MSRI- Topology of Stratified Spaces

  1. Title:
    Hodge theory of Calabi-Yau fibrations

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  2. Title:
    Characteristic classes of mixed Hodge modules

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  3. Title:
    Singularities of Normal Functions

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  4. Title:
    Hodge Structures and Homological Mirror Symmetry

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  5. Title:
    The perverse filtration and the Lefschetz Hyperplane Theorem

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  6. Title:
    Motivic Characteristic classes of singulare varieties

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  7. Title:
    Singularities in the Minimal Model Program

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  8. Title:
    Singular Elliptic Genus of Normal Surfaces

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  9. Title:
    Leray-type Operators for Stratified Spaces and the Parshin's Reciprocity Law for Residues

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  10. Title:
    Monodromy of curves and quasi-ordinary surfaces

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  11. Title:
    Cohomology of complements to algebraic plane curves

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  12. Title:
    Elliptic genus of singular varieties

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  13. Title:
    The (intersection) homology groups of a fibre bundle over a sphere

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  14. Title:
    Lattices with torsion and rational homology manifolds

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  15. Title:
    The weight filtration for real algebraic varieties

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  16. Title:
    Stratified Surgery and Functoriality

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  17. Title:
    Replacement of fixed points of group actions

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  18. Title:
    The Signature of Singular Spaces and its Refinements to Generalized Homology Theories.

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  19. Title:
    The signature operator on Witt spaces (joint work with Pierre Albin, Eric Leichtnam and Rafe Mazzeo)

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  20. Title:
    Cohomology of compactifications of locally symmetric spaces

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