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Roberto Tomás Villaflor

Postdoc @ IMPA

rvilla [at] impa [dot] br

About me

I am currently a Postdoc in the Complex Geometry and Holomorphic Foliations group of IMPA, working with Hossein Movasati.

My main area of research is Algebraic Geometry, with emphasis in Hodge Theory and algebraic cycles. I am interested in developing techniques to compute periods of Hodge cycles explicitly, and use this information to study algebraic varieties. I am particularly interested in the Hodge conjecture, and its variational version. My work have concentrated in the case of hypersurfaces, where we can associate to every non-trivial primitive Hodge cycle an Artinian Gorenstein algebra. Lately this relation has specially dragged my attention.

Here you can find my CV.





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