There are more things in heaven and earth, Horatio,
Than are dreamt of in your philosophy.

Vanishing Cycles

1. Local systems and integrable connections (pdf).
2. Meromorphic connections (pdf).
3. Regular meromorphic connections on Δ* (pdf).
4. The nearby cycle of a meromorphic connection over Δ* (pdf).
5. Specialization of 𝒟-modules (pdf)
6. ⋮

Supplements

• Cauchy’s theorem (pdf).
• Nearby cycles do not glue (an example of El Zein–Lê–Migliorini) (pdf)

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