nLab Daniel Murfet

Selected writings

Daniel Murfet is an algebraic geometer; his PhD advisor was Amnon Neeman. Daniel keeps a blog The Rising Sea which is not very active, but hosts lots of (nice and reliable) Daniel’s expositional notes (pdf files) on algebraic geometry, homological algebra and some category theory.

Selected writings

On Grothendieck universes in category theory:

On machine learning:

  • S. Wei, Daniel Murfet, M. Gong, H. Li , J. Gell-Redman, T. Quella, Deep learning is singular, and that’s good, IEEE Transactions on neural networks and learning systems pdf

On a category of matrix factorizations in the context of Landau-Ginzburg models, described in terms of linear logic and the geometry of interactions:

Introduction to linear logic with amplification of its categorical semantics via linear algebra (in Vect/FinDimVect):

On a bicategory of Landau-Ginzburg models with matrix factorizations as 1-morphisms:

A bicategory of Landau-Ginzburg models where matrix factorizations supply morphisms is studied in

  • Nils Carqueville, Daniel Murfet, Adjunctions and defects in Landau-Ginzburg models, Advances in Mathematics 289 (2016) 480–566 doi

Last revised on April 8, 2023 at 21:34:42. See the history of this page for a list of all contributions to it.