun 8, 2020 at 1:04 comment added B. Bischof This older paper of a classmate of mine was in this intersection of areas: arxiv.org/pdf/1112.6208.pdf and may be of interest.
Jun 7, 2020 at 17:44 comment added Sebastien Palcoux The problem of categorification can be seen as in the intersection of TQFT and algebraic geometry, see here.
Jun 7, 2020 at 16:43 history asked Hollis Williams CC BY-SA 4.0