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I am working with birational geometry of Calabi-Yau pairs and a refined version of the Sarkisov Program which is called volume preserving.

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I am studying partial connections on foliations, and trying to use it to understand transversal structures, Godbillon-Vey sequences, holonomy, etc.

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I am working with codimension one foliations defined over a field of positive characteristic and application to problems of characteristic zero. In particular, applications to the problem of detecting irreducible components of the space of codimension one holomorphic foliations in projective spaces.

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I am working with birational geometry of Calabi-Yau pairs and a refined version of the Sarkisov Program which is called volume preserving.

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I am working with codimension one foliations defined over a field of positive characteristic and application to problems of characteristic zero. In particular, applications to the problem of detecting irreducible components of the space of codimension one holomorphic foliations in projective spaces.

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I am working with birational geometry of Calabi-Yau pairs and a refined version of the Sarkisov Program which is called volume preserving.

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I am working in the intersection of combinatorics and algebraic geometry, with matroid and blueprint theory.

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I study the geometry of fibrations by singular curves in positive characteristic.

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I am working with birational geometry of Calabi-Yau pairs and a refined version of the Sarkisov Program which is called volume preserving.

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