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Various points of view and techniques come in the picture when studying these invariants: resolutions of singularities, jet schemes, D-modules or positive characteristic methods.

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Other interests include birational geometry, asymptotic base loci and invariants of divisors, and toric varieties. Here are my CV and a list of publications.

Video - Heidelberg Laureate Forum

Papers You can find here my papers on the archive. Here are a few recent ones: 1.


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The combinatorics and topology of proper toric maps with Mark de Cataldo and Luca Migliorini , available at arXiv The dimension of jet schemes of singular varieties, available at arXiv Volume 7 - January - December DIgital. Volume 8 - January - December Digital.

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Volume 11 - January - December Digital. Want to present your work at the Center of Math?

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Lecture: Resolution of Singularities in Algebraic Geometry

Lecture Archive. David B. Journal of Singularities.