Research interests

I am generally interested in the intersection of Bernstein–Sato ideals, cohomology support loci, and, in the hyperplane arrangement case, resonance varieties. In particular, to what extent does logarithmic data of a divisor inform any of the previous items (or finer invariants)? I also think about the logarithmic de Rham complex, logarithmic comparison theorem type questions, and constructing free divisors. In a different vein, I do work in problems of local cohomology and of arithmetic rank.

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