Title: Towards a birational geometric version of the monodromy conjecture.Abstract: The monodromy conjecture of Denef—Loeser is a conjecture in singularity theory that predicts that given a complex polynomial f, and any pole […]

Title: Hodge symmetries of singular varieties.Abstract: The Hodge diamond of a smooth projective complex variety exhibits fundamental symmetries, arising from Poincaré duality and the purity of Hodge structures. In the case of […]

Title: Stable maps to quotient stacks with a properly stable point.Abstract: I will present a compactification of the moduli space of maps from families of curves, to certain moduli spaces M, via […]

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