Lecture Notes

Stacks and Moduli, (last updated: July 7, 2025)

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Other expository articles

• Evolution of Stacks and Moduli, pdf.
• Embracing AI and Formalization: Experimenting with Tomorrow's Mathematical Tools, pdf.
• Advances in Moduli Theory, pdf.
• A Guide to Organizing a Virtual Conference (with D. Litt and I. Vogt), pdf. to appear in Notices Of The American Mathematical Society.
• Artin algebraization and quotient stacks, pdf.
  notes from the summer school Algebraic stacks and related topics in Mainz, Germany (Aug. 31 - Sept. 4, 2015).
• The moduli stack of semistable curves
  Oberwolfach Reports, Report No. 6 (2013), 373-376 (journal version).
• Birational models of M_g
  Oberwolfach Reports, Report No. 30 (2012), 22-25 (journal version).
• Good moduli spaces for Artin stacks
  Oberwolfach Reports, Report No. 26 (2008), 14-16 (journal version).