My Research
Research Interest
My research interest is in the study of singularities in algebraic geometry, in particular the computation of characteristic classes and local invariants on singular spaces using intersection theory. I am currently interested in how the characteristic classes reflect the geometry of a singular variety, and how group actions affect the characteristic classes. Also I am interested in how to compute (motivic) Chern classes, local Euler obstructions, and sectional Euler characteristics of interesting singular spaces.
My Research Proposal
Publication and Articles
2016 Chern classes and Characteristic Cycles of Determinantal Varieties (submitted)
2017 Local Euler Obstruction and Chern-Mather Class of Determinantal Varieties (arxiv eprint)
2017 Equivariant Characteristic Classes of Determinantal Varieties (arxiv eprint)
2017 Equivariant Segre Classes and a Formula on Equivariant Chern-Schwartz-MacPherson Classes of Hypersurfaces (in preparation)