Edouard Balzin

Old webpage, I now work at Magic LEMP.



Keywords: Homotopical Algebra, Higher Category Theory, Artificial Intelligence.

Curriculum Vitae

Preprints and Publications

• Edouard Balzin, Boris Shminke, A Neural Network for Semigroups, preprint, arXiv:2103.07388, hal-03175811, 12 pages.
• Edouard Balzin, The formalism of Segal sections, preprint, arXiv:1811.09601, 59 pages.
• Edouard Balzin, Reedy model structures in families, preprint (slightly updated), arXiv:1803.00681, 90+ pages.
• Eduard Balzin, Grothendieck fibrations and homotopical algebra, PhD thesis defended on 20 June 2016. Manuscript, Slides (French).
• Edouard Balzin, Derived sections and categorical resolutions in homotopical context, preprint arXiv:1410.3387, 50 pages, Applied Categorical Structures (2017) doi:10.1007/s10485-017-9483-1.
• E. R. Balzin, Derived sections, Factorisation Algebras and Deligne Conjecture, Mathematical Notes 100(1), 313-317.
• E. R. Balzin, Resolutions of categories and derived sections, Russian Mathematical Surveys 69:5 (2014), pp. 918–920.

Other Mathematical Works

• Current Research Statement.
• Poster Neural Semigroups and Shapes of Learning presented at journées 3IA, 30/11/2021-01/12/2021.
• Talk Can Neural Networks Have Homology? presented at 3IA seminar, 7/05/2021.
• Materials for a differential geometry course that I gave (Ecole Polytechnique, 2021): lecture notes, lecture slides, problem sets (to work in class and at home, joint with Cameron Calk)
• Talk Formal Theory of Monads (Following Street) at 2014 session of Kan Extension Seminar organised by Emily Riehl.
• Incomplete set of lecture notes for the model categories course given at the Independent University of Moscow in 2012.

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