Research
My main research interest is Algebraic Geometry and in
particular various topics around the McKay Correspondence (click here to read about it) and its connection with
Representation Theory. I study G-invariant Hilbert schemes
and moduli spaces of quiver representations specially for non-abelian group actions.
I am recently getting very interested in deformation of singularities and simultaneos resolutions.
Here are my preprints:
- "Flops and mutations for crepant resolutions of polyhedral singularities" (with Y. Sekiya),
in arXiv soon.
- "On G/N-Hilb of N-Hilb" (with A. Ishii and Y. Ito),
in arXiv soon.
- "Dihedral G-Hilb via representations of the McKay quiver", (2009),
arXiv.0905.1195.
Latest version pdf.
- "G-graphs and special representations for binary dihedral groups in GL(2, C)", (2009),
arXiv.0905.1190.
Latest version pdf.
- "Dihedral groups and G-Hilbert schemes", University of Warwick PhD thesis, February 2009 pdf.
Conferences and Talks
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