Professor, Mel Hochster Fellow
mmustata@umich.edu
Office Information:
Office Number: 3064
phone: 764-6452
Algebra and Algebraic Geometry;
Mathematics
Education/Degree:
Ph. D., UC-Berkeley (2001)
About
I am interested in singularities of algebraic varieties and the role thesesingularities play in the global geometry of higher-dimensional varieties.My research involves invariants of singularities such as log canonicalthresholds, minimal log discrepancies, multiplier ideals, Bernstein-Satopolynomials, and F-thresholds. Over the past few years I have beeninvolved in a long-term project with Mihnea Popa, studying certaininvariants of hypersurface singularities (Hodge ideals) that arise natu-rally from Saito's theory of mixed Hodge modules.
