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math.RT2026
Lectures on singularity categories
Matt Booth
These are notes for a graduate-level introductory course on singularity categories.
math.RT2025
Reflexive dg categories in algebra and topology
Matt Booth, Isambard Goodbody, Sebastian Opper
Reflexive dg categories were introduced by Kuznetsov and Shinder to abstract the duality between bounded and perfect derived categories. In particular this duality relates their Ho…